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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

Institucijski repozitorij: Repozitorij Prirodoslovno-matematičkog fakulteta

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Lelas, K., Čelan, O., Prelogović, D., Buljan, H. i 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, br. 1, 2021. https://doi.org/10.1103/PhysRevA.103.013309

Lelas, Karlo, Ozana Čelan, David Prelogović, Hrvoje Buljan i Dario Jukić. "Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters." Physical Review A 103, br. 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. [pristupljeno 18.11.2024.];103(1). doi: 10.1103/PhysRevA.103.013309

K. Lelas, O. Čelan, D. Prelogović, H. Buljan i D. Jukić, "Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters", Physical Review A, vol. 103, br. 1, 2021. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:217:005512. [Citirano: 18.11.2024.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:217:005512
Podaci o radu
Naslov (engleski)Modulation instability in the nonlinear Schrödinger equation with a synthetic magnetic field: Gauge matters
AutorKarlo Lelas
AutorOzana Čelan
AutorDavid Prelogović
AutorHrvoje Buljan
AutorDario Jukić
Autorova ustanovaSveučilište u Zagrebu
Prirodoslovno-matematički fakultet
(Fizički odsjek)
Znanstveno / umjetničko
područje, polje i grana		PRIRODNE ZNANOSTI
Fizika
Sažetak (engleski)
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.
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. 103, br. 1, 013309
p-ISSN2469-9926
e-ISSN2469-9934
DOIhttps://doi.org/10.1103/PhysRevA.103.013309
URN:NBNurn:nbn:hr:217:005512
Datum objave publikacije2021
ProjektŠifra: IP-2016-06-5885
Naziv (hrvatski): Sintetička magnetska polja uz međudjelovanja i anyoni
Kratica: SynthMagIA
Voditelj: Hrvoje Buljan
Pravna nadležnost: Hrvatska
Financijer: HRZZ
Linija financiranja: IP
ProjektŠifra: KK.01.1.1.01.0004
Naziv (engleski): QuantiXLie Center of Excellence
Kratica: QuantiXLie
Voditelj: Hrvoje Buljan, Pavle Pandžić
Pravna nadležnost: eu
Financijer: EC
Linija financiranja: European Regional Development Fund - the Competitiveness and Cohesion Operational Programme
URL dokumentahttps://link.aps.org/doi/10.1103/PhysRevA.103.013309
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Javna napomena© 2021 American Physical Society. Received 27 March 2020; Accepted 15 December 2020; Published 12 January 2021.
Datum i vrijeme pohrane2023-08-06 18:18:43