The fine and hyperfine structures of pionic helium metastable states is calculated within the formalism of the Breit-Pauli Hamiltonian by using the variationally generated wave functions in Hylleraas coordinates.Our r...The fine and hyperfine structures of pionic helium metastable states is calculated within the formalism of the Breit-Pauli Hamiltonian by using the variationally generated wave functions in Hylleraas coordinates.Our results not only verify the existing values of Hori et al.[Phys.Rev.A 89,042515(2014)]for the fine structure of π^(4)He^(+),but also determine the hyperfine structure of π^(3)He^(+).展开更多
For the two-dimensional(2D)scalar conservation law,when the initial data contain two different constant states and the initial discontinuous curve is a general curve,then complex structures of wave interactions will b...For the two-dimensional(2D)scalar conservation law,when the initial data contain two different constant states and the initial discontinuous curve is a general curve,then complex structures of wave interactions will be generated.In this paper,by proposing and investigating the plus envelope,the minus envelope,and the mixed envelope of 2D non-selfsimilar rarefaction wave surfaces,we obtain and the prove the new structures and classifications of interactions between the 2D non-selfsimilar shock wave and the rarefaction wave.For the cases of the plus envelope and the minus envelope,we get and prove the necessary and sufficient criterion to judge these two envelopes and correspondingly get more general new structures of 2D solutions.展开更多
Background:Tumor cell heterogeneity mediated drug resistance has been recognized as the stumbling block of cancer treatment.Elucidating the cytotoxicity of anticancer drugs at single-cell level in a high-throughput wa...Background:Tumor cell heterogeneity mediated drug resistance has been recognized as the stumbling block of cancer treatment.Elucidating the cytotoxicity of anticancer drugs at single-cell level in a high-throughput way is thus of great value for developing precision therapy.However,current techniques suffer from limitations in dynamically characterizing the responses of thousands of single cells or cell clones presented to multiple drug conditions.Methods:We developed a new microfluidics-based“SMART”platform that is Simple to operate,able to generate a Massive single-cell array and Multiplex drug concentrations,capable of keeping cells Alive,Retainable and Trackable in the microchambers.These features are achieved by integrating a Microfluidic chamber Array(4320 units)and a sixConcentration gradient generator(MAC),which enables highly efficient analysis of leukemia drug effects on single cells and cell clones in a high-throughput way.Results:A simple procedure produces 6 on-chip drug gradients to treat more than 3000 single cells or single-cell derived clones and thus allows an efficient and precise analysis of cell heterogeneity.The statistic results reveal that Imatinib(Ima)and Resveratrol(Res)combination treatment on single cells or clones is much more efficient than Ima or Res single drug treatment,indicated by the markedly reduced half maximal inhibitory concentration(IC50).Additionally,single-cell derived clones demonstrate a higher IC_(50) in each drug treatment compared to single cells.Moreover,primary cells isolated from two leukemia patients are also found with apparent heterogeneity upon drug treatment on MAC.Conclusions:This microfluidics-based“SMART”platform allows high-throughput single-cell capture and culture,dynamic drug-gradient treatment and cell response monitoring,which represents a new approach to efficiently investigate anticancer drug effects and should benefit drug discovery for leukemia and other cancers.展开更多
Cold trapped ions can be excellent sensors for ultra-precision detection of physical quantities,which strongly depends on the measurement situation at hand.The stylus ion trap,formed by two concentric cylinders over a...Cold trapped ions can be excellent sensors for ultra-precision detection of physical quantities,which strongly depends on the measurement situation at hand.The stylus ion trap,formed by two concentric cylinders over a ground plane,holds the promise of relatively simple structure and larger solid angle for optical access and fluorescence collection in comparison with the conventional ion traps.Here we report our fabrication and characterization of the first stylus ion trap constructed in China,aiming for studying quantum optics and sensing weak electric fields in the future.We have observed the stable confinement of the ion in the trapping potential for more than two hours and measured the heating rate of the trap to be dε/dt=7.10±0.13 meV/s by the Doppler recooling method.Our work starts a way to building practical quantum sensors with high efficiency of optical collection and with ultimate goal for contributing to future quantum information technology.展开更多
