Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas

Pezer, Robert and Gasenzer, T. and Buljan, Hrvoje (2009) Single-particle density matrix for a time-dependent strongly interacting one-dimensional Bose gas. Physical Review A, 80 (5). pp. 53616-7. ISSN 1050-2947

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Abstract

We derive a 1/c expansion for the single-particle density matrix of a strongly interacting time-dependent one-dimensional Bose gas, described by the Lieb-Liniger model (c denotes the strength of the interaction). The formalism is derived by expanding Gaudin’s Fermi-Bose mapping operator up to 1/c terms. We derive an efficient numerical algorithm for calculating the density matrix for time-dependent states in the strong coupling limit, which evolve from a family of initial conditions in the absence of an external potential. We have applied the formalism to study contraction dynamics of a localized wave packet upon which a parabolic phase is imprinted initially.

Item Type: Article
Keywords: nonequilibrium dynamics, bosons, interactions
Date: November 2009
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2009) 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 20:46
Last Modified: 29 May 2014 20:46
URI: http://digre.pmf.unizg.hr/id/eprint/1978

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