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

Scientific paper - Original scientific paper

• Author: Robert Pezer
• Author: T. Gasenzer
• Author: Hrvoje Buljan
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

Abstract (english)

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.

• Keywords (english): nonequilibrium dynamics; bosons; interactions
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review A
• Numbering: vol. 80, no. 5, 053616
• p-ISSN: 1050-2947
• DOI: https://doi.org/10.1103/PhysRevA.80.053616
• URN:NBN: urn:nbn:hr:217:760105
• Publication: 2009
• Project: Number: 119-0000000-1015; Title (croatian): Nelinearne pojave i valna dinamika u fotoničkim sustavima; Leader: Hrvoje Buljan; Jurisdiction: Croatia; Funding stream: ZP
• Document URL: http://link.aps.org/doi/10.1103/PhysRevA.80.053616
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (2009) by the American Physical Society. Received 24 July 2009; published 19 November 2009.
• Created on: 2019-10-28 16:34:12