Objective To explore the migration of transplanted neural stem cells co-labeled with superparamagnetic iron oxide(SPIO) and bromodeoxyuridine(Brdu) using the 4.7T MR system and to study the cell differentiation with i...Objective To explore the migration of transplanted neural stem cells co-labeled with superparamagnetic iron oxide(SPIO) and bromodeoxyuridine(Brdu) using the 4.7T MR system and to study the cell differentiation with immuno-histochemical method in ischemic rats.Methods Rat neural stem cells(NSCs) co-labelled with SPIO mediated by poly-L-lysine and bromodeoxyuridine(BrdU) were transplanted into the unaffected side of rat brain with middle cerebral artery occlusion(MCAO).At weeks 1,2,3,4,5,and 6 after MCAO,migration of the labelled cells was monitored by MRI.At week 6,the rats were killed and their brain tissue was cut according to the migration site of transplanted cells indicated by MRI and subjected to Prussian blue staining and immunohistochemical staining to observe the migration and differentiation of the transplanted NSCs.Results Three weeks after transplantation,the linear hypointensity area derived from the migration of labelled NSCs was observed by MRI in the corpus callosum adjacent to the injection site.Six weeks after the transplantation,the linear hypointensity area was moved toward the midline along the corpus callosum.MRI findings were confirmed by Prussian blue staining and immunohistochemical staining of the specimen at week 6 after the transplantation.Flourescence co-labelled immunohistochemical methods demonstrated that the transplanted NSCs could differentiate into astrocytes and neurons.Conclusion MRI can monitor the migration of SPIO-labelled NSCs after transplantation in a dynamical and non-invasive manner.NSCs transplanted into ischemic rats can differentiate into astrocytes and neurons during the process of migration.展开更多
The quantum wavefunctions and the corresponding energy levels of a RLC (Resistance-Inductance-Capacity) electric circuit are obtained by using canonical quantization method and unitary transformation from the classica...The quantum wavefunctions and the corresponding energy levels of a RLC (Resistance-Inductance-Capacity) electric circuit are obtained by using canonical quantization method and unitary transformation from the classical equation of motion. The quantum fluctuations of charge and current in an arbitrary eigenstate of the system have also been given as wellas the uncertainty relation. It is showed that even if at 0 K charge and current in the circuit exhibit quantum fluctuations, which originates from fluctuations of zero point vibrations of the system.展开更多
This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p,q,s) spaces in the unit ball of C^n,which contain many classical function spaces,such as the Bloch space,BMOA an...This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p,q,s) spaces in the unit ball of C^n,which contain many classical function spaces,such as the Bloch space,BMOA and Q_s spaces.The boundedness and compactness of these operators on F(p,q,s) spaces are characterized by means of an embedding theorem,i.e.,F(p,q,s) spaces boundedly embedded into the tent-type spaces T_(p,s)~∞(μ).展开更多
In this work, we obtain the global existence and uniqueness of classical solutions to a viscous liquid-gas two-phase model with mass-dependent viscosity and vacuum in one dimension, where the initial vacuum is allowed...In this work, we obtain the global existence and uniqueness of classical solutions to a viscous liquid-gas two-phase model with mass-dependent viscosity and vacuum in one dimension, where the initial vacuum is allowed. We get the upper and lower bounds of gas and liquid masses n and m by the continuity methods which we use to study the compressible Navier-Stokes equations.展开更多
