Momentum Distribution Dynamics of a Tonks-Girardeau Gas: Bragg Reflections of a Quantum Many-Body Wave Packet

Scientific paper - Original scientific paper

• 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)

The momentum distribution (MD) dynamics of a Tonks-Girardeau (TG) gas is studied in the context of Bragg reflections of a many-body wave packet. We find strong suppression of a Bragg reflection peak for a large and dense TG wave packet; our observation illustrates the dependence of the MD on the interactions and wave function symmetry. The MD is calculated from the reduced single-particle density matrix (RSPDM). We develop a method for calculating the RSPDM of a TG gas, which is operative for a large number of particles, and does not depend on the external potential and the state of the system. The method is based on a formula expressing the RSPDM via a dynamically evolving single-particle basis.

• Keywords (english): interacting many-body systems; nonequilibrium dynamics; Bose gases; Bragg reflections
• 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 Letters
• Numbering: vol. 98, no. 24, 240403
• p-ISSN: 0031-9007
• e-ISSN: 1079-7114
• DOI: https://doi.org/10.1103/PhysRevLett.98.240403
• URN:NBN: urn:nbn:hr:217:306496
• Publication: 2007
• 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/PhysRevLett.98.240403
• Type of resource: Text
• Access conditions: Open access
• Public note: Copyright (2007) by the American Physical Society. Received 22 November 2006; published 14 June 2007.
• Created on: 2019-10-18 14:48:11