Abstract

In contrast to the optomechanically induced transparency (OMIT) defined conventionally, the inverse OMIT behaves as coherent absorption of the input lights in the optomechanical systems. We characterize a feasible inverse OMIT in a multi-channel fashion with a double-sided optomechanical cavity system coupled to a nearby charged nanomechanical resonator via Coulomb interaction, where two counter-propagating probe lights can be absorbed via one of the channels or even via three channels simultaneously with the assistance of a strong pump light. Under realistic conditions, we demonstrate the experimental feasibility of our model by considering two slightly different nanomechanical resonators and the possibility of detecting the energy dissipation of the system. In particular, we find that our model turns to be a unilateral inverse OMIT once the two probe lights are different with a relative phase, and in this case the relative phase can be detected precisely.

Highlights

  • Induced transparency (EIT) [1] is caused by quantum interference, creating a narrow transmission window within an absorption line

  • One of the outstanding works is for an inverse optomechanically induced transparency (OMIT) [44] in an optomechanical cavity, i.e., an optomechanical resonator inside a single-mode cavity, which shows that, when two weak counter-propagating probe lights within the narrow transmission window of the OMIT are injected simultaneously, neither of the probe lights can be output from the cavity due to complete absorption by the optomechanics

  • Our study shows that this unilateral inverse OMIT could be applied to precision measurement of the relative phase between two probe lights

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Summary

Introduction

Induced transparency (EIT) [1] is caused by quantum interference, creating a narrow transmission window within an absorption line. One of the outstanding works is for an inverse OMIT [44] in an optomechanical cavity, i.e., an optomechanical resonator inside a single-mode cavity, which shows that, when two weak counter-propagating probe lights within the narrow transmission window of the OMIT are injected simultaneously, neither of the probe lights can be output from the cavity due to complete absorption by the optomechanics This effect is named to be the coherent perfect absorption and has been stretched to two optomechanical cavities coupled to an optomechanical resonator [45], showing the prospective for coherent perfect transmission and beyond. It can be applied to different kinds of charged objects at different frequencies [51] These advantages remind us of the necessity to explore a multi-channel inverse OMIT in the optomechanical system with the tunable Coulomb interaction. A brief conclusion can be found in the last section

The model and solution
The inverse OMIT
Discussion
The energy distribution
Measurement of the relative phase in a unilateral inverse OMIT
The experimental feasibility
Conclusion
Full Text
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