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Ground State of 1D Bosons with Delta Interaction: Link to the BCS Model

Batchelor, Murray; Guan, Xi-Wen; McGuire, J. B.


The Bethe roots describing the ground-state energy of the integrable one-dimensional (1D) model of interacting bosons with weakly repulsive two-body delta interactions are seen to satisfy the set of Richardson equations appearing in the strong coupling limit of an integrable BCS pairing model. The BCS model describes boson-boson interactions with zero centre of mass momentum of pairs. It follows that the Bethe roots of the weakly interacting boson model are given by the zeros of Laguerre...[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Journal of Physics A: Mathematical and General
DOI: 10.1088/0305-4470/37/42/L01


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