We investigate theoretically the properties of a Bose-Einstein condensate located in a spatially periodic potential. The excitations of the condensate are obtained from linear equations involving the periodic potential and the periodic condensate density. The Bloch ansatz therefore applies and the excitation spectrum exhibits band structure. If the periodic potential is accelerated, the condensate may undergo Bloch oscillations in the accelerated frame, corresponding to an acceleration without spreading of the entire condensate.We investigate theoretically the properties of a Bose-Einstein condensate located in a spatially periodic potential. The excitations of the condensate are obtained from linear equations involving the periodic potential and the periodic condensate density. The Bloch ansatz therefore applies and the excitation spectrum exhibits band structure. If the periodic potential is accelerated, the condensate may undergo Bloch oscillations in the accelerated frame, corresponding to an acceleration without spreading of the entire condensate.

Physical Review AAug 1, 1998152 citations

Bose–Einstein Condensates in Disordered Potentials

L. Fallani, C. Fort, M. Inguscio

arXiv:0804.2888Advances in atomic, molecular, and optical physicsJan 1, 200893 citations

Bose-Einstein condensates in spatially periodic potentials

Kirstine Berg‐Sørensen

Bose-Einstein condensation in trapped dilute gases1,1,3 was observed only recently. Nevertheless, the experimental developments in this field have advanced rapidly, and the properties of condensates in different circumstances have become a matter of practical interest. In this work we study the influence of a spatially periodic external potential on the properties of a Bose-Einstein condensate, as reported elsewhere in more detail4. Such a periodic potential may be induced by a far-off resonant laser field, and with present trapped condensates it is possible to have a condensate extending over many periods of such a field. The proposed periodic potential could be realized by a simple rearrangement of the laser field in the experiments with an optically trapped condensate5.Bose-Einstein condensation in trapped dilute gases1,1,3 was observed only recently. Nevertheless, the experimental developments in this field have advanced rapidly, and the properties of condensates in different circumstances have become a matter of practical interest. In this work we study the influence of a spatially periodic external potential on the properties of a Bose-Einstein condensate, as reported elsewhere in more detail4. Such a periodic potential may be induced by a far-off resonant laser field, and with present trapped condensates it is possible to have a condensate extending over many periods of such a field. The proposed periodic potential could be realized by a simple rearrangement of the laser field in the experiments with an optically trapped condensate5.

European Quantum Electronics Conference (EQEC)Aug 24, 20055 citations

Management of Bose-Einstein condensates by a spatially periodic modulation of the atomic s -wave scattering length

Guangjiong Dong, Bambi Hu

We investigate the effect of the position-dependent $s$ -wave scattering length (SSL) on Bose-Einstein condensate (BEC) dynamics. In particular, we study the propagation of a BEC within a finite regime where the SSL, tuned by a periodic magnetic or optical field, results in the Bragg scattering of the BEC. We have predicted a matter-wave optical limiting process and bistability, which have potential applications like a matter wave limiter, a BEC mirror or cavity, and an atomic switch. The first phenomenon is a direct result of this periodic spatial tuning, showing that the position-dependent tuning of the SSL has the potential to result in novel properties of ultracold atomic gases.We investigate the effect of the position-dependent $s$-wave scattering length (SSL) on Bose-Einstein condensate (BEC) dynamics. In particular, we study the propagation of a BEC within a finite regime where the SSL, tuned by a periodic magnetic or optical field, results in the Bragg scattering of the BEC. We have predicted a matter-wave optical limiting process and bistability, which have potential applications like a matter wave limiter, a BEC mirror or cavity, and an atomic switch. The first phenomenon is a direct result of this periodic spatial tuning, showing that the position-dependent tuning of the SSL has the potential to result in novel properties of ultracold atomic gases.

Physical Review AJan 29, 200728 citations

Bose-Einstein condensates in optical potentials

L. Fallani, C. Fort, M. Inguscio

Jan 1, 20054 citations

We investigate the effect of the position-dependent

s

-wave scattering length (SSL) on Bose-Einstein condensate (BEC) dynamics. In particular, we study the propagation of a BEC within a finite regime where the SSL, tuned by a periodic magnetic or optical field, results in the Bragg scattering of the BEC. We have predicted a matter-wave optical limiting process and bistability, which have potential applications like a matter wave limiter, a BEC mirror or cavity, and an atomic switch. The first phenomenon is a direct result of this periodic spatial tuning, showing that the position-dependent tuning of the SSL has the potential to result in novel properties of ultracold atomic gases.