Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective

Details Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective Quantum phase transitions in Bose-Einstein condensates from a Bethe ansatz perspective

2012-04-25

arxiv.org/abs/1204.5790v1

NUCLEAR PHYSICS B856 (2012) 698-715

Physics

Condensed Matter

Quantum Gases

26 pages, 13 figures

Scientific paper

10.1016/j.nuclphysb.2011.11.021

We investigate two solvable models for Bose-Einstein condensates and extract physical information by studying the structure of the solutions of their Bethe ansatz equations. A careful observation of these solutions for the ground state of both models, as we vary some parameters of the Hamiltonian, suggests a connection between the behavior of the roots of the Bethe ansatz equations and the physical behavior of the models. Then, by the use of standard techniques for approaching quantum phase transition - gap, entanglement and fidelity - we find that the change in the scenery in the roots of the Bethe ansatz equations is directly related to a quantum phase transition, thus providing an alternative method for its detection.

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