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General Linearized Theory of Quantum Fluctuations around Arbitrary Limit Cycles

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General Linearized Theory of Quantum Fluctuations around Arbitrary Limit Cycles

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dc.contributor.author Navarrete Benlloch, Carlos
dc.contributor.author Weiss, T.
dc.contributor.author Walter, S.
dc.contributor.author Valcárcel Gonzalvo, Germán J. de
dc.date.accessioned 2018-05-02T13:22:22Z
dc.date.available 2018-05-02T13:22:22Z
dc.date.issued 2017
dc.identifier.citation Navarrete-Benlloch, C. Weiss, T. Walter, S. Valcárcel Gonzalbo, German J. de 2017 General Linearized Theory of Quantum Fluctuations around Arbitrary Limit Cycles Physical Review Letters 119 13 133601-1 133601-6
dc.identifier.uri http://hdl.handle.net/10550/65970
dc.description.abstract The theory of Gaussian quantum fluctuations around classical steady states in nonlinear quantum-optical systems (also known as standard linearization) is a cornerstone for the analysis of such systems. Its simplicity, together with its accuracy far from critical points or situations where the nonlinearity reaches the strong coupling regime, has turned it into a widespread technique, being the first method of choice in most works on the subject. However, such a technique finds strong practical and conceptual complications when one tries to apply it to situations in which the classical long-time solution is time dependent, a most prominent example being spontaneous limit-cycle formation. Here, we introduce a linearization scheme adapted to such situations, using the driven Van der Pol oscillator as a test bed for the method, which allows us to compare it with full numerical simulations. On a conceptual level, the scheme relies on the connection between the emergence of limit cycles and the spontaneous breaking of the symmetry under temporal translations. On the practical side, the method keeps the simplicity and linear scaling with the size of the problem (number of modes) characteristic of standard linearization, making it applicable to large (many-body) systems.
dc.language.iso eng
dc.relation.ispartof Physical Review Letters, 2017, vol. 119, num. 13, p. 133601-1-133601-6
dc.subject Òptica quàntica
dc.title General Linearized Theory of Quantum Fluctuations around Arbitrary Limit Cycles
dc.type journal article es_ES
dc.date.updated 2018-05-02T13:22:23Z
dc.identifier.doi 10.1103/PhysRevLett.119.133601
dc.identifier.idgrec 124145
dc.rights.accessRights open access es_ES

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