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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. i 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, br. 5, 2008. https://doi.org/10.1103/PhysRevA.78.053602

Jukić, Dario, Robert Pezer, T. Gasenzer i Hrvoje Buljan. "Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions." Physical Review A 78, br. 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. [pristupljeno 24.04.2024.];78(5). doi: 10.1103/PhysRevA.78.053602

D. Jukić, R. Pezer, T. Gasenzer i H. Buljan, "Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions", Physical Review A, vol. 78, br. 5, 2008. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:217:873028. [Citirano: 24.04.2024.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:217:873028
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Naslov (engleski)Free expansion of a Lieb-Liniger gas: Asymptotic form of the wave functions
AutorDario Jukić
AutorRobert Pezer
AutorT. Gasenzer
AutorHrvoje Buljan
Autorova ustanovaSveučilište u Zagrebu
Prirodoslovno-matematički fakultet
(Fizički odsjek)
Znanstveno / umjetničko
područje, polje i grana		PRIRODNE ZNANOSTI
Fizika
Sažetak (engleski)
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.
Ključne riječi (engleski)
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaPhysical Review A
Brojčani podacivol. 78, br. 5, 053602
p-ISSN1050-2947
DOIhttps://doi.org/10.1103/PhysRevA.78.053602
URN:NBNurn:nbn:hr:217:873028
Datum objave publikacije2008
ProjektŠifra: 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 dokumentahttp://link.aps.org/doi/10.1103/PhysRevA.78.053602
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Javna napomenaCopyright (2008) by the American Physical Society. Received 16 April 2008; published 3 November 2008.
Datum i vrijeme pohrane2019-10-19 18:57:44