Single-particle density matrix and the momentum distribution of dark “solitons” in a Tonks-Girardeau gas

Buljan, Hrvoje and Lelas, Karlo and Pezer, Robert and Jablan, Marinko (2007) Single-particle density matrix and the momentum distribution of dark “solitons” in a Tonks-Girardeau gas. Physical Review A, 76 (4). pp. 43609-9. ISSN 1050-2947

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Abstract

We study the reduced single-particle density matrix (RSPDM), the momentum distribution, and natural orbitals and their occupancies of dark “ soliton” (DS) states in a Tonks-Girardeau gas. DS states are specially tailored excited many-body eigenstates, which have a dark solitonic notch in their single-particle density. The momentum distribution of DS states has a characteristic shape with two sharp spikes. We find that the two spikes arise due to the high degree of correlation observed within the RSPDM between the mirror points (x and − x) with respect to the dark notch at x=0 ; the correlations oscillate rather than decay as the points x and − x are being separated.

Item Type: Article
Keywords: bosons, strongly correlated systems, solitons, density matrix
Date: October 2007
Subjects: NATURAL SCIENCES > Physics
Additional Information: Copyright (2007) 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: 03 Jun 2014 11:09
Last Modified: 03 Jun 2014 11:09
URI: http://digre.pmf.unizg.hr/id/eprint/1703

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