Nonlinear symmetry breaking of Aharonov-Bohm cages
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2019
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© 2019 American Physical Society
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We study the influence of mean-field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities, the Aharonov-Bohm caging persists as periodic nonlinear breathing dynamics. Above a critical nonlinearity, symmetry breaking induces a sharp transition in the dynamics and enables stronger wave-packet spreading. This transition is distinct from other flatband networks, where continuous spreading is induced by effective nonlinear hopping or resonances with delocalized modes and is in contrast to the quantum limit, where two-particle hopping enables arbitrarily large spreading. This nonlinear symmetry-breaking transition is readily observable in femtosecond laser-written waveguide arrays. © 2019 American Physical Society.
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Physical Review A, 2019, 99, 1, 013826-Funding / projects:
- Photonics of micro and nano structured materials (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-45010)
- Institute for Basic Science in Korea (IBS-R024-Y1)
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- Pre-print version available at: http://vinar.vin.bg.ac.rs/handle/123456789/8039
DOI: 10.1103/PhysRevA.99.013826
ISSN: 2469-9926
WoS: 000455814100009
Scopus: 2-s2.0-85060184484
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https://link.aps.org/doi/10.1103/PhysRevA.99.013826https://vinar.vin.bg.ac.rs/handle/123456789/8035
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VinčaTY - JOUR AU - Gligorić, Goran AU - Beličev, Petra AU - Leykam, Daniel AU - Maluckov, Aleksandra PY - 2019 UR - https://link.aps.org/doi/10.1103/PhysRevA.99.013826 UR - https://vinar.vin.bg.ac.rs/handle/123456789/8035 AB - We study the influence of mean-field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities, the Aharonov-Bohm caging persists as periodic nonlinear breathing dynamics. Above a critical nonlinearity, symmetry breaking induces a sharp transition in the dynamics and enables stronger wave-packet spreading. This transition is distinct from other flatband networks, where continuous spreading is induced by effective nonlinear hopping or resonances with delocalized modes and is in contrast to the quantum limit, where two-particle hopping enables arbitrarily large spreading. This nonlinear symmetry-breaking transition is readily observable in femtosecond laser-written waveguide arrays. © 2019 American Physical Society. T2 - Physical Review A T1 - Nonlinear symmetry breaking of Aharonov-Bohm cages VL - 99 IS - 1 SP - 013826 DO - 10.1103/PhysRevA.99.013826 ER -
@article{ author = "Gligorić, Goran and Beličev, Petra and Leykam, Daniel and Maluckov, Aleksandra", year = "2019", abstract = "We study the influence of mean-field cubic nonlinearity on Aharonov-Bohm caging in a diamond lattice with synthetic magnetic flux. For sufficiently weak nonlinearities, the Aharonov-Bohm caging persists as periodic nonlinear breathing dynamics. Above a critical nonlinearity, symmetry breaking induces a sharp transition in the dynamics and enables stronger wave-packet spreading. This transition is distinct from other flatband networks, where continuous spreading is induced by effective nonlinear hopping or resonances with delocalized modes and is in contrast to the quantum limit, where two-particle hopping enables arbitrarily large spreading. This nonlinear symmetry-breaking transition is readily observable in femtosecond laser-written waveguide arrays. © 2019 American Physical Society.", journal = "Physical Review A", title = "Nonlinear symmetry breaking of Aharonov-Bohm cages", volume = "99", number = "1", pages = "013826", doi = "10.1103/PhysRevA.99.013826" }
Gligorić, G., Beličev, P., Leykam, D.,& Maluckov, A.. (2019). Nonlinear symmetry breaking of Aharonov-Bohm cages. in Physical Review A, 99(1), 013826. https://doi.org/10.1103/PhysRevA.99.013826
Gligorić G, Beličev P, Leykam D, Maluckov A. Nonlinear symmetry breaking of Aharonov-Bohm cages. in Physical Review A. 2019;99(1):013826. doi:10.1103/PhysRevA.99.013826 .
Gligorić, Goran, Beličev, Petra, Leykam, Daniel, Maluckov, Aleksandra, "Nonlinear symmetry breaking of Aharonov-Bohm cages" in Physical Review A, 99, no. 1 (2019):013826, https://doi.org/10.1103/PhysRevA.99.013826 . .