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“Solidification” in a soluble model of bosons on a one-dimensional lattice: The “Boson-Hubbard chain”

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
80
Issue
4
Identifiers
DOI: 10.1016/0375-9601(80)90022-5

Abstract

Abstract Lieb and Liniger's soluble model of the 1-D Bose gas is put on a lattice, becoming a “boson-Hubbard model”. It remains soluble by the Bethe ansatz. When the coupling exceeds a critical value ( U 2πT )> 2√3 π , a gap is present when the density n bosons per site is 1.

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