Multimode cold-damping optomechanics with delayed feedback
arXiv:2006.08430 · doi:10.1103/PhysRevResearch.2.033299
Abstract
We investigate the role of time delay in cold-damping optomechanics with multiple mechanical resonances. For instantaneous electronic response, it was recently shown in \textit{Phys. Rev. Lett. \textbf{123}, 203605 (2019)}, that a single feedback loop is sufficient to simultaneously remove thermal noise from many mechanical modes. While the intrinsic delayed response of the electronics can induce single mode and mutual heating between adjacent modes, we propose to counteract such detrimental effects by introducing an additional time delay to the feedback loop. For lossy cavities and broadband feedback, we derive analytical results for the final occupancies of the mechanical modes within the formalism of quantum Langevin equations. For modes that are frequency degenerate collective effects dominate, mimicking behavior similar to Dicke super- and subradiance. These analytical results, corroborated with numerical simulations of both transient and steady state dynamics, allow to find suitable conditions and strategies for efficient single or multimode feedback optomechanics.
References in corpus (37)
- Cavity Optomechanics
- Ground-state cooling of a micromechanical oscillator: generalized framework for cold damping and cavity-assisted cooling schemes
- Cooling of a mirror by radiation pressure
- Measurement-based quantum control of mechanical motion
- Feedback cooling of a cantilever's fundamental mode below 5 mK
- Optomechanical Cooling of a Macroscopic Oscillator by Homodyne Feedback
- Measurement and control of a mechanical oscillator at its thermal decoherence rate
- Quantum many-body dynamics in optomechanical arrays
- Pulsed quantum optomechanics
- Topological Phases of Sound and Light
- Multimode circuit optomechanics near the quantum limit
- Strong coupling and long-range collective interactions in optomechanical arrays
- High-sensitivity optical monitoring of a micro-mechanical resonator with a quantum-limited optomechanical sensor
- Feedback cooling of a single trapped ion
- Cold Damping of an Optically Levitated Nanoparticle to micro-Kelvin Temperatures
- Nonreciprocal ground-state cooling of multiple mechanical resonators
- Multiple membrane cavity optomechanics
- Optimal Feedback Cooling of a Charged Levitated Nanoparticle with Adaptive Control
- Ultra-Efficient Cooling of Resonators: Beating Sideband Cooling with Quantum Control
- Feedback cooling of a room temperature mechanical oscillator close to its motional groundstate
- Enhancing sideband cooling by feedback--controlled light
- Mirror quiescence and high-sensitivity position measurements with feedback
- Two-membrane cavity optomechanics
- Reconfigurable long-range phonon dynamics in optomechanical arrays
- Partial Optomechanical Refrigeration via Multimode Cold-Damping Feedback
- Cooling of a mirror in cavity optomechanics with a chirped pulse
- Stochastic thermodynamics of Langevin systems under time-delayed feedback control: I. Second-law-like inequalities
- A controllable two-membrane-in-the-middle cavity optomechanical system
- Heat flow due to time-delayed feedback
- Quantum feedback cooling of a single trapped ion in front of a mirror
- Suspended photonic crystal membranes in AlGaAs heterostructures for integrated multi-element optomechanics
- Cavity optomechanics with feedback--controlled in--loop light
- Enhancement of three-mode optomechanical interaction by feedback-controlled light
- Stochastic thermodynamics of Langevin systems under time-delayed feedback control: II. Nonequilibrium steady-state fluctuations
- Quench Dynamics in 1D Optomechanical Arrays
- Optimal Optomechanical Coupling Strength in Multi-Membrane Systems
- Prospects of reinforcement learning for the simultaneous damping of many mechanical modes
Cited by in corpus (12)
- Multimode optomechanical cooling via general dark-mode control
- Domino cooling of a coupled mechanical-resonator chain via cold-damping feedback
- Ground-state cooling of mechanical resonators by quantum reservoir engineering
- Optical coherent feedback control of a mechanical oscillator
- Optomechanical dynamics in the - and broken--symmetric regimes
- Improving photon blockade, entanglement and mechanical-cat-state generation in a generalized cross-Kerr optomechanical circuit
- Quantum Trajectory Theory and Simulations of Nonlinear Spectra and Multi-Photon Effects in Waveguide-QED Systems with a Time-Delayed Coherent Feedback
- Accelerated ground-state cooling of an optomechanical resonator via shortcuts to adiabaticity
- Millionfold improvement in multivibration-feedback optomechanical refrigeration via auxiliary mechanical coupling
- Theory of phase-adaptive parametric cooling
- Coherent feedback control for cavity optomechanical systems with a frequency-dependent mirror
- Significant enhancement in refrigeration and entanglement in auxiliary-cavity-assisted optomechanical systems