prikaz prve stranice dokumenta Momentum distribution of a freely expanding Lieb-Liniger gas
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Scientific paper - Original scientific paper
Momentum distribution of a freely expanding Lieb-Liniger gas
Physical Review A, 79 (2009), 3; 033612. https://doi.org/10.1103/PhysRevA.79.033612
Jukić, Dario; Klajn, Bruno; Buljan, Hrvoje

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Jukić, D., Klajn, B. & Buljan, H. (2009). Momentum distribution of a freely expanding Lieb-Liniger gas. Physical Review A, 79. (3). doi: 10.1103/PhysRevA.79.033612

Jukić, Dario, et al. "Momentum distribution of a freely expanding Lieb-Liniger gas." Physical Review A, vol. 79, no. 3, 2009. https://doi.org/10.1103/PhysRevA.79.033612

Jukić, Dario, Bruno Klajn and Hrvoje Buljan. "Momentum distribution of a freely expanding Lieb-Liniger gas." Physical Review A 79, no. 3 (2009). https://doi.org/10.1103/PhysRevA.79.033612

Jukić, D., Klajn, B. and Buljan, H. (2009) 'Momentum distribution of a freely expanding Lieb-Liniger gas', Physical Review A, 79(3). doi: 10.1103/PhysRevA.79.033612

Jukić D, Klajn B, Buljan H. Momentum distribution of a freely expanding Lieb-Liniger gas. Physical Review A [Internet]. 2009 [cited 2024 December 20];79(3). doi: 10.1103/PhysRevA.79.033612

D. Jukić, B. Klajn and H. Buljan, "Momentum distribution of a freely expanding Lieb-Liniger gas", Physical Review A, vol. 79, no. 3, 2009. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:789658. [Accessed: 20 December 2024]

Metadata
Title (english)Momentum distribution of a freely expanding Lieb-Liniger gas
AuthorDario Jukić
AuthorBruno Klajn
AuthorHrvoje Buljan
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
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.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review A
Numberingvol. 79, no. 3, 033612
p-ISSN1050-2947
DOIhttps://doi.org/10.1103/PhysRevA.79.033612
URN:NBNurn:nbn:hr:217:789658
Publication2009
ProjectNumber: 119-0000000-1015
Title (croatian): Nelinearne pojave i valna dinamika u fotoničkim sustavima
Leader: Hrvoje Buljan
Jurisdiction: Croatia
Funding stream: ZP
Document URLhttp://link.aps.org/doi/10.1103/PhysRevA.79.033612
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public noteCopyright (2009) by the American Physical Society. Received 26 January 2009; published 12 March 2009.
Created on2019-10-19 19:58:56