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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

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.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.rights.uri	info:eu-repo/semantics/openAccess
dc.source	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.subject	Òptica quàntica
dc.title	General Linearized Theory of Quantum Fluctuations around Arbitrary Limit Cycles
dc.type	info:eu-repo/semantics/article
dc.date.updated	2018-05-02T13:22:23Z
dc.identifier.doi	https://doi.org/10.1103/PhysRevLett.119.133601
dc.identifier.idgrec	124145