Vortex solitons with a ring vortex core residing in a single lattice site in the semi-infinite gap of square optical lattices are reported. These solitons are no longer bound states of the Bloch-wave unit （Bloch-wave...Vortex solitons with a ring vortex core residing in a single lattice site in the semi-infinite gap of square optical lattices are reported. These solitons are no longer bound states of the Bloch-wave unit （Bloch-wave distribution in one lattice site） at the band edge of the periodic lattice, and consequently they do not bifurcate from the corresponding band edge. For saturable nonlinearity, one family of such solitons is found, and its existing curve forms a closed loop, which is very surprising. For Kerr nonlinearity, two families of such vortex solitons are found.展开更多
We predict three-dimensional vortex solitons in a Bose-Einstein condensate under a complex potential,which is the combination of a two-dimensional parabolic trap along the transverse radial direction and a one-dimensi...We predict three-dimensional vortex solitons in a Bose-Einstein condensate under a complex potential,which is the combination of a two-dimensional parabolic trap along the transverse radial direction and a one-dimensional optical-lattice potential along the z axis direction.The vortex solitons are built in the form of a layer-chain structure made of several fundamental vortices along the optical-lattice direction.This has not been reported before in the three-dimensional Bose-Einstein condensate.By using a combination of the energy density functional method with direct numerical simulation,we find three-dimensional vortex solitons with topological charges χ=1,χ=2,and χ=3.Moreover,the macroscopic quantum tunneling and chirp phenomena of the vortex solitons are shown in the evolution.Therein,the occurrence of macroscopic quantum tunneling provides the possibility for the experimental realization of quantum tunneling.Specifically,we successfully manipulate the vortex solitons along the optical lattice direction.The stability limits for dragging the vortex solitons from an initial fixed position to a prescribed location are further pursued.展开更多
We have developed an energy balance equation for the universe. The two system parameters involved in the equation could be “fine-tuned” so that the predicted temperature histories all lead to what is observed in the...We have developed an energy balance equation for the universe. The two system parameters involved in the equation could be “fine-tuned” so that the predicted temperature histories all lead to what is observed in the present cosmic microwave background. We have shown that various combinations of these two parameters are possible;in particular, the present background temperature needs not be the remnant of a very hot temperature in the far distance past. We also solved for the propagation of vortex solitons in optical fibres as contrasting examples to show how electromagnetic wave could be transmitted in a particular waveform under strictly controlled conditions. To avoid singularity, all vortexes have a black centre. We conclude that while numerical techniques can be used to account for an infinite quantity, it is unlikely that such a quantity could exist in reality.展开更多
We investigate the properties of Bose-Einstein condensates(BECs)in a two-dimensional quasi-periodic optical lattice(OL)with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation.In a stati...We investigate the properties of Bose-Einstein condensates(BECs)in a two-dimensional quasi-periodic optical lattice(OL)with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation.In a stationary external harmonic trapping potential,we first analyze the evolution of matter-wave interference pattern from periodic to quasiperiodic as the OL is changed continuously from four-fold periodic to eight-fold quasi-periodic.We also investigate the transport properties during this evolution for different interatomic interaction and lattice depth,and find that the BEC crosses over from ballistic diffusion to localization.Finally,we focus on the case of eightfold symmetric lattice and consider a global rotation imposed by the external trapping potential.The BEC shows vortex pattern with eightfold symmetry for slow rotation,becomes unstable for intermediate rotation,and exhibits annular solitons with approximate axial symmetry for fast rotation.These results can be readily demonstrated in experiments using the same configuration as in Phys.Rev.Lett.122110404(2019).展开更多
基金Project supported by the National Natural Science Foundation of China (Grant No. 10904009)the Fundamental Research Funds for the Central Universities(Grant Nos. ZYGX2011J039 and ZYGX2011J047)
文摘Vortex solitons with a ring vortex core residing in a single lattice site in the semi-infinite gap of square optical lattices are reported. These solitons are no longer bound states of the Bloch-wave unit （Bloch-wave distribution in one lattice site） at the band edge of the periodic lattice, and consequently they do not bifurcate from the corresponding band edge. For saturable nonlinearity, one family of such solitons is found, and its existing curve forms a closed loop, which is very surprising. For Kerr nonlinearity, two families of such vortex solitons are found.
基金Project supported by the National Natural Science Foundation of China (Grant Nos. 10672147 and 11072219)the Natural Science Foundation of Zhejiang Province,China (Grant No. Y1080959)
文摘We predict three-dimensional vortex solitons in a Bose-Einstein condensate under a complex potential,which is the combination of a two-dimensional parabolic trap along the transverse radial direction and a one-dimensional optical-lattice potential along the z axis direction.The vortex solitons are built in the form of a layer-chain structure made of several fundamental vortices along the optical-lattice direction.This has not been reported before in the three-dimensional Bose-Einstein condensate.By using a combination of the energy density functional method with direct numerical simulation,we find three-dimensional vortex solitons with topological charges χ=1,χ=2,and χ=3.Moreover,the macroscopic quantum tunneling and chirp phenomena of the vortex solitons are shown in the evolution.Therein,the occurrence of macroscopic quantum tunneling provides the possibility for the experimental realization of quantum tunneling.Specifically,we successfully manipulate the vortex solitons along the optical lattice direction.The stability limits for dragging the vortex solitons from an initial fixed position to a prescribed location are further pursued.
文摘We have developed an energy balance equation for the universe. The two system parameters involved in the equation could be “fine-tuned” so that the predicted temperature histories all lead to what is observed in the present cosmic microwave background. We have shown that various combinations of these two parameters are possible;in particular, the present background temperature needs not be the remnant of a very hot temperature in the far distance past. We also solved for the propagation of vortex solitons in optical fibres as contrasting examples to show how electromagnetic wave could be transmitted in a particular waveform under strictly controlled conditions. To avoid singularity, all vortexes have a black centre. We conclude that while numerical techniques can be used to account for an infinite quantity, it is unlikely that such a quantity could exist in reality.
基金Project supported by the National Natural Science Foundation of China(Grant Nos.11434011,11522436,and 11774425)the National Key R&D Program of China(Grants No.2018YFA0306501)+1 种基金the Beijing Natural Science Foundation,China(Grant No.Z180013)the Research Funds of Renmin University of China(Grants Nos.16XNLQ03 and 18XNLQ15).
文摘We investigate the properties of Bose-Einstein condensates(BECs)in a two-dimensional quasi-periodic optical lattice(OL)with eightfold rotational symmetry by numerically solving the Gross-Pitaevskii equation.In a stationary external harmonic trapping potential,we first analyze the evolution of matter-wave interference pattern from periodic to quasiperiodic as the OL is changed continuously from four-fold periodic to eight-fold quasi-periodic.We also investigate the transport properties during this evolution for different interatomic interaction and lattice depth,and find that the BEC crosses over from ballistic diffusion to localization.Finally,we focus on the case of eightfold symmetric lattice and consider a global rotation imposed by the external trapping potential.The BEC shows vortex pattern with eightfold symmetry for slow rotation,becomes unstable for intermediate rotation,and exhibits annular solitons with approximate axial symmetry for fast rotation.These results can be readily demonstrated in experiments using the same configuration as in Phys.Rev.Lett.122110404(2019).