Recently, a configuration using atomic interferometers(AIs) had been suggested for the detection of gravitational waves. A new AI with some additional laser pulses for implementing large momentum transfer was also put...Recently, a configuration using atomic interferometers(AIs) had been suggested for the detection of gravitational waves. A new AI with some additional laser pulses for implementing large momentum transfer was also put forward, in order to reduce the effect of shot noise and laser frequency noise. We use a sensitivity function to analyze all possible configurations of the new AI and to distinguish how many momenta are transferred in a specific configuration. By analyzing the new configuration,we further explore a detection scheme for gravitational waves, in particular, that ameliorates laser frequency noise. We find that the amelioration occurs in such a scheme,but novelly, in some cases, the frequency noise can be canceled completely by using a proper data processing method.展开更多
Using first-principles calculations within density functional theory, we study the atomic structures and electronic properties of the perfect and defective(2VCu+ InCu) CuInGaSe2/CdS interfaces theoretically, especiall...Using first-principles calculations within density functional theory, we study the atomic structures and electronic properties of the perfect and defective(2VCu+ InCu) CuInGaSe2/CdS interfaces theoretically, especially the interface states.We find that the local lattice structure of(2VCu+ InCu) interface is somewhat disorganized. By analyzing the local density of states projected on several atomic layers of the two interfaces models, we find that for the(2VCu+ InCu) interface the interface states near the Fermi level in CuInGaSe2and CdS band gap regions are mainly composed of interfacial Se-4p,Cu-3d and S-3p orbitals, while for the perfect interface there are no clear interface states in the CuInGaSe2region but only some interface states which are mainly composed of S-3p orbitals in the valance band of CdS region.展开更多
A generalized Bak-Sneppen model (BS model) of biological evolution with interaction strength θ is introduced in d-dimensional space, where the 'nearest neighbors' are chosen among the 2d neighbors of the extr...A generalized Bak-Sneppen model (BS model) of biological evolution with interaction strength θ is introduced in d-dimensional space, where the 'nearest neighbors' are chosen among the 2d neighbors of the extremal site, with the probabilities related to the sizes of the fitnesses. Simulations of one- and two-dimensional models are given. For given θ > 0, the model can self-organize to a critical state, and the critical threshold fc(θ) decreases as θ increases. The exact gap equation depending on θ is presented, which reduces to the gap equation of BS model as θ tends to infinity. An exact equation for the critical exponent γ(θ) is also obtained. Scaling relations are established among the six critical exponents of the avalanches of the model.展开更多
The success of LISA Pathfinder in demonstrating the LISA drag-free requirement paved the way for using space interferometers to detect low-frequency and middle-frequency gravitational waves(GWs). The TAIJI GW mission ...The success of LISA Pathfinder in demonstrating the LISA drag-free requirement paved the way for using space interferometers to detect low-frequency and middle-frequency gravitational waves(GWs). The TAIJI GW mission and the new LISA GW mission propose using an arm length of 3 Gm(1 Gm = 10~6 km) and an arm length of 2.5 Gm respectively. For a space laser-interferometric GW antenna,due to astrodynamical orbit variation, time delay interferometry(TDI) is needed to achieve nearly equivalent equal-arms for suppressing the laser frequency noise below the level of optical path noise, acceleration noise, etc in order to attain the requisite sensitivity. In this paper, we simulate TDI numerically for the TAIJI mission and the new LISA mission. To do this, we work out a set of 2200-day(6-year) optimized science orbits for each mission starting on 2028 March 22 using the CGC 2.7.1 ephemeris framework. Then we use the numerical method to calculate the residual optical path differences of the first-generation TDI configurations and the selected second-generation TDI configurations. The resulting optical path differences of the second-generation TDI configurations calculated for TAIJI, new LISA and eLISA are well below their respective requirements for laser frequency noise cancelation. However, for the first-generation TDI configurations, the original requirements need to be relaxed by 3 to 30 fold to be satisfied. For TAIJI and the new LISA, about one order of magnitude relaxation would be good and recommended; this could be borne on the laser stability requirement in view of recent progress in laser stability, or the GW detection sensitivities of the second-generation TDIs have to be used in the diagnosis of the observed data instead of the commonly used X, Y and Z TDIs.展开更多
