Non-classical non-Gaussian state of a mechanical resonator via selectively incoherent damping in three-mode optomechanical systems

TL;DR

This paper proposes a theoretical scheme to generate non-Gaussian, sub-Poissonian motional states in a mechanical resonator using a three-mode optomechanical system with engineered interactions, expanding quantum state control.

Contribution

It introduces a novel method for preparing non-Gaussian mechanical states via selective incoherent damping in a three-mode optomechanical setup.

Findings

Successfully engineered Liouvillian superoperator for state preparation

Generated non-Gaussian states with positive Wigner function

Achieved sub-Poissonian statistics in mechanical resonator

Abstract

We theoretically propose a scheme for the generation of a non-classical single-mode motional state of a mechanical resonator (MR) in the three-mode optomechanical systems, in which two optical modes of the cavities are linearly coupled to each other and one mechanical mode of the MR is optomechanically coupled to the two optical modes with the same coupling strength simultaneously. One cavity is driven by a coherent laser light. By properly tuning the frequency of the weak driving field, we obtain engineered Liouvillian superoperator via engineering the selective interaction Hamiltonian confined to the Fock subspaces. In this case, the motional state of the MR can be prepared into a non-Gaussian state, which possesses the sub-Poisson statistics although its Wigner function is positive.