# Enhancement of few-photon optomechanical effects with cross-Kerr nonlinearity

## TL;DR

This paper explores how cross-Kerr nonlinearity enhances few-photon optomechanical effects like photon blockade and Schrödinger cat state generation, providing insights into quantum interactions and potential applications in quantum technology.

## Contribution

It introduces a generalized optomechanical model with cross-Kerr interaction and analyzes how this nonlinear coupling enhances photon blockade and mechanical quantum states.

## Key findings

- Enhanced photon blockade due to cross-Kerr interaction
- Generation of Schrödinger cat states in the system
- Impact of dissipation on quantum effects

## Abstract

Few-photon optomechanical effects are not only important physical evidences for understanding the radiation-pressure interaction between photons and mechanical oscillation, but also have wide potential applications in modern quantum technology. Here we study the few-photon optomechanical effects including photon blockade and generation of the Schr\"{o}dinger cat states under the assistance of a cross-Kerr interaction, which is an inherent interaction accompanied the optomechanical coupling in a generalized optomechanical system. By exactly diagonalizing the generalized optomechanical Hamiltonian and calculating its unitary evolution operator, we find the physical mechanism of the enhancement of photon blockade and single-photon mechanical displacement. The quantum properties in this generalized optomechanical system are studied by investigating the second-order correlation function of the cavity field and calculating the Wigner function and the probability distribution of the rotated quadrature operator for the mechanical mode. We also study the influence of the dissipations on the few-photon optomechanical effects.