We study the existence and stability of the standing waves of two coupled Schrdinger equations with potentials |x|bi(bi ∈ R, i = 1, 2). Under suitable conditions on the growth of the nonlinear terms, we first estab...We study the existence and stability of the standing waves of two coupled Schrdinger equations with potentials |x|bi(bi ∈ R, i = 1, 2). Under suitable conditions on the growth of the nonlinear terms, we first establish the existence of standing waves of the Schrdinger system by solving a L2-normalized minimization problem, then prove that the set of all minimizers of this minimization problem is stable. Finally, we obtain the least energy solutions by the Nehari method and prove that the orbit sets of these least energy solutions are unstable, which generalizes the results of [11] where b1= b2= 2.展开更多
This paper studies a miniature low power consumption laser-pumped atom vapour cell clock scheme.Pumping 87Rb with a vertical cavity surface emitting laser diode pump and locking the laser frequency on a Doppler-broade...This paper studies a miniature low power consumption laser-pumped atom vapour cell clock scheme.Pumping 87Rb with a vertical cavity surface emitting laser diode pump and locking the laser frequency on a Doppler-broadened spectral line,it records a 5×10 11τ 1/2(τ< 500 s) frequency stability with a table-top system in a primary experiment.The study reveals that the evaluated scheme is at the level of 2.7 watts power consumption,90 cm3 volume and 10 12τ 1/2 short-term frequency stability.展开更多
This article presents an elementary introduction on various aspects of the prototypical integrable model the Lieb–iniger Bose gas ranging from the cooperative to the collective features of many-body phenomena. In 196...This article presents an elementary introduction on various aspects of the prototypical integrable model the Lieb–iniger Bose gas ranging from the cooperative to the collective features of many-body phenomena. In 1963, Lieb and iniger first solved this quantum field theory many-body problem using Bethe's hypothesis, i.e., a particular form of waveunction introduced by Bethe in solving the one-dimensional Heisenberg model in 1931. Despite the Lieb–Liniger model is rguably the simplest exactly solvable model, it exhibits rich quantum many-body physics in terms of the aspects of mathmatical integrability and physical universality. Moreover, the Yang–Yang grand canonical ensemble description for the odel provides us with a deep understanding of quantum statistics, thermodynamics, and quantum critical phenomena at he many-body physical level. Recently, such fundamental physics of this exactly solved model has been attracting growing nterest in experiments. Since 2004, there have been more than 20 experimental papers that reported novel observations of ifferent physical aspects of the Lieb–Liniger model in the laboratory. So far the observed results are in excellent agreement ith results obtained using the analysis of this simplest exactly solved model. Those experimental observations reveal the nique beauty of integrability.展开更多
基金supported by the National Natural Science Foundation of China (Grant Nos. 11974382 and 11474316)the support from NSERC and SHARCnet of Canada
文摘The fine and hyperfine structures of pionic helium metastable states is calculated within the formalism of the Breit-Pauli Hamiltonian by using the variationally generated wave functions in Hylleraas coordinates.Our results not only verify the existing values of Hori et al.[Phys.Rev.A 89,042515(2014)]for the fine structure of π^(4)He^(+),but also determine the hyperfine structure of π^(3)He^(+).
基金supported in part by the NSFC(Grant No.11471332)The research of Gao-wei Cao was supported in part by the NSFC(Grant No.11701551).
文摘For the two-dimensional(2D)scalar conservation law,when the initial data contain two different constant states and the initial discontinuous curve is a general curve,then complex structures of wave interactions will be generated.In this paper,by proposing and investigating the plus envelope,the minus envelope,and the mixed envelope of 2D non-selfsimilar rarefaction wave surfaces,we obtain and the prove the new structures and classifications of interactions between the 2D non-selfsimilar shock wave and the rarefaction wave.For the cases of the plus envelope and the minus envelope,we get and prove the necessary and sufficient criterion to judge these two envelopes and correspondingly get more general new structures of 2D solutions.
