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Journal Articles Journal of Physics B: Atomic, Molecular and Optical Physics Year : 2011

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

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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.

Dates and versions

ensl-00604636 , version 1 (29-06-2011)

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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, 2011, 44, pp.115306. ⟨10.1088/0953-4075/44/11/115306⟩. ⟨ensl-00604636⟩
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