Quantum noise spectra for periodically-driven cavity optomechanics

Abstract

A growing number of experimental set-ups in cavity optomechanics exploit periodically driven fields. However, such set-ups are not amenable to analysis using simple, yet powerful, closed-form expressions of linearized optomechanics, which have provided so much of our present understanding of experimental optomechanics. In the present paper, we formulate a new method to calculate quantum noise spectra in modulated optomechanical systems, which we analyze, compare, and discuss with two other recently proposed solutions: we term these (i) frequency-shifted operators (ii) Floquet and (iii) iterative analysis. We prove that (i) and (ii) yield equivalent noise spectra, and find that (iii) is an analytical approximation to (i) for weak modulations. We calculate the noise spectra of a doubly-modulated system describing experiments of levitated particles in hybrid electro-optical traps. We show excellent agreement with Langevin stochastic simulations in the thermal regime and predict squeezing in the quantum regime. Finally, we reveal how experimentally inaccessible spectral components of a modulated system can be measured in heterodyne detection through an appropriate choice of modulation frequencies.

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Cited by in corpus (8)

• Non-Hermitian chiral phononics through optomechanically-induced squeezing
• Quantum displacement sensing and cooling in 3D levitated cavity optomechanics
• Periodically-driven facilitated high-efficiency dissipative entanglement with Rydberg atoms
• Floquet dynamics in quantum measurement of mechanical motion
• Floquet theory for temporal correlations and spectra in time-periodic open quantum systems: Application to squeezed parametric oscillation beyond the rotating-wave approximation
• Combining Floquet and Lyapunov techniques for time-dependent problems in optomechanics and electromechanics
• Quantum noise detects Floquet topological phases
• Stochastic Langevin propagation for classical and quantum optomechanics