Quantum dynamics of a binary mixture of BECs in a double well potential: an Holstein-Primakoff approach

Edmond Orignac 1 Roberta Citro 2 Adele Naddeo 2
1 Phys-ENS - Laboratoire de Physique de l'ENS Lyon
2 Dipartamento di Fisica "E. R. Caianiello"
Abstract : We study the quantum dynamics of a binary mixture of Bose-Einstein condensates (BEC) in a double-well potential starting from a two-mode Bose-Hubbard Hamiltonian. Focussing on the regime where the number of atoms is very large, a mapping onto a SU(2) spin problem together with a Holstein-Primakoff transformation is performed. The quantum evolution of the number difference of bosons between the two wells is investigated for different initial conditions, which range from the case of a small imbalance between the two wells to a coherent spin state. The results show an instability towards a phase-separation above a critical positive value of the interspecies interaction while the system evolves towards a coherent tunneling regime for negative interspecies interactions. A comparison with a semiclassical approach is discussed together with some implications on the experimental realization of phase separation with cold atoms.
Keywords : Bose-Einstein condensates Holstein-Primakoff transformation mixtures
Type de document :
Article dans une revue
Journal of Physics B: Atomic, Molecular and Optical Physics, IOP Publishing, 2011, 44, pp.115306. 〈10.1088/0953-4075/44/11/115306〉
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00604636
Contributeur : Edmond Orignac <>
Soumis le : mercredi 29 juin 2011 - 13:23:55
Dernière modification le : jeudi 19 avril 2018 - 14:54:03

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Edmond Orignac, Roberta Citro, Adele Naddeo. Quantum dynamics of a binary mixture of BECs in a double well potential: an Holstein-Primakoff approach. Journal of Physics B: Atomic, Molecular and Optical Physics, IOP Publishing, 2011, 44, pp.115306. 〈10.1088/0953-4075/44/11/115306〉. 〈ensl-00604636〉

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