Lieb-Liniger gas in a constant-force potential

Scientific paper - Original scientific paper

• Author: Dario Jukić
• Author: Stipe Galić
• Author: Robert Pezer
• 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 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.

• Keywords (english): nonequilibrium dynamics; exact solutions; many-body systems; matter-waves
• 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. 82, no. 2, 023606
• p-ISSN: 1050-2947
• DOI: https://doi.org/10.1103/PhysRevA.82.023606
• URN:NBN: urn:nbn:hr:217:505268
• Publication: 2010
• 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.82.023606
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (2010) by the American Physical Society. Received 20 May 2010; published 12 August 2010.
• Created on: 2019-11-03 16:23:34