For Bose-Einstein condensates trapped in a harmonic potential well, we present numerical results from solving the tlme-dependent nonlinear Schrolinger equation based on the Crank-Nicolson method. With this method we a...For Bose-Einstein condensates trapped in a harmonic potential well, we present numerical results from solving the tlme-dependent nonlinear Schrolinger equation based on the Crank-Nicolson method. With this method we are able to find the ground state wave function and energy by evolving the trial initial wave function in real and imaginary time spaces, respectively. In real time space, the results are in agreement with [Phys. Rev. A 51 （1995） 4704], but the trial wave function is restricted in a very small range. On the contrary, in imaginary time space, the trial wave function can be chosen widely, moreover, the results are stable.展开更多
Tunneling dynamics of multi-atomic molecules between any two multi-atomicmolecular Bose-Einstein condensates with Feshbach resonance is investigated. It is indicated thatthe tunneiing in the two Bose-Einstein condensa...Tunneling dynamics of multi-atomic molecules between any two multi-atomicmolecular Bose-Einstein condensates with Feshbach resonance is investigated. It is indicated thatthe tunneiing in the two Bose-Einstein condensates depends not only on the inter-molecular nonlinearinteractions and the initial number of molecule in these condensates, but also on the tunnelingcoupling between them. It is discovered that besides oscillating tunneling current between themulti-atomic molecular condensates, the nonlinear multi-atomic molecular tunneling dynamics sustainsa self-locked population imbalance: a macroscopic quantum self-trapping effect. The influence ofde-coherence caused by non-condensate molecule on the tunneling dynamics is studied. It is shownthat de-coherence suppresses the multi-atomic molecular tunneling.展开更多
We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is det...We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.展开更多
基金The project supported by the Youth Natural Science Foundation of Zhengzhou Institute of Aeronautical Industry Management under Grant No. Q05K067
文摘For Bose-Einstein condensates trapped in a harmonic potential well, we present numerical results from solving the tlme-dependent nonlinear Schrolinger equation based on the Crank-Nicolson method. With this method we are able to find the ground state wave function and energy by evolving the trial initial wave function in real and imaginary time spaces, respectively. In real time space, the results are in agreement with [Phys. Rev. A 51 （1995） 4704], but the trial wave function is restricted in a very small range. On the contrary, in imaginary time space, the trial wave function can be chosen widely, moreover, the results are stable.
基金湖南省高校青年骨干教师培养基金，the Science Research Foundation of Educational Bureau of Hunan Province of China，湖南大学校科研和教改项目
文摘Tunneling dynamics of multi-atomic molecules between any two multi-atomicmolecular Bose-Einstein condensates with Feshbach resonance is investigated. It is indicated thatthe tunneiing in the two Bose-Einstein condensates depends not only on the inter-molecular nonlinearinteractions and the initial number of molecule in these condensates, but also on the tunnelingcoupling between them. It is discovered that besides oscillating tunneling current between themulti-atomic molecular condensates, the nonlinear multi-atomic molecular tunneling dynamics sustainsa self-locked population imbalance: a macroscopic quantum self-trapping effect. The influence ofde-coherence caused by non-condensate molecule on the tunneling dynamics is studied. It is shownthat de-coherence suppresses the multi-atomic molecular tunneling.
文摘We present the explicit analytical results of all the eigenstates and eigenvalues using a parameter λ without the assumption of Bethe ansatz for three different kinds of six bosonic,modes models. The parameter is determined by the roots of a polynomial and is solvable analytically or numerically.
