<正> For Bose-Einstein condensation of neutral atoms in anisotropic traps at zero temperature,we presentsimple analytical methods for computing the properties of ground state and single vortex of Bose-Einstein c...<正> For Bose-Einstein condensation of neutral atoms in anisotropic traps at zero temperature,we presentsimple analytical methods for computing the properties of ground state and single vortex of Bose-Einstein condensates,and compare those results to extensive numerical simulations.The critical angular velocity for production of vortices iscalculated for both positive and negative scattering lengths a,and find an analytical expression for the large-N limit ofthe vortex critical angular velocity for a>0,and the critical number for condensate population approaches the point ofcollapse for a<0,by using approximate variational method.展开更多
For a Bose-condensed gas in a combined potential consisting of an axially-symmetric harmonic magnetic trap and one-dimensional （1D） optical lattice, using the mean-field Gross-Pitaevskii （G-P） equation and the pro...For a Bose-condensed gas in a combined potential consisting of an axially-symmetric harmonic magnetic trap and one-dimensional （1D） optical lattice, using the mean-field Gross-Pitaevskii （G-P） equation and the propagator method, we obtain the analytical result of the order parameter for matter wave interference at any time. The evolution of the interference pattern under a variation of the relative phase △Ф between successive subcondensates trapped on an optical lattices is also studied. For △Ф=π, the interference pattern is symmetric with two sharp peaks, which are symmetrically located on a straight line on both sides of a vacant central peak and moving apart from each other. This work is in agreement with available experimental results.展开更多
Based on the energy functional and variational method, we present a new method to investigate the ground state properties for a weakly interacting Bose-condensed gas in an anisotropic harmonic trap at zero temperature...Based on the energy functional and variational method, we present a new method to investigate the ground state properties for a weakly interacting Bose-condensed gas in an anisotropic harmonic trap at zero temperature. With this method we are able to find the analytic expression of the ground-state wavefunction and to explore the relevant quantities, such as energy, chemical potential, and the aspect ratio of the velocity distribution. These results agree well with previous ground state numerical solutions of the Gross-Pitaevskii equation given by Dalfovo et al. [Phys. Rev. A 53 （1996） 2477] This new method is simple compared to other methods used to solve numerically the Gross-Pitaevskii equation, and one can obtain analytic and reliable results.展开更多
In the past two decades,as the eyes of fundamental scientific research and social activities relative to human security and health,analytical chemistry has made great progress in both analytical methodologies and dete...In the past two decades,as the eyes of fundamental scientific research and social activities relative to human security and health,analytical chemistry has made great progress in both analytical methodologies and detection instruments by integrating multidisciplinary research achievements.Four State Key Laboratories were successively established in this rapidly developing discipline.In order to publish some of the excellent results together,we have organized this special topic with 10 Articles and Reviews from these State Key Laboratories.展开更多
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The project supported by the State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics Foundation under Grant No. T152501 and the Foundation of Education Commission of Zhejiang Province of China under Grant No. 20040599
文摘<正> For Bose-Einstein condensation of neutral atoms in anisotropic traps at zero temperature,we presentsimple analytical methods for computing the properties of ground state and single vortex of Bose-Einstein condensates,and compare those results to extensive numerical simulations.The critical angular velocity for production of vortices iscalculated for both positive and negative scattering lengths a,and find an analytical expression for the large-N limit ofthe vortex critical angular velocity for a>0,and the critical number for condensate population approaches the point ofcollapse for a<0,by using approximate variational method.
基金＊The project supported by National Natural Science Foundation of China under Grant Nos. 10304022 and 60677001, the Science and Technology Fand of Anhui Province for 0utstanding Youth under Grant No. 06042087, the General Fund of the Educational Committee of Anhui Province under Grant No. 2006KJ260B, the Key Fund of the Ministry of Education of China under Grant No. 206063, the Natural Science Foundation of Hubei Province of China under Grant No. 2006ABA354, and the Foundation of the State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics of CAS under Grant No. T152615
基金Supported by the 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 General Fund of the Educational Committee of Anhui Province under Grant No 2006KJ260B, the Key Fund of the Ministry of Education of China under Grant No 206063, the Natural Science Foundation of Hubei Province under Grant No 2006ABA354, and the Foundation of the State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics of Chinese Academy of Sciences under Grant No T152615.
文摘For a Bose-condensed gas in a combined potential consisting of an axially-symmetric harmonic magnetic trap and one-dimensional （1D） optical lattice, using the mean-field Gross-Pitaevskii （G-P） equation and the propagator method, we obtain the analytical result of the order parameter for matter wave interference at any time. The evolution of the interference pattern under a variation of the relative phase △Ф between successive subcondensates trapped on an optical lattices is also studied. For △Ф=π, the interference pattern is symmetric with two sharp peaks, which are symmetrically located on a straight line on both sides of a vacant central peak and moving apart from each other. This work is in agreement with available experimental results.
基金Supported by the 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 General Fund of the Educational committee of Anhui Province under Grant No. 2006KJ260B, and the Key Fund of the Ministry of Education of China under Grant No 206063. To whom correspondence should be addressed.
文摘Based on the energy functional and variational method, we present a new method to investigate the ground state properties for a weakly interacting Bose-condensed gas in an anisotropic harmonic trap at zero temperature. With this method we are able to find the analytic expression of the ground-state wavefunction and to explore the relevant quantities, such as energy, chemical potential, and the aspect ratio of the velocity distribution. These results agree well with previous ground state numerical solutions of the Gross-Pitaevskii equation given by Dalfovo et al. [Phys. Rev. A 53 （1996） 2477] This new method is simple compared to other methods used to solve numerically the Gross-Pitaevskii equation, and one can obtain analytic and reliable results.
文摘In the past two decades,as the eyes of fundamental scientific research and social activities relative to human security and health,analytical chemistry has made great progress in both analytical methodologies and detection instruments by integrating multidisciplinary research achievements.Four State Key Laboratories were successively established in this rapidly developing discipline.In order to publish some of the excellent results together,we have organized this special topic with 10 Articles and Reviews from these State Key Laboratories.
