Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition

Details Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition Macroscopic self trapping in BECs: analysis of a dynamical quantum phase transition

2009-12-07

arxiv.org/abs/0912.1239v2

Phys. Rev. A 81, 023615 (2010)

Physics

Condensed Matter

Quantum Gases

Fig 6c,d corrected. 7 pages, 10 eps figures

Scientific paper

10.1103/PhysRevA.81.023615

We consider a Bose-Einstein condensate in a double-well potential undergoing a dynamical transition from the regime of Josephson oscillations to the regime of self-trapping. We analyze the statistical properties of the ground state (or the highest excited state) of the Hamiltonian in these two regimes for attractive (repulsive) interactions. We demonstrate that it is impossible to describe the transition within the mean-field theory. In contrast, the transition proceeds through a strongly correlated delocalized state, with large quantum fluctuations, and spontaneous breaking of the symmetry.

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