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Quantum estimation of rotational speed in optomechanics
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作者 李浩 程泂 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第10期377-382,共6页
We study the quantum Fisher information(QFI)of the angular velocity of rotation in an optomechanical system.Based on the Gaussian measurements method,we derive the explicit form of a single-mode Gaussian QFI,which is ... We study the quantum Fisher information(QFI)of the angular velocity of rotation in an optomechanical system.Based on the Gaussian measurements method,we derive the explicit form of a single-mode Gaussian QFI,which is valid for arbitrary angular velocity of rotation.The information about the angular velocity to be measured is contained in the optical covariance matrix,which can be experimentally determined via homodyne measurement.We find that QFI increases rapidly when driving the system close to the unstable boundary.This result can be attributed to the strong nonlinearity of the system at the unstable boundary.Our results indicate the possibility of using an optomechanical system for high precision detection of the angular velocity of rotation. 展开更多
关键词 optomechanical system Fisher information
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Microscale Crystalline Rare-Earth Doped Resonators for Strain-Coupled Optomechanics
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作者 Jean-François Motte Nicolas Galland +7 位作者 Jérôme Debray Alban Ferrier Philippe Goldner Nemenja Lucic Shuo Zhang Bess Fang Yann Le Coq Signe Seidelin 《Journal of Modern Physics》 2019年第11期1342-1352,共11页
Rare-earth ion doped crystals for hybrid quantum technologies are an area of growing interest in the solid-state physics community. We have earlier theoretically proposed a hybrid scheme of a mechanical resonator whic... Rare-earth ion doped crystals for hybrid quantum technologies are an area of growing interest in the solid-state physics community. We have earlier theoretically proposed a hybrid scheme of a mechanical resonator which is fabricated out of a rare-earth doped mono-crystalline structure. The rare-earth ion dopants have absorption energies which are sensitive to crystal strain, and it is thus possible to couple the ions to the bending motion of the crystal cantilever. This type of resonator can be useful for either investigating the laws of quantum physics with material objects or for applications such as sensitive force-sensors. Here, we present the design and fabrication method based on focused-ion-beam etching techniques which we have successfully employed in order to create such microscale resonators, as well as the design of the environment which will allow studying the quantum behavior of the resonators. 展开更多
关键词 Rare-Earth Doped Crystals Mechanical Resonators optomechanics Quantum Physics Strain-Coupling Spectral Hole Burning Focused-Ion-Beam Etching Techniques
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Cavity optomechanics: Manipulating photons and phonons towards the single-photon strong coupling 被引量:2
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作者 刘玉龙 王冲 +1 位作者 张靖 刘玉玺 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第2期166-183,共18页
Cavity optomechanical systems provide powerful platforms to manipulate photons and phonons, open potential ap- plications for modern optical communications and precise measurements. With the refrigeration and ground-s... Cavity optomechanical systems provide powerful platforms to manipulate photons and phonons, open potential ap- plications for modern optical communications and precise measurements. With the refrigeration and ground-state cooling technologies, studies of cavity optomechanics are making significant progress towards the quantum regime including non- classical state preparation, quantum state tomography, quantum information processing, and future quantum internet. With further research, it is found that abundant physical phenomena and important applications in both classical and quan- tum regimes appeal as they have a strong optomechanical nonlinearity, which essentially depends on the single-photon optomechanical coupling strength. Thus, engineering the optomechanical interactions and improving the single-photon optomechanical coupling strength become very important subjects. In this article, we first review several mechanisms, theoretically proposed for enhancing optomechanical coupling. Then, we review the experimental progresses on enhancing optomechanical coupling by optimizing its structure and fabrication process. Finally, we review how to use novel structures and materials to enhance the optomechanical coupling strength. The manipulations of the photons and phonons at the level of strong optomechanical coupling are also summarized. 展开更多
关键词 optomechanical systems single-photon strong coupling controllable photons and phonons trans-port
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Perfect optomechanically induced transparency in two-cavity optomechanics
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作者 Lai-Bin Qian Xiao-Bo Yan 《Frontiers of physics》 SCIE CSCD 2023年第5期245-253,共9页
