2018
DOI: 10.1016/j.scib.2018.04.008
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Emergent symmetry at superradiance transition of a Bose condensate in two crossed beam cavities

Abstract: Recently the ETH group has reported an experiment on superradiant transition of a Bose condensate in two crossed beam cavities. The surprise is that they find that across the superradiant transition, the cavity light can be emitted in any superposition of these two cavity modes. This indicates an additional U (1) symmetry that does not exist in the full Hamiltonian. In this letter we show that this symmetry is an emergent symmetry in the vicinity of the phase transition. We identify all the necessary condition… Show more

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Cited by 11 publications
(4 citation statements)
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“…An analysis of the system in terms of a Ginzburg-Landau picture was carried out [188] including finite temperature effects and finite cavity-decay rates. The estimated non-zero effective mass of the Goldstone mode due to higher order scattering processes slightly breaks the U (1) symmetry (which is exactly restored only at the critical point [189]), giving rise to shallow minima in the Landau free-energy landscape. However, the high probability to escape these shallow minima due to the added noise from cavity losses restores the continuous symmetry.…”
Section: Coupled Order Parametersmentioning
confidence: 98%
“…An analysis of the system in terms of a Ginzburg-Landau picture was carried out [188] including finite temperature effects and finite cavity-decay rates. The estimated non-zero effective mass of the Goldstone mode due to higher order scattering processes slightly breaks the U (1) symmetry (which is exactly restored only at the critical point [189]), giving rise to shallow minima in the Landau free-energy landscape. However, the high probability to escape these shallow minima due to the added noise from cavity losses restores the continuous symmetry.…”
Section: Coupled Order Parametersmentioning
confidence: 98%
“…работы [5][6][7][8][9][10][11]). Отметим, что исследователи сверхизлучательных фазовых переходов еще не обсуждали возможность существования рассматриваемых нами сильно асимметричных когерентных состояний, возникающих в неравновесных ансамблях активных центров (см., например, [12][13][14][15][16][17][18][19][20][21]). Актуальность теоретического и экспериментального исследований подобных состояний обусловлена как фундаментальным характером связанных с ними физических явлений в открывающейся новой области лазерной физики, так и возможностями различных применений когерентного излучения активных сред в системах с низкодобротными резонаторами, добротность и асимметрия свойств которых в существенной мере определяются самой активной средой посредством полуволновой решетки инверсии населенностей активных центров.…”
Section: Introductionunclassified
“…[1][2][3] Meanwhile, it also promotes advanced development of theory and experiment regarding steady state superradiance. [4][5][6][7][8] In recent years, superradiant phase transition in multiple cavity modes has been proposed and investigated, [9][10][11][12][13] with particular interests on the phase diagram and symmetry analysis. Moreover, the dynamics of Higgs and Goldstone modes have also been observed in multiple cavity systems.…”
mentioning
confidence: 99%