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Ground state properties of one-dimensional Bose–Fermi mixtures

Zi-Xiang Hu, Qiu-Lan Zhang and You-Quan Li

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Bose–Fermi mixtures in one dimension are studied in detail on the basis of an exact solution. Corresponding to three possible choices of the reference state in the quantum inverse scattering method, three sets of Bethe-ansatz equations are derived explicitly. The features of the ground state and low-lying excitations are investigated. The ground state phase diagram caused by the external field and chemical potential is obtained.


PACS

03.65.Nk Scattering theory

05.30.-d Quantum statistical mechanics

MSC

82B23 Exactly solvable models; Bethe ansatz

81U40 Inverse scattering problems

81U15 Exactly and quasi-solvable systems

Subjects

Quantum gases, liquids and solids

Statistical physics and nonlinear systems

Quantum information and quantum mechanics

Dates

Issue 2 (13 January 2006)

Received 6 July 2005, in final form 22 August 2005

Published 14 December 2005



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