Here,we study the controllable optical responses in a two-cavity optomechanical system,especially on the perfect optomechanically induced transparency(OMIT)in the model which has never been studied before.The results ... Here,we study the controllable optical responses in a two-cavity optomechanical system,especially on the perfect optomechanically induced transparency(OMIT)in the model which has never been studied before.The results show that the perfect OMIT can still occur even with a large mechanical damping rate,and at the perfect transparency window the long-lived slow light can be achieved.In addition,we find that the conversion between the perfect OMIT and optomechanically induced absorption can be easily achieved just by adjusting the driving field strength of the second cavity.We believe that the results can be used to control optical transmission in modern optical networks. 展开更多
关键词 perfect optomechanically induced transparency slow light optomechanically induced absorption cavity optomechanics
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Nonequilibrium thermodynamics in cavity optomechanics
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作者 Jiteng Sheng Cheng Yang Haibin Wu 《Fundamental Research》 CAS CSCD 2023年第1期75-86,共12页
Classical thermodynamics has been a great achievement in dealing with systems that are in equilibrium or near equilibrium.As an emerging field,nonequilibrium thermodynamics provides a general framework for understandi... Classical thermodynamics has been a great achievement in dealing with systems that are in equilibrium or near equilibrium.As an emerging field,nonequilibrium thermodynamics provides a general framework for understanding the nonequilibrium processes,particularly in small systems that are typically far-from-equilibrium and are dominated by thermal or quantum fluctuations.Cavity optomechanical systems hold great promise among the various experimental platforms for studying nonequilibrium thermodynamics owing to their high controllability,excellent mechanical performance,and ability to operate deep in the quantum regime.Here,we present an overview of the recent advances in nonequilibrium thermodynamics with cavity optomechanical systems.The experimental results in entropy production assessment,fluctuation theorems,heat transfer,and heat engines are highlighted. 展开更多
关键词 Cavity optomechanics Nonequilibrium thermodynamics Stochastic thermodynamics Quantum thermodynamics Entropy production Fluctuation theorems Heat transport Heat engine
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Levitated optomechanics:From single to many-body physics
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作者 Zhang-qi Yin 《Fundamental Research》 CAS CSCD 2023年第1期90-92,共3页
The levitated optomechanics,because of its ultra-high mechanical Q>1010,is considered to be one of the best testbeds for macroscopic quantum superpostions.In this perspective,we give a brief review on the developme... The levitated optomechanics,because of its ultra-high mechanical Q>1010,is considered to be one of the best testbeds for macroscopic quantum superpostions.In this perspective,we give a brief review on the development of the levitated optomechanics,focusing on the macroscopic quantum phenomena,and the applications in quantum precision measurement.The levitated nanodiamond with built-in nitrogen-vacancy centers is discussed as an example.Finally,we discuss the future dirctions of the levtated optomechanics,such as the space-based experiments,the arrays of levitated optomechanics and applications in quantum simulation. 展开更多
关键词 Levitated optomechanics Quantum precision measurement Optical tweezers Macroscopic quantum superpositions Quantum simulation
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Parity-dependent unidirectional and chiral photon transfer in reversed-dissipation cavity optomechanics
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作者 Zhen Chen Qichun Liu +4 位作者 Jingwei Zhou Peng Zhao Haifeng Yu Tiefu Li Yulong Liu 《Fundamental Research》 CAS CSCD 2023年第1期21-29,共9页
Nonreciprocal elements,such as isolators and circulators,play an important role in classical and quantum information processing.Recently,strong nonreciprocal effects have been experimentally demonstrated in cavity opt... Nonreciprocal elements,such as isolators and circulators,play an important role in classical and quantum information processing.Recently,strong nonreciprocal effects have been experimentally demonstrated in cavity optomechanical systems.In these approaches,the bandwidth of the nonreciprocal photon transmission is limited by the mechanical resonator linewidth,which is arguably much smaller than the linewidths of the cavity modes in most electromechanical or optomechanical devices.In this work,we demonstrate broadband nonreciprocal photon transmission in the reversed-dissipation regime,where the mechanical mode with a large decay rate can be adiabatically eliminated while mediating anti-PT-symmetric dissipative coupling with two kinds of phase factors.Adjusting the relative phases allows the observation of periodic Riemann-sheet structures with distributed exceptional points(Eps).At the Eps,destructive quantum interference breaks both