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Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation

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Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation

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dc.contributor.author	Navarrete Benlloch, Carlos
dc.contributor.author	Garcés, Rafael
dc.contributor.author	Mohseni, N.
dc.contributor.author	Valcárcel Gonzalvo, Germán J. de
dc.date.accessioned	2023-03-30T11:07:24Z
dc.date.available	2023-03-30T11:07:24Z
dc.date.issued	2021
dc.identifier.citation	Navarrete Benlloch, Carlos Garcés, Rafael Mohseni, N. Valcárcel Gonzalvo, Germán J. de 2021 Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation Physical Review a 103 023713-1 023713-14
dc.identifier.uri	https://hdl.handle.net/10550/85981
dc.description.abstract	Open quantum systems can display periodic dynamics at the classical level either due to external periodic modulations or to self-pulsing phenomena typically following a Hopf bifurcation. In both cases, the quantum fluctuations around classical solutions do not reach a quantum-statistical stationary state, which prevents adopting the simple and reliable methods used for stationary quantum systems. Here we put forward a general and efficient method to compute two-time correlations and corresponding spectral densities of time-periodic open quantum systems within the usual linearized (Gaussian) approximation for their dynamics. Using Floquet theory, we show how the quantum Langevin equations for the fluctuations can be efficiently integrated by partitioning the time domain into one-period duration intervals, and relating the properties of each period to the first one. Spectral densities, like squeezing spectra, are computed similarly, now in a two-dimensional temporal domain that is treated as a chessboard with one-period x one-period cells. This technique avoids cumulative numerical errors as well as efficiently saving computational time. As an illustration of the method, we analyze the quantum fluctuations of a damped parametrically driven oscillator (degenerate parametric oscillator) below threshold and far away from rotating-wave approximation conditions, which is a relevant scenario for modern low-frequency quantum oscillators. Our method reveals that the squeezing properties of such devices are quite robust against the amplitude of the modulation or the low quality of the oscillator, although optimal squeezing can appear for parameters that are far from the ones predicted within the rotating-wave approximation.
dc.language.iso	eng
dc.relation.ispartof	Physical Review a, 2021, vol. 103, p. 023713-1-023713-14
dc.subject	Física
dc.subject	Òptica
dc.subject	Optometria
dc.subject	Visió
dc.title	Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
dc.type	journal article	es_ES
dc.date.updated	2023-03-30T11:07:25Z
dc.identifier.doi	10.1103/PhysRevA.103.023713
dc.identifier.idgrec	157211
dc.rights.accessRights	open access	es_ES