prikaz prve stranice dokumenta Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters
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Scientific paper - Original scientific paper
Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters
Physical Review A, 103 (2021), 1; 013309. https://doi.org/10.1103/PhysRevA.103.013309
Lelas, Karlo; Čelan, Ozana; Prelogović, David; Buljan, Hrvoje; Jukić, Dario

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Lelas, K., Čelan, O., Prelogović, D., Buljan, H. & Jukić, D. (2021). Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters. Physical Review A, 103. (1). doi: 10.1103/PhysRevA.103.013309

Lelas, Karlo, et al. "Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters." Physical Review A, vol. 103, no. 1, 2021. https://doi.org/10.1103/PhysRevA.103.013309

Lelas, Karlo, Ozana Čelan, David Prelogović, Hrvoje Buljan and Dario Jukić. "Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters." Physical Review A 103, no. 1 (2021). https://doi.org/10.1103/PhysRevA.103.013309

Lelas, K., et al. (2021) 'Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters', Physical Review A, 103(1). doi: 10.1103/PhysRevA.103.013309

Lelas K, Čelan O, Prelogović D, Buljan H, Jukić D. Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters. Physical Review A [Internet]. 2021 [cited 2024 December 20];103(1). doi: 10.1103/PhysRevA.103.013309

K. Lelas, O. Čelan, D. Prelogović, H. Buljan and D. Jukić, "Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters", Physical Review A, vol. 103, no. 1, 2021. [Online]. Available at: https://urn.nsk.hr/urn:nbn:hr:217:005512. [Accessed: 20 December 2024]

Metadata
Title (english)Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters
AuthorKarlo Lelas
AuthorOzana Čelan
AuthorDavid Prelogović
AuthorHrvoje Buljan
AuthorDario Jukić
Author's institutionUniversity of Zagreb
Faculty of Science
(Department of Physics)
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Physics
Abstract (english)
We theoretically investigate the phenomenon of modulation instability for systems obeying the nonlinear Schrödinger equation, which are under the influence of an external homogeneous synthetic magnetic field. For an initial condition, the instability is detected numerically by comparing dynamics with and without a small initial perturbation ; the perturbations are characterized in a standard fashion by wave vectors in momentum space. We demonstrate that the region of (in)stability in momentum space, as well as time evolution in real space, for identical initial conditions, depend on the choice of the gauge (i.e., vector potential) used to describe the homogeneous synthetic magnetic field. This superficially appears as if the gauge invariance is broken, but this is not true. When the system is evolved from an identical initial condition in two different gauges, it is equivalent to suddenly turning on the synthetic magnetic field at t=0. This gives rise, via Faraday's law, to an initial instantaneous kick of a synthetic electric field to the wave packet, which can differ for gauges yielding an identical uniform magnetic field for t>0.
Keywords (english)
Languageenglish
Publication typeScientific paper - Original scientific paper
Publication statusPublished
Peer reviewPeer review - international
Publication versionPublished version
Journal titlePhysical Review A
Numberingvol. 103, no. 1, 013309
p-ISSN2469-9926
e-ISSN2469-9934
DOIhttps://doi.org/10.1103/PhysRevA.103.013309
URN:NBNurn:nbn:hr:217:005512
Publication2021
ProjectNumber: IP-2016-06-5885
Title (croatian): Sintetička magnetska polja uz međudjelovanja i anyoni
Acronym: SynthMagIA
Leader: Hrvoje Buljan
Jurisdiction: Croatia
Funding stream: IP
ProjectNumber: KK.01.1.1.01.0004
Title (english): QuantiXLie Center of Excellence
Acronym: QuantiXLie
Leader: Hrvoje Buljan, Pavle Pandžić
Jurisdiction: eu
Funding stream: European Regional Development Fund - the Competitiveness and Cohesion Operational Programme
Document URLhttps://link.aps.org/doi/10.1103/PhysRevA.103.013309
Type of resourceText
Access conditionsOpen access
Terms of useLicence In copyright icon
Public note© 2021 American Physical Society. Received 27 March 2020; Accepted 15 December 2020; Published 12 January 2021.
Created on2023-08-06 18:18:43