theT-andP-inversion symmetry,resulting in unidirectional and chiral photon transmissions.In the reversed-dissipation regime,the nonreciprocal bandwidth is no longer limited by the mechanical mode linewidth but is improved to the linewidth of the cavity resonance.Furthermore,we find that the direction of the unidirectional and chiral energy transfer could be reversed by changing the parity of the Eps.Extending non-Hermitian couplings to a three-cavity model,the broken anti-PT-symmetry allows us to observe high-order Eps,at which a parity-dependent chiral circulator is demonstrated.The driving-phase controlled periodical Riemann sheets allow observation of the parity-dependent unidirectional and chiral energy transfer and thus provide a useful cell for building up nonreciprocal array and realizing topological,e.g.,isolators,circulators,or amplifiers. 展开更多
关键词 Dissipation-reversed cavity optomechanics Nonreciprocal photon transfer Odd-even exceptional points Anti-PT symmetry Chiral circulators
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Dynamical approach to quantum optomechanics:Motivation,method,and applications 被引量:1
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作者 Bing He Qing Lin 《Fundamental Research》 CAS CSCD 2023年第1期87-89,共3页
We present an overall summary on a method to deal with quantum dynamics of optomechanical systems.The method is based on the dynamical evolution processes instead of the finally evolved steady states,which are a prere... We present an overall summary on a method to deal with quantum dynamics of optomechanical systems.The method is based on the dynamical evolution processes instead of the finally evolved steady states,which are a prerequisite to the standard approach,and well captures the features in optomechanical cooling,entanglement and other scenarios. 展开更多
关键词 Cavity optomechanical systems Dynamical evolution Thermal state Optomechanical cooling ENTANGLEMENT
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Quantum correlations and entanglement in coupled optomechanical resonators with photon hopping via Gaussian interferometric power analysis
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作者 Y.Lahlou B.Maroufi M.Daoud 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第5期204-211,共8页
Quantum correlations that surpass entanglement are of great importance in the realms of quantum information processing and quantum computation.Essentially,for quantum systems prepared in pure states,it is difficult to... Quantum correlations that surpass entanglement are of great importance in the realms of quantum information processing and quantum computation.Essentially,for quantum systems prepared in pure states,it is difficult to differentiate between quantum entanglement and quantum correlation.Nonetheless,this indistinguishability is no longer holds for mixed states.To contribute to a better understanding of this differentiation,we have explored a simple model for both generating and measuring these quantum correlations.Our study concerns two macroscopic mechanical resonators placed in separate Fabry–Pérot cavities,coupled through the photon hopping process.this system offers a comprehensively way to investigate and quantify quantum correlations beyond entanglement between these mechanical modes.The key ingredient in analyzing quantum correlation in this system is the global covariance matrix.It forms the basis for computing two essential metrics:the logarithmic negativity(E_(N)^(m))and the Gaussian interferometric power(P_(G)^(m)).These metrics provide the tools to measure the degree of quantum entanglement and quantum correlations,respectively.Our study reveals that the Gaussian interferometric power(P_(G)^(m))proves to be a more suitable metric for characterizing quantum correlations among the mechanical modes in an optomechanical quantum system,particularly in scenarios featuring resilient photon hopping. 展开更多
关键词 quantum correlations ENTANGLEMENT Gaussian interferometric power logarithmic negativity optomechanics photon hopping
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Imaging a force field via an optically levitated nanoparticle array
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作者 Bihu Lv Jiandong Zhang Chuang Li 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第9期179-184,共6页
Levitated optomechanical systems represent an excellent candidate platform for force and acceleration sensing.We propose a force-sensing protocol utilizing an optically levitated nanoparticle array.In our scheme,N nan... Levitated optomechanical systems represent an excellent candidate platform for force and acceleration sensing.We propose a force-sensing protocol utilizing an optically levitated nanoparticle array.In our scheme,N nanoparticles are trapped in an optical cavity using holographic optical tweezers.An external laser drives the cavity,exciting N cavity modes interacting simultaneously with the N nanoparticles.The optomechanical interaction encodes the information of the force acting on each nanoparticle onto the intracavity photons,which can be detected directly at the output ports of the cavity.Consequently,our protocol enables real-time imaging of a force field. 展开更多
