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
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Journal articles
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https://hal-ens-lyon.archives-ouvertes.fr/ensl-00604636
Contributor : Edmond Orignac <>
Submitted on : Wednesday, June 29, 2011 - 1:23:55 PM
Last modification on : Wednesday, November 20, 2019 - 2:46:51 AM

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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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