Floquet approach to bichromatically driven cavity-optomechanical systems
Physical Review A
American Physical Society
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Malz, D., & Nunnenkamp, A. (2016). Floquet approach to bichromatically driven cavity-optomechanical systems. Physical Review A, 94 (023803)https://doi.org/10.1103/PhysRevA.94.023803
We develop a Floquet approach to solve time-periodic quantum Langevin equations in the 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.
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.
The Royal Society (uf130303)
External DOI: https://doi.org/10.1103/PhysRevA.94.023803
This record's URL: https://www.repository.cam.ac.uk/handle/1810/257363