Lieb-Liniger gas in a constant-force potential

Jukić, Dario and Galić, Stipe and Pezer, Robert and Buljan, Hrvoje (2010) Lieb-Liniger gas in a constant-force potential. Physical Review A, 82 (2). pp. 23606-7. ISSN 1050-2947

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Abstract

We use Gaudin’s Fermi-Bose mapping operator to calculate exact solutions for the Lieb-Liniger model in a linear (constant-force) potential (the constructed exact stationary solutions are referred to as the Lieb-Liniger-Airy wave functions). The ground-state properties of the gas in the wedgelike trapping potential are calculated in the strongly interacting regime by using Girardeau’s Fermi-Bose mapping and the pseudopotential approach in the 1/c approximation (c denotes the strength of the interaction). We point out that quantum dynamics of Lieb-Liniger wave packets in the linear potential can be calculated by employing an N-dimensional Fourier transform as in the case of free expansion.

Item Type: Article
Keywords: nonequilibrium dynamics, exact solutions, many-body systems, matter-waves
Date: August 2010
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2010) by the American Physical Society.
Divisions: Faculty of Science > Department of Physics
Project code: 119-0000000-1015
Publisher: American Physical Society
Depositing User: Gordana Stubičan Ladešić
Date Deposited: 31 May 2014 20:41
Last Modified: 24 Feb 2016 15:29
URI: http://digre.pmf.unizg.hr/id/eprint/2037

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