基金funded by the National Natural Science Foundation of China(21904139)。
文摘Background:Tumor cell heterogeneity mediated drug resistance has been recognized as the stumbling block of cancer treatment.Elucidating the cytotoxicity of anticancer drugs at single-cell level in a high-throughput way is thus of great value for developing precision therapy.However,current techniques suffer from limitations in dynamically characterizing the responses of thousands of single cells or cell clones presented to multiple drug conditions.Methods:We developed a new microfluidics-based“SMART”platform that is Simple to operate,able to generate a Massive single-cell array and Multiplex drug concentrations,capable of keeping cells Alive,Retainable and Trackable in the microchambers.These features are achieved by integrating a Microfluidic chamber Array(4320 units)and a sixConcentration gradient generator(MAC),which enables highly efficient analysis of leukemia drug effects on single cells and cell clones in a high-throughput way.Results:A simple procedure produces 6 on-chip drug gradients to treat more than 3000 single cells or single-cell derived clones and thus allows an efficient and precise analysis of cell heterogeneity.The statistic results reveal that Imatinib(Ima)and Resveratrol(Res)combination treatment on single cells or clones is much more efficient than Ima or Res single drug treatment,indicated by the markedly reduced half maximal inhibitory concentration(IC50).Additionally,single-cell derived clones demonstrate a higher IC_(50) in each drug treatment compared to single cells.Moreover,primary cells isolated from two leukemia patients are also found with apparent heterogeneity upon drug treatment on MAC.Conclusions:This microfluidics-based“SMART”platform allows high-throughput single-cell capture and culture,dynamic drug-gradient treatment and cell response monitoring,which represents a new approach to efficiently investigate anticancer drug effects and should benefit drug discovery for leukemia and other cancers.
基金Project supported by the Special Project for Research and Development in Key Areas of Guangdong Province,China (Grant No.2020B0303300001)the National Natural Science Foundation of China (Grant Nos.U21A20434,12074346,12074390,11835011,11804375,and 11804308)+2 种基金the Fund from the Key Laboratory of Guangzhou for Quantum Precision Measurement (Grant No.202201000010)the Science and Technology Projects in Guangzhou (Grant No.202201011727)the Nansha Senior Leading Talent Team Technology Project (Grant No.2021CXTD02)。
文摘Cold trapped ions can be excellent sensors for ultra-precision detection of physical quantities,which strongly depends on the measurement situation at hand.The stylus ion trap,formed by two concentric cylinders over a ground plane,holds the promise of relatively simple structure and larger solid angle for optical access and fluorescence collection in comparison with the conventional ion traps.Here we report our fabrication and characterization of the first stylus ion trap constructed in China,aiming for studying quantum optics and sensing weak electric fields in the future.We have observed the stable confinement of the ion in the trapping potential for more than two hours and measured the heating rate of the trap to be dε/dt=7.10±0.13 meV/s by the Doppler recooling method.Our work starts a way to building practical quantum sensors with high efficiency of optical collection and with ultimate goal for contributing to future quantum information technology.
基金the National Natural Science Foundation of China, No. 30300093, 30570628, 30770751
文摘Objective To explore the migration of transplanted neural stem cells co-labeled with superparamagnetic iron oxide(SPIO) and bromodeoxyuridine(Brdu) using the 4.7T MR system and to study the cell differentiation with immuno-histochemical method in ischemic rats.Methods Rat neural stem cells(NSCs) co-labelled with SPIO mediated by poly-L-lysine and bromodeoxyuridine(BrdU) were transplanted into the unaffected side of rat brain with middle cerebral artery occlusion(MCAO).At weeks 1,2,3,4,5,and 6 after MCAO,migration of the labelled cells was monitored by MRI.At week 6,the rats were killed and their brain tissue was cut according to the migration site of transplanted cells indicated by MRI and subjected to Prussian blue staining and immunohistochemical staining to observe the migration and differentiation of the transplanted NSCs.Results Three weeks after transplantation,the linear hypointensity area derived from the migration of labelled NSCs was observed by MRI in the corpus callosum adjacent to the injection site.Six weeks after the transplantation,the linear hypointensity area was moved toward the midline along the corpus callosum.MRI findings were confirmed by Prussian blue staining and immunohistochemical staining of the specimen at week 6 after the transplantation.Flourescence co-labelled immunohistochemical methods demonstrated that the transplanted NSCs could differentiate into astrocytes and neurons.Conclusion MRI can monitor the migration of SPIO-labelled NSCs after transplantation in a dynamical and non-invasive manner.NSCs transplanted into ischemic rats can differentiate into astrocytes and neurons during the process of migration.
基金Supported by the National Natural Science Foundation of China under Grant No.19774069and the Natural Science Foundation of Shandong Province of China under Grant No.Y98A03006.