关键词 optomechanics levitated nanoparticles force field detection
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Review of cavity optomechanics in the weak-coupling regime: from linearization to intrinsic nonlinear interactions 被引量:6
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作者 XIONG Hao SI LiuGang +2 位作者 LV XinYou YANG XiaoXue WU Ying 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2015年第5期16-28,共13页
Recently, cavity optomechanics has become a rapidly developing research field exploring the coupling between the optical field and mechanical oscillation. Cavity optomechanical systems were predicted to exhibit rich a... Recently, cavity optomechanics has become a rapidly developing research field exploring the coupling between the optical field and mechanical oscillation. Cavity optomechanical systems were predicted to exhibit rich and nontrivial effects due to the nonlinear optomechanical interaction. However, most progress during the past years have focused on the linearization of the optomechanical interaction, which ignored the intrinsic nonlinear nature of the optomechanical coupling. Exploring nonlinear optomechanical interaction is of growing interest in both classical and quantum mechanisms, and nonlinear optomechanical interaction has emerged as an important new frontier in cavity optomechanics. It enables many applications ranging from single-photon sources to generation of nonclassical states. Here, we give a brief review of these developments and discuss some of the current challenges in this field. 展开更多
关键词 cavity optomechanics nonlinear interactions weak-coupling regime radiation pressure
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Weak-force sensing with squeezed optomechanics 被引量:6
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作者 Wen Zhao Sheng-Dian Zhang +1 位作者 Adam Miranowicz Hui Jing 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2020年第2期71-81,共11页
We investigate quantum-squeezing-enhanced weak-force sensing via a nonlinear optomechanical resonator containing a movable mechanical mirror and an optical parametric amplifier(OPA). Herein, we determined that tuning ... We investigate quantum-squeezing-enhanced weak-force sensing via a nonlinear optomechanical resonator containing a movable mechanical mirror and an optical parametric amplifier(OPA). Herein, we determined that tuning the OPA parameters can considerably suppress quantum noise and substantially enhance force sensitivity, enabling the device to extensively surpass the standard quantum limit. This indicates that under realistic experimental conditions, we can achieve ultrahigh-precision quantum force sensing by harnessing nonlinear optomechanical devices. 展开更多
关键词 weak-force sensing SQUEEZING optomechanics
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Measuring orbital angular momentum of vortex beams in optomechanics 被引量:4
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作者 Zhucheng Zhang Jiancheng Pei +1 位作者 Yi-Ping Wang Xiaoguang Wang 《Frontiers of physics》 SCIE CSCD 2021年第3期177-183,共7页
Measuring the orbital angular momentum(OAM)of vortex beams,including the magnitude and the sign,has great application prospects due to its theoretically unbounded and orthogonal modes.Here,the sign-distinguishable OAM... Measuring the orbital angular momentum(OAM)of vortex beams,including the magnitude and the sign,has great application prospects due to its theoretically unbounded and orthogonal modes.Here,the sign-distinguishable OAM measurement in optomechanics is proposed,which is achieved by monitoring the shift of the transmission spectrum of the probe field in a double Laguerre-Gaussian(LG)rotational-cavity system.Compared with the traditional single LG rotational cavity,an asymmetric optomechanically induced transparency window can occur in our system.Meanwhile,the position of the resonance valley has a strong correlation with the magnitude and sign of OAM.This originally comes from the fact that the effective detuning of the cavity mode from the driving field can vary with the magnitude and sign of OAM,which causes the spectral shift to be directional for different signs of OAM.Our scheme solves the shortcoming of the inability to distinguish the sign of OAM in optomechanics,and works well for high-order vortex beams with topological charge value±45,which is a significant improvement for measuring OAM based on the cavity optomechanical system. 展开更多
关键词 orbital angular momentum optomechanically induced transparency Laguerre-Gaussian rotational-cavity system optomechanics
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Cavity optomechanics with cold atomic gas 被引量:5
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作者 Ke-ye ZHANG Lu ZHOU Guang-jiong DONG Wei-ping ZHANG 《Frontiers of physics》 SCIE CSCD 2011年第3期237-250,共14页
We present a tutorial review on the topics related to current development in cavity optomechanics, with special emphasis on cavity optomechanical effects with ultracold gases, Bose-Einstein condensates, and spinor Bos... We present a tutorial review on the topics related to current development in cavity optomechanics, with special emphasis on cavity optomechanical effects with ultracold gases, Bose-Einstein condensates, and spinor Bos-Einstein condensates. Topics including the quantum model and nonlinearity of the cavity optomechanics, the principles of optomechanical cooling, radiation-pressure-induced nonlinear states, the chaotic dynamics in a condensate-mirror-hybrid optomechanical setup, and the spin-mixing dynamics controlled by optical cavities are covered. 展开更多
