Optomechanically induced transparency in multi-cavity optomechanical system with and without one two-level atom

Abstract

We analytically study the optomechanically induced transparency (OMIT) in the $N$-cavity system with the \textit{N}th cavity driven by pump, probing laser fields and the \textit{1}st cavity coupled to mechanical oscillator. We also consider that one atom could be trapped in the \textit{i}th cavity. Instead of only illustrating the OMIT in such a system, we are interested in how the number of OMIT windows is influenced by the cavities and the atom and what roles the atom could play in different cavities. In the resolved sideband regime, we find that, the number of cavities precisely determines the maximal number of OMIT windows. It is interesting that, when the two-level atom is trapped in the even-labeled cavity, the central absorptive peak (odd $N$) or dip (even $N$) is split and forms an extra OMIT window, but if the atom is trapped in the odd-labeled cavity, the central absorptive peak (odd $N$) or dip (even $N$) is only broadened and thus changes the width of the OMIT windows rather than induces an extra window.

10 pages, 4 figures

References in corpus (35)

• Cavity Optomechanics
• Laser cooling of a nanomechanical oscillator into its quantum ground state
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Optomechanically induced transparency
• Electromagnetically Induced Transparency and Slow Light with Optomechanics
• Quantum interface between light and atomic ensembles
• Optomechanical entanglement between a movable mirror and a cavity field
• The Electromagnetically Induced Transparency in Mechanical Effects of Light
• The photon blockade effect in optomechanical systems
• Entangling macroscopic oscillators exploiting radiation pressure
• Single-photon Optomechanics
• A short walk through quantum optomechanics
• Strong Optomechanical Squeezing of Light
• Steady state entanglement in the mechanical vibrations of two dielectric membranes
• Quantum Routing of Single Photons with Cyclic Three-Level System
• Coherent mixing of mechanical excitations in nano-optomechanical structures
• Precision measurement of charge number with optomechanically induced transparency
• Single-photon cavity optomechanics mediated by a quantum two-level system
• Optomechanically Induced Transparency in the Nonlinear Quantum Regime
• Optomechanical analog of two-color electromagnetically-induced transparency: Photon transmission through an optomechanical device with a two-level system
• Cavity optomechanical coupling assisted by an atomic gas
• Realization of an optomechanical interface between ultracold atoms and a membrane
• Entangling two macroscopic mechanical mirrors in a two-cavity optomechanical system
• Trapping and Cooling a mirror to its quantum mechanical ground state
• Single-photon router: Coherent Control of multi-channel scattering for single-photons with quantum interferences
• Signatures of nonlinear cavity optomechanics in the weak coupling regime
• Nonlinear interaction effects in a strongly driven optomechanical cavity
• Micro-mechanical oscillator ground state cooling via intracavity optical atomic excitations
• Phonon mediated electromagnetically induced absorption in hybrid opto-electro mechanical systems
• A "Single-Photon" Transistor in Circuit Quantum Electrodynamics
• Single-photon optomechanics in the strong coupling regime
• Electromagnetically Induced Transparency with Quantized Fields in Optocavity Mechanics
• Optical Lattices with Micromechanical Mirrors
• Tunable linear and quadratic optomechanical coupling for a tilted membrane within an optical cavity: theory and experiment
• Electromagnetically induced transparency and optical memories in an optomechanical system with $N$ membranes