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Scientific paper - Original scientific paper
Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas
Physical Review Letters, 100 (2008), 8; 08406. https://doi.org/10.1103/PhysRevLett.100.080406
Buljan, Hrvoje; Pezer, Robert; Gasenzer, T.

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Buljan, H., Pezer, R. & Gasenzer, T. (2008). Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas. Physical Review Letters, 100. (8). doi: 10.1103/PhysRevLett.100.080406

Buljan, Hrvoje, et al. "Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas." Physical Review Letters, vol. 100, no. 8, 2008. https://doi.org/10.1103/PhysRevLett.100.080406

Buljan, Hrvoje, Robert Pezer and T. Gasenzer. "Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas." Physical Review Letters 100, no. 8 (2008). https://doi.org/10.1103/PhysRevLett.100.080406

Buljan, H., Pezer, R. and Gasenzer, T. (2008) 'Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas', Physical Review Letters, 100(8). doi: 10.1103/PhysRevLett.100.080406

Buljan H, Pezer R, Gasenzer T. Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas. Physical Review Letters [Internet]. 2008 [cited 2024 December 20];100(8). doi: 10.1103/PhysRevLett.100.080406

H. Buljan, R. Pezer and T. Gasenzer, "Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas", Physical Review Letters, vol. 100, no. 8, 2008. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:397408. [Accessed: 20 December 2024]

Metadata
Title (english)Fermi-Bose Transformation for the Time-Dependent Lieb-Liniger Gas
AuthorHrvoje Buljan
AuthorRobert Pezer
AuthorT. Gasenzer
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
Exact solutions of the Schrödinger equation describing a freely expanding Lieb-Liniger gas of delta-interacting bosons in one spatial dimension are constructed. We demonstrate that for any interaction strength the system enters a strongly correlated regime during such expansion. The asymptotic form of the wave function is shown to have the form characteristic for “impenetrable-core” bosons. Exact solutions are obtained by transforming a fully antisymmetric (fermionic) time-dependent wave function that obeys the Schrödinger equation for a free gas. This transformation employs a differential Fermi-Bose mapping operator that depends on the strength of the interaction and the number of particles.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review Letters
Numberingvol. 100, no. 8, 08406
p-ISSN0031-9007
e-ISSN1079-7114
DOIhttps://doi.org/10.1103/PhysRevLett.100.080406
URN:NBNurn:nbn:hr:217:397408
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/PhysRevLett.100.080406
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public noteCopyright (2008) by the American Physical Society. Received 10 September 2007; revised manuscript received 5 December 2007; published 29 February 2008.
Created on2019-10-18 20:58:24