# Superposition of macroscopically squeezed states with enhanced squeezing in cavity optomechanical system at single-photon level

## TL;DR

This paper presents a method to generate superposed macroscopically squeezed states with significantly enhanced squeezing in a cavity optomechanical system at the single-photon level, using sinusoidal modulation of system parameters.

## Contribution

It introduces a novel approach to produce highly squeezed superposed states in optomechanics via parameter modulation, achieving over 12 dB squeezing with robustness to environmental noise.

## Key findings

- Achieved 12.16 dB squeezing with single photon.
- Demonstrated interference fringes indicating superposition.
- Showed robustness against environmental fluctuations.

## Abstract

We propose an efficient approach to generate the superposed macroscopically squeezed states with enhanced squeezing in a two-mode optomechanical system. This can be achieved by introducing a sinusoidal modulation to either the cavity frequencies or the coupling strengths between two cavity modes. The squeezement of the oscillator can be significantly enhanced to 12.16 dB with single photon, once the relative ratio of coupling strength is optimized under proper conditions. Further enhanced squeezing can be obtained by carefully adjusting the system parameters. In terms of the Wigner quasi-probability distribution, we show the squeezed error ellipses and interference fringes of the Yurke-Stoler-type squeezed states, denoting the squeezing and superposition properties. Our state generation scheme show reliable performance and robust resistance to finite environmental fluctuations, which implies applications for both fundamental interest and practical value.