# Cavity assisted single- and two-mode spin-squeezed states via phase-locked atom-photon coupling

## TL;DR

This paper presents a robust scheme for generating high-quality single- and two-mode spin-squeezed states inside optical cavities using phase-locked atom-photon interactions, outperforming traditional methods.

## Contribution

It introduces a novel cavity-based approach to realize two-axis counter-twisting Hamiltonian for enhanced spin squeezing, extendable to two coupled cavities.

## Key findings

- Achieves higher spin squeezing than one-axis twisting.
- Demonstrates robustness against cavity loss and spontaneous emission.
- Shows feasibility with current experimental technologies.

## Abstract

We propose a scheme to realize the two-axis counter-twisting spin-squeezing Hamiltonian inside an optical cavity with the aid of phase-locked atom-photon coupling. By careful analysis and extensive simulation, we demonstrate that our scheme is robust against dissipation caused by cavity loss and atomic spontaneous emission, and it can achieve significantly higher squeezing than one axis twisting. We further show how our idea can be extended to generate two-mode spin-squeezed states in two coupled cavities. Due to its easy implementation and high tunability, our scheme is experimentally realizable with current technologies.