We numerically analyze the dynamic behavior of Bose—Einstein condensate (BEC) in a one-dimensional disordered potential before it completely loses spatial quantum coherence. We find that both the disorder statistics and the atom interactions produce remarkable effects on localization. We also find that the single phase of the initial condensate is broken into many small pieces while the system approaches localization, showing a counter-intuitive step-wise phase but not a thoroughly randomized phase. Although the condensates as a whole show less flow and expansion, the currents between adjacent phase steps retain strong time dependence. Thus we show explicitly that the localization of a finite size Bose—Einstein condensate is a dynamic equilibrium state.We numerically analyze the dynamic behavior of Bose—Einstein condensate (BEC) in a one-dimensional disordered potential before it completely loses spatial quantum coherence. We find that both the disorder statistics and the atom interactions produce remarkable effects on localization. We also find that the single phase of the initial condensate is broken into many small pieces while the system approaches localization, showing a counter-intuitive step-wise phase but not a thoroughly randomized phase. Although the condensates as a whole show less flow and expansion, the currents between adjacent phase steps retain strong time dependence. Thus we show explicitly that the localization of a finite size Bose—Einstein condensate is a dynamic equilibrium state.

Chinese Physics LettersOct 1, 20111 citation

Quantum state portrayal of a Bose condensed gas

J. Rogel-Salazar, G.H.C. New, Seok Jin Choi +1 more

Summary form only given. With the realisation of Bose-Einstein condensation in dilute gases, it has been possible to study the dynamics of quantum fields at finite temperatures. The Gross-Pitaevskii equation (GPE) has proved to be a very useful tool for describing Bose-Einstein condensates (BECs) and has shown very good agreement with experimental results at low temperatures. In the present paper we apply the mean-field approximation to describe the quantum state of a Bose-Einstein condensate, using a phase-space representation to visualise such a state.Summary form only given. With the realisation of Bose-Einstein condensation in dilute gases, it has been possible to study the dynamics of quantum fields at finite temperatures. The Gross-Pitaevskii equation (GPE) has proved to be a very useful tool for describing Bose-Einstein condensates (BECs) and has shown very good agreement with experimental results at low temperatures. In the present paper we apply the mean-field approximation to describe the quantum state of a Bose-Einstein condensate, using a phase-space representation to visualise such a state.

Quantum Electronics and Laser Science ConferenceJun 25, 20030 citations

Dynamics of Bose-Einstein Condensates

Wu‐Ming Liu

Dec 1, 20062 citations

Stability analysis for n -component Bose-Einstein condensate

David C K Roberts, Masahito Ueda

We derive the dynamic and thermodynamic stability conditions for dilute multicomponent Bose-Einstein condensates (BECs). These stability conditions, generalized for $n$ -component BECs, are found to be equivalent and are shown to be consistent with the phase diagrams of two- and three-component condensates that are derived from energetic arguments.We derive the dynamic and thermodynamic stability conditions for dilute multicomponent Bose-Einstein condensates (BECs). These stability conditions, generalized for $n$-component BECs, are found to be equivalent and are shown to be consistent with the phase diagrams of two- and three-component condensates that are derived from energetic arguments.

arXiv:cond-mat/0603113Physical Review AMay 26, 200623 citations

Dynamics of Bose-Einstein Condensates

Benjamin Schlein

arXiv:0704.0813New Trends in Mathematical PhysicsJan 1, 20097 citations

We derive the dynamic and thermodynamic stability conditions for dilute multicomponent Bose-Einstein condensates (BECs). These stability conditions, generalized for

n

-component BECs, are found to be equivalent and are shown to be consistent with the phase diagrams of two- and three-component condensates that are derived from energetic arguments.