We investigate the internal dynamics of the spinor Bose-Einstein condensates subject to dissipation by solving the Lindblad master equation. It is shown that for the condensates without dissipation its dynamics always...We investigate the internal dynamics of the spinor Bose-Einstein condensates subject to dissipation by solving the Lindblad master equation. It is shown that for the condensates without dissipation its dynamics always evolve along a specific orbital in the phase space of （no, O） and display three kinds of dynamical properties including Josephson-like oscil- lation, self-trapping-like oscillation, and ＇running phase＇. In contrast, the condensates subject to dissipation will not evolve along the specific dynamical orbital. If component-1 and component-（-1） dissipate at different rates, the magnetization m will not conserve and the system transits between different dynamical regions. The dynamical properties can be exhibited in the ohase soace of （nn, θ, m）.展开更多
We numerically simulate the dynamics of a spin-2 Bose-Einstein condensate.We find that the initialphase plays an important role in the spin component oscillations.The spin mixing processes can fully cancel out due toq...We numerically simulate the dynamics of a spin-2 Bose-Einstein condensate.We find that the initialphase plays an important role in the spin component oscillations.The spin mixing processes can fully cancel out due toquantum interference when taking some initial special phase.In all the spin mixing processes,the total spin is conversed.When the initial population is mainly occupied by a component with the maximal or minimal magnetic quantum number,the oscillations of spin components cannot happen due to the total spin conversation.The presence of quadratic Zeemanenergy terms suppresses some spin mixing processes so that the oscillations of spin components are suppressed in someinitial spin configuration.However,the linear Zeeman energy terms have no effects on the spin mixing processes.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.11004007)the Fundamental Research Funds for the Central Universities of China
文摘We investigate the internal dynamics of the spinor Bose-Einstein condensates subject to dissipation by solving the Lindblad master equation. It is shown that for the condensates without dissipation its dynamics always evolve along a specific orbital in the phase space of （no, O） and display three kinds of dynamical properties including Josephson-like oscil- lation, self-trapping-like oscillation, and ＇running phase＇. In contrast, the condensates subject to dissipation will not evolve along the specific dynamical orbital. If component-1 and component-（-1） dissipate at different rates, the magnetization m will not conserve and the system transits between different dynamical regions. The dynamical properties can be exhibited in the ohase soace of （nn, θ, m）.
基金The project supported by National Natural Science Foundation of China under Grant Nos.10547107 and 10571091and the Teaching and Research Foundation for the Outstanding Young Faculty of Southeast University
文摘We numerically simulate the dynamics of a spin-2 Bose-Einstein condensate.We find that the initialphase plays an important role in the spin component oscillations.The spin mixing processes can fully cancel out due toquantum interference when taking some initial special phase.In all the spin mixing processes,the total spin is conversed.When the initial population is mainly occupied by a component with the maximal or minimal magnetic quantum number,the oscillations of spin components cannot happen due to the total spin conversation.The presence of quadratic Zeemanenergy terms suppresses some spin mixing processes so that the oscillations of spin components are suppressed in someinitial spin configuration.However,the linear Zeeman energy terms have no effects on the spin mixing processes.
