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Scientific paper - Original scientific paper
Berry phase for a Bose gas on a one-dimensional ring
Physical Review A (atomic, molecular, and optical physics and quantum information), 102 (2020), 1; 1-7. https://doi.org/10.1103/physreva.102.013322
Todorić, Marija; Klajn, Bruno; Jukić, Dario; Buljan, Hrvoje

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Todorić, M., Klajn, B., Jukić, D. & Buljan, H. (2020). Berry phase for a Bose gas on a one-dimensional ring. Physical Review A (atomic, molecular, and optical physics and quantum information), 102. (1), 1-7. doi: 10.1103/physreva.102.013322

Todorić, Marija, et al. "Berry phase for a Bose gas on a one-dimensional ring." Physical Review A (atomic, molecular, and optical physics and quantum information), vol. 102, no. 1, 2020, pp. 1-7. https://doi.org/10.1103/physreva.102.013322

Todorić, Marija, Bruno Klajn, Dario Jukić and Hrvoje Buljan. "Berry phase for a Bose gas on a one-dimensional ring." Physical Review A (atomic, molecular, and optical physics and quantum information) 102, no. 1 (2020): 1-7. https://doi.org/10.1103/physreva.102.013322

Todorić, M., et al. (2020) 'Berry phase for a Bose gas on a one-dimensional ring', Physical Review A (atomic, molecular, and optical physics and quantum information), 102(1), pp. 1-7. doi: 10.1103/physreva.102.013322

Todorić M, Klajn B, Jukić D, Buljan H. Berry phase for a Bose gas on a one-dimensional ring. Physical Review A (atomic, molecular, and optical physics and quantum information) [Internet]. 2020 [cited 2024 November 18];102(1):1-7. doi: 10.1103/physreva.102.013322

M. Todorić, B. Klajn, D. Jukić and H. Buljan, "Berry phase for a Bose gas on a one-dimensional ring", Physical Review A (atomic, molecular, and optical physics and quantum information), vol. 102, no. 1, pp. 1-7, 2020. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:237:620140. [Accessed: 18 November 2024]

Metadata
Title (english)Berry phase for a Bose gas on a one-dimensional ring
AuthorMarija Todorić
AuthorBruno Klajn
AuthorDario Jukić
AuthorHrvoje Buljan
Author's institutionUniversity of Zagreb
Faculty of Civil Engineering
Scientific / art field,
discipline and subdiscipline		TECHNICAL SCIENCES
Civil Engineering
Abstract (english)
We study a system of strongly interacting one-dimensional (1D) bosons on a ring pierced by a synthetic magnetic flux tube. By the Fermi-Bose mapping, this system is related to the system of spin-polarized noninteracting electrons confined on a ring and pierced by a solenoid (magnetic flux tube). On the ring there is an external localized δ-function potential barrier, V (φ) = gδ(φ − φ0 ). We study the Berry phase associated with the adiabatic motion of the δ-function barrier around the ring as a function of the strength of the potential g and the number of particles N. The behavior of the Berry phase can be explained via quantum mechanical reflection and tunneling through the moving barrier which pushes the particles around the ring. The barrier produces a cusp in the density to which one can associate a missing charge q (missing density) for the case of electrons (bosons, respectively). We show that the Berry phase (i.e., the Aharonov-Bohm phase) cannot be identified with the quantity q/¯h A · dl. This means that the missing charge cannot be identified as a (quasi)hole. We point out the connection of this result and recent studies of synthetic anyons in noninteracting systems. In addition, for bosons we study the weakly interacting regime, which is related to the strongly interacting electrons via Fermi-Bose duality in 1D systems.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review A (atomic, molecular, and optical physics and quantum information)
Numberingvol. 102, no. 1, pp. 1-7
p-ISSN2469-9926
e-ISSN2469-9934
DOIhttps://doi.org/10.1103/physreva.102.013322
URN:NBNurn:nbn:hr:237:620140
Publication2020
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2024-09-04 11:13:52