Momentum distribution of a freely expanding Lieb-Liniger gas

Znanstveni rad - Izvorni znanstveni rad

• Autor: Dario Jukić
• Autor: Bruno Klajn
• Autor: Hrvoje Buljan
• Autorova ustanova: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Fizički odsjek)
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Fizika

Sažetak (engleski)

We numerically study free expansion of a few Lieb-Liniger bosons, which are initially in the ground state of an infinitely deep hard-wall trap. Numerical calculation is carried out by employing a standard Fourier transform, as follows from the Fermi-Bose transformation for a time-dependent Lieb-Liniger gas. We study the evolution of the momentum distribution, the real-space single-particle density, and the occupancies of natural orbitals. Our numerical calculation allows us to explore the behavior of these observables in the transient regime of the expansion, where they are nontrivially affected by the particle interactions. We derive analytically (by using the stationary phase approximation) the formula which connects the asymptotic shape of the momentum distribution and the initial state. For sufficiently large times, the momentum distribution coincides (up to a simple scaling transformation) with the shape of the real-space single-particle density (the expansion is asymptotically ballistic). Our analytical and numerical results are in good agreement.

• Ključne riječi (engleski): nonequilibrium dynamics; bosons; interactions
• Jezik: engleski
• Vrsta publikacije: Znanstveni rad - Izvorni znanstveni rad
• Status objave: Objavljen
• Vrsta recenzije: Recenziran - međunarodna recenzija
• Verzija publikacije: Objavljena verzija rada (izdavačev PDF)
• Naslov časopisa: Physical Review A
• Brojčani podaci: vol. 79, br. 3, 033612
• p-ISSN: 1050-2947
• DOI: https://doi.org/10.1103/PhysRevA.79.033612
• URN:NBN: urn:nbn:hr:217:789658
• Datum objave publikacije: 2009
• Projekt: Šifra: 119-0000000-1015; Naziv (hrvatski): Nelinearne pojave i valna dinamika u fotoničkim sustavima; Voditelj: Hrvoje Buljan; Pravna nadležnost: Hrvatska; Financijer: MZOS; Linija financiranja: ZP
• URL dokumenta: http://link.aps.org/doi/10.1103/PhysRevA.79.033612
• Vrsta resursa: Tekst
• Prava pristupa: Otvoreni pristup
• Javna napomena: Copyright (2009) by the American Physical Society. Received 26 January 2009; published 12 March 2009.
• Datum i vrijeme pohrane: 2019-10-19 19:58:56