文摘The quantum wavefunctions and the corresponding energy levels of a RLC (Resistance-Inductance-Capacity) electric circuit are obtained by using canonical quantization method and unitary transformation from the classical equation of motion. The quantum fluctuations of charge and current in an arbitrary eigenstate of the system have also been given as wellas the uncertainty relation. It is showed that even if at 0 K charge and current in the circuit exhibit quantum fluctuations, which originates from fluctuations of zero point vibrations of the system.
基金Supported in part by the National Natural Science Foundation of China(11271359)the Fundamental Research Funds for the Central Universities(2014-Ia-037and 2015-IVA-069)
文摘This paper is devoted to characterizing the Riemann-Stieltjes operators and pointwise multipliers on F(p,q,s) spaces in the unit ball of C^n,which contain many classical function spaces,such as the Bloch space,BMOA and Q_s spaces.The boundedness and compactness of these operators on F(p,q,s) spaces are characterized by means of an embedding theorem,i.e.,F(p,q,s) spaces boundedly embedded into the tent-type spaces T_(p,s)~∞(μ).
基金The project supported by National Natural Science Foundation of China under Grant No. 10304022, the Science-Technology Fund of Anhui Province for 0utstanding Youth under Grant No. 06042087, the Key Fund of the Ministry of Education of China under Grant No. 206063, Natural Science Foundation of Hubei Province of China under Grant No, 2006ABA354
基金Supported by the National Natural Science Foundation of China(11171340)
文摘In this work, we obtain the global existence and uniqueness of classical solutions to a viscous liquid-gas two-phase model with mass-dependent viscosity and vacuum in one dimension, where the initial vacuum is allowed. We get the upper and lower bounds of gas and liquid masses n and m by the continuity methods which we use to study the compressible Navier-Stokes equations.
基金Supported by the National Natural Science Foundation of China
文摘Recently, a configuration using atomic interferometers(AIs) had been suggested for the detection of gravitational waves. A new AI with some additional laser pulses for implementing large momentum transfer was also put forward, in order to reduce the effect of shot noise and laser frequency noise. We use a sensitivity function to analyze all possible configurations of the new AI and to distinguish how many momenta are transferred in a specific configuration. By analyzing the new configuration,we further explore a detection scheme for gravitational waves, in particular, that ameliorates laser frequency noise. We find that the amelioration occurs in such a scheme,but novelly, in some cases, the frequency noise can be canceled completely by using a proper data processing method.
基金supported by the National Natural Science Foundation of China(Grant Nos.11364025 and 11164014)the Gansu Science and Technology PillarProgram,China(Grant No.1204GKCA057)
文摘Using first-principles calculations within density functional theory, we study the atomic structures and electronic properties of the perfect and defective(2VCu+ InCu) CuInGaSe2/CdS interfaces theoretically, especially the interface states.We find that the local lattice structure of(2VCu+ InCu) interface is somewhat disorganized. By analyzing the local density of states projected on several atomic layers of the two interfaces models, we find that for the(2VCu+ InCu) interface the interface states near the Fermi level in CuInGaSe2and CdS band gap regions are mainly composed of interfacial Se-4p,Cu-3d and S-3p orbitals, while for the perfect interface there are no clear interface states in the CuInGaSe2region but only some interface states which are mainly composed of S-3p orbitals in the valance band of CdS region.
基金This work is supported by NNSF of China, Grant (720271076,70571079)
文摘A generalized Bak-Sneppen model (BS model) of biological evolution with interaction strength θ is introduced in d-dimensional space, where the 'nearest neighbors' are chosen among the 2d neighbors of the extremal site, with the probabilities related to the sizes of the fitnesses. Simulations of one- and two-dimensional models are given. For given θ > 0, the model can self-organize to a critical state, and the critical threshold fc(θ) decreases as θ increases. The exact gap equation depending on θ is presented, which reduces to the gap equation of BS model as θ tends to infinity. An exact equation for the critical exponent γ(θ) is also obtained. Scaling relations are established among the six critical exponents of the avalanches of the model.
基金Project supported by the National Natural Science Foundation of China （Grant Nos 10304020 and 10474117）, the State Key Development Program for Basic Research of China （Grant No 2001CB309309）, and also in part by the Sunshine Project of Wuhan, China.
