Details

Autor(en) / Beteiligte

• Kanamoto, R.
• Carr, L. D.
• Ueda, M.

Titel

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

Ist Teil von

• Physical review. A, Atomic, molecular, and optical physics, 2010-02, Vol.81 (2), Article 023625

Ort / Verlag

United States

Erscheinungsjahr

2010

Quelle

American Physical Society

Beschreibungen/Notizen

• We show that quantum solitons in the Lieb-Liniger Hamiltonian are precisely the yrast states. We identify such solutions 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 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.