[en] We study numerically the coupling between a qubit and a Bose-Einstein condensate (BEC) moving in a kicked optical lattice, using Gross-Pitaevskii equation. In the regime where the BEC size is smaller than the lattice period, the chaotic dynamics of the BEC is effectively controlled by the qubit state. The feedback effects of the nonlinear chaotic BEC dynamics preserve the coherence and purity of the qubit in the regime of strong BEC nonlinearity. This gives an example of an exponentially sensitive control over a macroscopic state by internal qubit states. At weak nonlinearity quantum chaos leads to rapid dynamical decoherence of the qubit. The realization of such coupled systems is within reach of current experimental techniques.
Disciplines :
Physics
Author, co-author :
Martin, John ; Université de Liège - ULiège > Département de physique > Physique des atomes froids
Georgeot, B.; Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), F-31062 Toulouse, France ; CNRS, LPT (IRSAMC), F-31062 Toulouse, France
Shepelyansky, D. L.; Université de Toulouse, UPS, Laboratoire de Physique Théorique (IRSAMC), F-31062 Toulouse, France ; CNRS, LPT (IRSAMC), F-31062 Toulouse, France
Language :
English
Title :
Chaotic dynamics of a Bose-Einstein condensate coupled to a qubit
Publication date :
2009
Journal title :
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
ISSN :
1539-3755
eISSN :
1550-2376
Publisher :
American Physical Society, College Park, United States - Maryland
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