Abstract

Radiation pressure forces in cavity optomechanics allow for efficient cooling of vibrational modes of macroscopic mechanical resonators, the manipulation of their quantum states, as well as generation of optomechanical entanglement. The standard mechanism relies on the cavity photons directly modifying the state of the mechanical resonator. Hybrid cavity optomechanics provides an alternative approach by coupling mechanical objects to quantum emitters, either directly or indirectly via the common interaction with a cavity field mode. While many approaches exist, they typically share a simple effective description in terms of a single force acting on the mechanical resonator. More generally, one can study the interplay between various forces acting on the mechanical resonator in such hybrid mechanical devices. This interplay can lead to interference effects that may, for instance, improve cooling of the mechanical motion or lead to generation of entanglement between various parts of the hybrid device. Here, we provide such an example of a hybrid optomechanical system where an ensemble of quantum emitters is embedded into the mechanical resonator formed by a vibrating membrane. The interference between the radiation pressure force and the mechanically modulated Tavis–Cummings interaction leads to enhanced cooling dynamics in regimes in which neither force is efficient by itself. Our results pave the way towards engineering novel optomechanical interactions in hybrid optomechanical systems.

Highlights

  • The decay rate of a quantum emitter placed in an optical resonator can be strongly modified from its bare free space value

  • II, we introduce the full model of N quantum emitters interacting with a cavity field both within the master equation formalism as well as quantum Langevin equations (QLEs)

  • We have followed a quantum Langevin equations approach to the input-output problem of an optical cavity containing an ensemble of N coupled quantum emitters

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Summary

INTRODUCTION

The decay rate of a quantum emitter placed in an optical resonator can be strongly modified from its bare free space value. Experimental and theoretical efforts on the collective strong coupling with organic molecules have shown strong modifications of energy and charge transport [6,7,8,9,10], Forster resonance energy transfer [11, 12], chemical reaction rates [13, 14], etc It has been recently predicted [15] that the collective dynamics of N interacting quantum emitters in the bad cavity regime exhibits a scaling of the cooperativity with the emitter number N beyond the expected linear one.

CAVITY DYNAMICS OF COUPLED QUANTUM EMITTERS
SINGLE-EMITTER ANTIRESONANCE SPECTROSCOPY
Regimes of interaction
Antiresonance
Intracavity steady state
Output fields
Time-integrated signal detection
Classical signal
Fluctuation correlation matrix of the detected field
Second-order correlation function of the photon number
FREE SPACE COLLECTIVE DYNAMICS
SPECTROSCOPY OF THE COLLECTIVE PURCELL EFFECT
Subradiant enhancement of cavity-emitter cooperativity
Nonclassical collective effects in detected fields
Collective nonlinear effects
CONCLUSIONS
COLLECTIVE NOISE IN QUANTUM LANGEVIN EQUATIONS
VIII. STEADY-STATE LYAPUNOV EQUATION
Output spectrum
Time-integrated correlations
Resolving four-point correlations
FREE SPACE SPATIAL FIELD DISTRIBUTION
CORRELATION MATRIX FOR MANY EMITTERS
NONLINEAR CORRECTION
Full Text
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