Metastable quantum phase transitions in a periodic one-dimensional Bose gas: II. Many-body theory

Details Metastable quantum phase transitions in a periodic one-dimensional Bose gas: II. Many-body theory Metastable quantum phase transitions in a periodic one-dimensional Bose gas: II. Many-body theory

2009-10-15

arxiv.org/abs/0910.2805v3

Phys. Rev. A 81, 023625 (2010); Erratum: Phys. Rev. A 81, 049903(E) (2010)

Physics

Condensed Matter

Quantum Gases

Scientific paper

10.1103/PhysRevA.81.023625; 10.1

We show that quantum solitons in the Lieb-Liniger Hamiltonian are precisely the yrast states. We identify such solutions clearly with Lieb's type II excitations from weak to strong interactions, clarifying a long-standing question of the physical meaning of this excitation branch. We demonstrate that the metastable quantum phase transition previously found in mean field analysis of the weakly-interacting Lieb-Liniger Hamiltonian [Phys. Rev. A {\bf 79}, 063616 (2009)] extends into the medium- to strongly-interacting regime of a periodic one-dimensional Bose gas. Our methods are exact diagonalization, finite-size Bethe ansatz, and the boson-fermion mapping in the Tonks-Girardeau limit.

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