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Tunneling and self-trapping of Superfluid Fermi Gases in BCS-BEC Crossover

Communications in Theoretical Physics 2012年第2期57卷 188-194页

作者：周昱王颖罗文琛马晓栋 Department of Physics Jiangsu University of Science and Technology Department of Physics East China Normal University Departement de Physique Universite de SherbrookeSherbrookeQuebec J1K 2R1Canada Department of Physics Xinjiang Normal UniversityUrumuchi 830054China

We investigate tunneling and self-trapping of superfluid Fermi gases under a two-mode ansatz in different regimes of the crossover from Bardeen-Cooper-Schrieffer （BCS） superfluid to Bose-Einstein condensates （BEC）. Starting from a generalized equation of state, we derive the coupled equations of relative atom-pair number and relative phase about superfluid Fermi gases in a double-well system and then classify the different oscillation behaviors by the tunneling strength and interactions between atoms. Tunneling and self-trapping behaviors are considered in the whole BCS-BEC crossover in the ease of a symmetric double-well potential. We show that the nonlinear interaction between atoms makes the self-trapping more easily realized in BCS regime than in the BEC regime and stability analysis is also given.

关键词： BCS-BEC crossover Josephson effect macroscopic quantum self-trapping

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Atomic population oscillations between two coupled Bose-Einstein condensates with time-dependent nonlinear interaction

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Chinese Physics B 2007年第3期16卷 650-659页

作者：李飞舒维星罗海陆任中洲 Department of Physics Nanjing University Nanjing 210093 China

The atomic population oscillations between two Bose-Einstein condensates with time-dependent nonlinear interaction in a double-well potential are studied. We first analyse the stabilities of the system＇s steady-state solutions. And then in the perturbative regime, the Melnikov chaotic oscillation of atomic population imbalance is investigated and the Melnikov chaotic criterion is obtained. When the system is out of the perturbative regime, numerical calculations reveal that regulating the nonlinear parameter can lead the system to step into chaos via period doubling bifurcations. It is also numerically found that adjusting the nonlinear parameter and asymmetric trap potential can result in the running-phase macroscopic quantum self-trapping （MQST）. In the presence of a weak asymmetric trap potential, there exists the parametric resonance in the system.

关键词： Bose-Einstein condensates Melnikov chaotic criterion period doubling macroscopic quantum self-trapping

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Population dynamics of ultra-cold atoms interacting with radiation fields in the presence of inter-atomic collisions

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Chinese Optics Letters 2021年第12期19卷 85-92页

作者： E.Ghasemian M.K.Tavassoly Optic and Laser Group Faculty of PhysicsYazd UniversityYazdIran

We investigate the dynamics of a system that consists of ultra-cold three-level atoms interacting with radiation *** derive the analytical expressions for the population dynamics of the system,particularly,in the presence and absence of nonlinear collisions by considering the rotating wave approximation(RWA).We also reanalyze the dynamics of the system beyond RWA and obtain the state vector of the system to study and compare the time behavior of population *** results show that the system undergoes two pure quantum phenomena,i.e.,the collapse-revival and macroscopic quantum self-trapping due to nonlinear collisional *** occurrence of such phenomena strongly depends on the number of atoms in the system and also the ratio of interaction strengths in the considered ***,we show that the result of the perturbed time evolution operator up to the second-order is in agreement with the numerical solution of the Schrodinger *** results presented in the paper may be useful for the design of devices that produce a coherent beam of bosonic atoms known as an atom laser.

关键词： Bose-Einstein condensate collapse-revival macroscopic quantum self-trapping population inversion

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