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Scientific paper - Original scientific paper
Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
Physical Review A, 78 (2008), 5; 053602. https://doi.org/10.1103/PhysRevA.78.053602
Jukić, Dario; Pezer, Robert; Gasenzer, T.; Buljan, Hrvoje

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Jukić, D., Pezer, R., Gasenzer, T. & Buljan, H. (2008). Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions. Physical Review A, 78. (5). doi: 10.1103/PhysRevA.78.053602

Jukić, Dario, et al. "Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions." Physical Review A, vol. 78, no. 5, 2008. https://doi.org/10.1103/PhysRevA.78.053602

Jukić, Dario, Robert Pezer, T. Gasenzer and Hrvoje Buljan. "Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions." Physical Review A 78, no. 5 (2008). https://doi.org/10.1103/PhysRevA.78.053602

Jukić, D., et al. (2008) 'Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions', Physical Review A, 78(5). doi: 10.1103/PhysRevA.78.053602

Jukić D, Pezer R, Gasenzer T, Buljan H. Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions. Physical Review A [Internet]. 2008 [cited 2024 December 20];78(5). doi: 10.1103/PhysRevA.78.053602

D. Jukić, R. Pezer, T. Gasenzer and H. Buljan, "Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions", Physical Review A, vol. 78, no. 5, 2008. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:873028. [Accessed: 20 December 2024]

Metadata
Title (english)Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
AuthorDario Jukić
AuthorRobert Pezer
AuthorT. Gasenzer
AuthorHrvoje Buljan
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
The asymptotic form of the wave functions describing a freely expanding Lieb-Liniger gas is derived by using a Fermi-Bose transformation for time-dependent states, and the stationary phase approximation. We find that asymptotically the wave functions approach the Tonks-Girardeau (TG) structure as they vanish when any two of the particle coordinates coincide. We point out that the properties of these asymptotic states can significantly differ from the properties of a TG gas in a ground state of an external potential. The dependence of the asymptotic wave function on the initial state is discussed. The analysis encompasses a large class of initial conditions, including the ground states of a Lieb-Liniger gas in physically realistic external potentials. It is also demonstrated that the interaction energy asymptotically decays as a universal power law with time, E_int∝t^−3.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review A
Numberingvol. 78, no. 5, 053602
p-ISSN1050-2947
DOIhttps://doi.org/10.1103/PhysRevA.78.053602
URN:NBNurn:nbn:hr:217:873028
Publication2008
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.78.053602
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public noteCopyright (2008) by the American Physical Society. Received 16 April 2008; published 3 November 2008.
Created on2019-10-19 18:57:44