关键词 cavity optomechanics Bose-Einstein condensate spinor Bose-Einstein condensate optical bistability
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Optomechanically induced amplification and perfect transparency in double-cavity optomechanics 被引量:3
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作者 Xiao-Bo Yan W. Z. Jia +1 位作者 Yong Li Jin-Hui Wu 《Frontiers of physics》 SCIE CSCD 2015年第3期113-119,共7页
We study optomechanically induced amplification and perfect transparency in a double-cavity op- tomechanical system. We find that if two control lasers with appropriate amplitudes and detunings are applied to drive th... We study optomechanically induced amplification and perfect transparency in a double-cavity op- tomechanical system. We find that if two control lasers with appropriate amplitudes and detunings are applied to drive the system, optomechanically induced amplification of a probe laser can occur. In addition, perfect optomechanieally induced transparency, which is robust to mechanical dissipation, can be realized by the same type of driving. These results indicate important progress toward signal amplification, light storage, fast light, and slow light in quantum information processes. 展开更多
关键词 optomechanics optomechanically induced amplification optomechanically induced transparency
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Cavity optomechanics on a microfluidic resonator with water and viscous liquids 被引量:3
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作者 Kyu Hyun Kim Gaurav Bahl +4 位作者 Wonsuk Lee Jing Liu Matthew Tomes Xudong Fan Tal Carmon 《Light(Science & Applications)》 SCIE EI CAS 2013年第1期27-31,共5页
Currently,optical or mechanical resonances are commonly used in microfluidic research.However,optomechanical oscillations by light pressure were not shown with liquids.This is because replacing the surrounding air wit... Currently,optical or mechanical resonances are commonly used in microfluidic research.However,optomechanical oscillations by light pressure were not shown with liquids.This is because replacing the surrounding air with water inherently increases the acoustical impedance and hence,the associated acoustical radiation losses.Here,we bridge between microfluidics and optomechanics by fabricating a hollow-bubble resonator with liquid inside and optically exciting vibrations with 100 MHz rates using only mW optical-input power.This constitutes the first time that any microfluidic system is optomechanically actuated.We further prove the feasibility of microfluidic optomechanics on liquids by demonstrating vibrations on organic fluids with viscous dissipation higher than blood viscosity while measuring density changes in the liquid via the vibration frequency shift.Our device will enable using cavity optomechanics for studying non-solid phases of matter,while light is easily coupled from the outer dry side of the capillary and fluid is provided using a standard syringe pump. 展开更多
关键词 nonlinear optics optical materials and devices optomechanics
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Coupled quantum molecular cavity optomechanics with surface plasmon enhancement 被引量:2
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作者 JIAN LIU KA-DI ZHU 《Photonics Research》 SCIE EI 2017年第5期450-456,共7页
Cavity optomechanics is applied to study the coupling behavior of interacting molecules in surface plasmon systems driven by two-color laser beams. Different from the traditional force–distance measurement, due to a ... Cavity optomechanics is applied to study the coupling behavior of interacting molecules in surface plasmon systems driven by two-color laser beams. Different from the traditional force–distance measurement, due to a resonant frequency shift or a peak splitting on the probe spectrum, we have proposed a convenient method to measure the van der Waals force strength and interaction energy via nonlinear spectroscopy. The minimum force value can reach approximately 10^(-15) N, which is 3 to 4 orders of magnitude smaller than the widely applied atomic force microscope(AFM). It is also shown that two adjacent molecules with similar chemical structures and nearly equal vibrational frequencies can be easily distinguished by the splitting of the transparency peak. Based on this coupled optomechanical system, we also conceptually design a tunable optical switch by van der Waals interaction. Our results will provide new approaches for understanding the complex and dynamic interactions inmolecule–plasmon systems. 展开更多
关键词 Coupled quantum molecular cavity optomechanics with surface plasmon enhancement THz
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Nonreciprocal mechanical entanglement in a spinning optomechanical system
