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Floquet approach to bichromatically driven cavity-optomechanical systems

Accepted version
Peer-reviewed

Type

Article

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Authors

Abstract

We develop a Floquet approach to solve time-periodic quantum Langevin equations in steady state. We show that two-time correlation functions of system operators can be expanded in a Fourier series and that a generalized Wiener-Khinchin theorem relates the Fourier transform of their zeroth Fourier component to the measured spectrum. We apply our framework to bichromatically driven cavity optomechanical systems, a setting in which mechanical oscillators have recently been prepared in quantum-squeezed states. Our method provides an intuitive way to calculate the power spectral densities for time-periodic quantum Langevin equations in arbitrary rotating frames.

Description

Keywords

cond-mat.mes-hall, cond-mat.mes-hall, quant-ph

Journal Title

Physical Review A

Conference Name

Journal ISSN

2469-9926
2469-9934

Volume Title

94

Publisher

American Physical Society (APS)
Sponsorship
The Royal Society (uf130303)
EPSRC (1642448)
Engineering and Physical Sciences Research Council (EP/M506485/1)
A.N. holds a University Research Fellowship from the Royal Society and acknowledges additional support from the Winton Programme for the Physics of Sustainability. D.M. acknowledges support by the UK Engineering and Physical Sciences Research Council (EPSRC) under Grant No. EP/M506485/1.