# Verifying cross-Kerr induced number squeezing: a case study

## TL;DR

This paper investigates the feasibility of generating number-squeezed states via cross-Kerr interactions, analyzing effects of imperfections, and demonstrating potential for experimental realization and applications in optomechanics.

## Contribution

It provides a detailed analysis of creating nonclassical states through cross-Kerr interactions considering realistic imperfections and proposes practical parameters for experimental demonstration.

## Key findings

- Optimal parameters enable proof-of-principle number squeezing with large photon numbers.
- Imperfections like loss and noise are manageable within certain parameter regimes.
- States approximating superpositions like (|0> + |20>) can be generated and utilized.

## Abstract

We analyze an experimental method for creating interesting nonclassical states by processing the entanglement generated when two large coherent states interact in a cross-Kerr medium. We specifically investigate the effects of loss and noise in every mode of the experiment, as well as the effect of "binning" the post-selection outcomes. Even with these imperfections, we find an optimal set of currently-achievable parameters which would allow a proof-of-principle demonstration of number squeezing in states with large mean photon number. We discuss other useful states which can be generated with the same experimental tools, including a class of states which contain coherent superpositions of differing photon numbers, e.g. good approximations to the state $\frac{1}{\sqrt{2}} (|0\rangle+|20\rangle)$. Finally, we suggest one possible application of this state in the field of optomechanics.