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作者 Shan-Shan Chen Jing-Jing Zhang +3 位作者 Jia-Neng Li Na-Na Zhang Yong-Rui Guo Huan Yang 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第11期200-206,共7页
Quantum entanglement between distant massive mechanical oscillators is an important resource in sensitive measurements and quantum information processing.We achieve the nonreciprocal mechanical entanglement in a compo... Quantum entanglement between distant massive mechanical oscillators is an important resource in sensitive measurements and quantum information processing.We achieve the nonreciprocal mechanical entanglement in a compound optomechanical device consisting of two mechanical oscillators and a spinning whispering-gallery mode(WGM)optical microresonator.It is found that obvious nonreciprocal mechanical entanglement emerges in this system in the presence of the Sagnac effect which is induced by the rotation of the WGM resonator,and the nonreciprocal region can be controlled by tuning the angular velocity of the rotation.The nonreciprocity originates from the breaking of the time-reversal symmetry of this multimode system due to the presence of the Sagnac effect.The optomechanical coupling and the mechanical interaction provide cooling channels for the first and second mechanical oscillators,respectively.Two mechanical oscillators can be cooled simultaneously.The simultaneous cooling and the mechanical coupling of two mechanical oscillators ensure the generation of mechanical entanglement.Furthermore,an optimal mechanical entanglement can be achieved when the moderate optical frequency detuning and the driving power are chosen.The thermal noise of the mechanical environment has a negative effect on mechanical entanglement.Our scheme provides promising opportunities for research of quantum information processing based on phonons and sensitive measurements. 展开更多
关键词 optomechanical system quantum entanglement NONRECIPROCITY Sagnac effect
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Nonlinearly induced entanglement in dissipatively coupled optomechanical system
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作者 杨文全 冷轩 +1 位作者 程泂 张闻钊 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第6期255-260,共6页
Nonlinearly induced steady-state photon–phonon entanglement of a dissipative coupled system is studied in the bistable regime. Quantum dynamical characteristics are analysed by solving the mean-field and fluctuation ... Nonlinearly induced steady-state photon–phonon entanglement of a dissipative coupled system is studied in the bistable regime. Quantum dynamical characteristics are analysed by solving the mean-field and fluctuation equations of the system. It is shown that dissipative coupling can induce bistable behaviour for the effective dissipation of the system.Under suitable parameters, one of the steady states significantly reduces the dissipative effect of the system. Consequently,a larger steady-state entanglement can be achieved compared to linear dynamics. Furthermore, the experimental feasibility of the parameters is analysed. Our results provide a new perspective for the implementation of steady-state optomechanical entanglement. 展开更多
关键词 ENTANGLEMENT optomechanical system dissipatively coupling
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Quantum control with Lyapunov function and bang–bang solution in the optomechanics system
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作者 Yu Wang Yi-Hao Kang +3 位作者 Chang-Sheng Hu Bi-Hua Huang Jie Song Yan Xia 《Frontiers of physics》 SCIE CSCD 2022年第3期139-153,共15页
We propose a quantum control scheme with the help of Lyapunov control function in the optomechanics system. The principle of the idea is to design suitable control fields to steer the Lyapunov control function to zero... We propose a quantum control scheme with the help of Lyapunov control function in the optomechanics system. The principle of the idea is to design suitable control fields to steer the Lyapunov control function to zero as t → ∞ while the quantum system is driven to the target state. Such an evolution makes no limit on the initial state and one needs not manipulate the laser pulses during the evolution. To prove the effectiveness of the scheme, we show two useful applications in the optomechanics system: one is the cooling of nanomechanical resonator and the other is the quantum fluctuation transfer between membranes. Numerical simulation demonstrates that the perfect and fast cooling of nanomechanical resonator and quantum fluctuation transfer between membranes can be rapidly achieved. Besides, some optimizations are made on the traditional Lyapunov control waveform and the optimized bang–bang control fields makes Lyapunov function V decrease faster. The optimized quantum control scheme can achieve the same goal with greater efficiency. Hence, we hope that this work may open a new avenue of the experimental realization of cooling mechanical oscillator, quantum fluctuations transfer between membranes and other quantum optomechanics tasks and become an alternative candidate for quantum manipulation of macroscopic mechanical devices in the near future. 展开更多
关键词 bang-bang solution quantum control Lyapunov control optomechanics system
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