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Localization of Bose-Einstein condensates in disordered potentials

Laurent Sanchez-Palencia

Jul 1, 20070 citations

Quantum localization without disorder in interacting Bose-Einstein condensates

Roberto Franzosi, S. M. Giampaolo, Fabrizio Illuminati

Jul 14, 20100 citations

Probing Localization Physics with a Bose-Einstein Condensate Subject to Optical Random Potential: Interplay of Interaction and Disorder

Yong P. Chen, Mark D. Junker, D. Dries +3 more

Bulletin of the American Physical SocietyMay 18, 20060 citations

Disorder Induced Dynamic Equilibrium Localization and Random Phase Steps of Bose—Einstein Condensates

Yafan Duan, Zhen Xu, Jun Qian +3 more

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

On the Nature of Bose-Einstein Condensation in Disordered Systems

Thomas Jaeck, Joseph V. Pulé, Valentin Anatol'evich Zagrebnov

arXiv:0905.4790Journal of Statistical PhysicsSep 28, 20098 citations

Anderson localization of a spin–orbit coupled Bose–Einstein condensate in disorder potential

Huan Zhang, Sheng Liu, Yong-Sheng Zhang

We present numerical results of a one-dimensional spin–orbit coupled Bose–Einstein condensate expanding in a speckle disorder potential by employing the Gross–Pitaevskii equation. Localization properties of a spin–orbit coupled Bose–Einstein condensate in zero-momentum phase, magnetic phase and stripe phase are studied. It is found that the localizing behavior in the zero-momentum phase is similar to the normal Bose–Einstein condensate. Moreover, in both magnetic phase and stripe phase, the localization length changes non-monotonically as the fitting interval increases. In magnetic phases, the Bose–Einstein condensate will experience spin relaxation in disorder potential.We present numerical results of a one-dimensional spin–orbit coupled Bose–Einstein condensate expanding in a speckle disorder potential by employing the Gross–Pitaevskii equation. Localization properties of a spin–orbit coupled Bose–Einstein condensate in zero-momentum phase, magnetic phase and stripe phase are studied. It is found that the localizing behavior in the zero-momentum phase is similar to the normal Bose–Einstein condensate. Moreover, in both magnetic phase and stripe phase, the localization length changes non-monotonically as the fitting interval increases. In magnetic phases, the Bose–Einstein condensate will experience spin relaxation in disorder potential.

Chinese Physics BFeb 10, 20227 citations

Localization of Bose–Einstein Condensation by Disorder

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