Berry phase for a Bose gas on a one-dimensional ring

Scientific paper - Original scientific paper

• Author: Marija Todorić
• Author: Bruno Klajn
• Author: Dario Jukić
• Author: Hrvoje Buljan
• Author's institution: University of Zagreb; Faculty of Science; (Department of Physics)
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Physics

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): phases: geometric; dynamic or topological
• Language: english
• Publication type: Scientific paper - Original scientific paper
• Publication status: Published
• Peer review: Peer review - international
• Publication version: Published version
• Journal title: Physical Review A
• Numbering: vol. 102, no. 1, 013322
• p-ISSN: 2469-9926
• e-ISSN: 2469-9934
• DOI: https://doi.org/10.1103/physreva.102.013322
• URN:NBN: urn:nbn:hr:217:160280
• Publication: 2020
• Project: Number: IP-2016-06-5885; Title (croatian): Sintetička magnetska polja uz međudjelovanja i anyoni; Acronym: SynthMagIA; Leader: Hrvoje Buljan; Jurisdiction: Croatia; Funding stream: IP
• Project: Number: KK.01.1.1.01.0004; Title (croatian): Provedba vrhunskih istraživanja u sklopu Znanstvenog centra izvrsnosti za kvantne i kompleksne sustave te reprezentacije Liejevih algebri; Acronym: ZCI QuantiXLie; Leader: Hrvoje Buljan; Jurisdiction: Croatia; Funding stream: ZC
• Document URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.102.013322
• Type of resource: Text
• Access conditions: Open access
• Public note: © 2020 American Physical Society. Received 5 March 2020. Accepted 22 June 2020. Published 23 July 2020.
• Created on: 2020-09-18 15:27:17