Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas

Buljan, Hrvoje and Pezer, Robert and Gasenzer, T. (2008) Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas. Physical Review Letters, 100 (8). pp. 80406-4. ISSN 0031-9007

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Exact solutions of the Schrödinger equation describing a freely expanding Lieb-Liniger gas of delta-interacting bosons in one spatial dimension are constructed. We demonstrate that for any interaction strength the system enters a strongly correlated regime during such expansion. The asymptotic form of the wave function is shown to have the form characteristic for “impenetrable-core” bosons. Exact solutions are obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function that obeys the Schrödinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator that depends on the strength of the interaction and the number of particles.

Item Type: Article
Keywords: one-dimensional bosons, nonequilibrium dynamics, Fermi-Bose mapping
Date: February 2008
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2008) 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: 29 May 2014 19:29
Last Modified: 29 May 2014 19:29
URI: http://digre.pmf.unizg.hr/id/eprint/1964

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