基金funding in support of his work leading to these results from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme FP7/2007-2013/ (PEOPLE-2013-ITN) under REA grant agreement n [606176]
文摘The success of LISA Pathfinder in demonstrating the LISA drag-free requirement paved the way for using space interferometers to detect low-frequency and middle-frequency gravitational waves(GWs). The TAIJI GW mission and the new LISA GW mission propose using an arm length of 3 Gm(1 Gm = 10~6 km) and an arm length of 2.5 Gm respectively. For a space laser-interferometric GW antenna,due to astrodynamical orbit variation, time delay interferometry(TDI) is needed to achieve nearly equivalent equal-arms for suppressing the laser frequency noise below the level of optical path noise, acceleration noise, etc in order to attain the requisite sensitivity. In this paper, we simulate TDI numerically for the TAIJI mission and the new LISA mission. To do this, we work out a set of 2200-day(6-year) optimized science orbits for each mission starting on 2028 March 22 using the CGC 2.7.1 ephemeris framework. Then we use the numerical method to calculate the residual optical path differences of the first-generation TDI configurations and the selected second-generation TDI configurations. The resulting optical path differences of the second-generation TDI configurations calculated for TAIJI, new LISA and eLISA are well below their respective requirements for laser frequency noise cancelation. However, for the first-generation TDI configurations, the original requirements need to be relaxed by 3 to 30 fold to be satisfied. For TAIJI and the new LISA, about one order of magnitude relaxation would be good and recommended; this could be borne on the laser stability requirement in view of recent progress in laser stability, or the GW detection sensitivities of the second-generation TDIs have to be used in the diagnosis of the observed data instead of the commonly used X, Y and Z TDIs.
基金supported by NSFC(11471331,11101418 and 11271360)
文摘We study the existence and stability of the standing waves of two coupled Schrdinger equations with potentials |x|bi(bi ∈ R, i = 1, 2). Under suitable conditions on the growth of the nonlinear terms, we first establish the existence of standing waves of the Schrdinger system by solving a L2-normalized minimization problem, then prove that the set of all minimizers of this minimization problem is stable. Finally, we obtain the least energy solutions by the Nehari method and prove that the orbit sets of these least energy solutions are unstable, which generalizes the results of [11] where b1= b2= 2.
基金supported by National Natural Science Foundation of China (Grant Nos 10574141 and 10675162)
文摘This paper studies a miniature low power consumption laser-pumped atom vapour cell clock scheme.Pumping 87Rb with a vertical cavity surface emitting laser diode pump and locking the laser frequency on a Doppler-broadened spectral line,it records a 5×10 11τ 1/2(τ< 500 s) frequency stability with a table-top system in a primary experiment.The study reveals that the evaluated scheme is at the level of 2.7 watts power consumption,90 cm3 volume and 10 12τ 1/2 short-term frequency stability.
基金supported by the National Basic Research Program of China(Grant No.2012CB922101)the National Natural Science Foundation of China(Grant Nos.11374331 and 11304357)
文摘This article presents an elementary introduction on various aspects of the prototypical integrable model the Lieb–iniger Bose gas ranging from the cooperative to the collective features of many-body phenomena. In 1963, Lieb and iniger first solved this quantum field theory many-body problem using Bethe's hypothesis, i.e., a particular form of waveunction introduced by Bethe in solving the one-dimensional Heisenberg model in 1931. Despite the Lieb–Liniger model is rguably the simplest exactly solvable model, it exhibits rich quantum many-body physics in terms of the aspects of mathmatical integrability and physical universality. Moreover, the Yang–Yang grand canonical ensemble description for the odel provides us with a deep understanding of quantum statistics, thermodynamics, and quantum critical phenomena at he many-body physical level. Recently, such fundamental physics of this exactly solved model has been attracting growing nterest in experiments. Since 2004, there have been more than 20 experimental papers that reported novel observations of ifferent physical aspects of the Lieb–Liniger model in the laboratory. So far the observed results are in excellent agreement ith results obtained using the analysis of this simplest exactly solved model. Those experimental observations reveal the nique beauty of integrability.
