# Squeezed States of Coupled Photons and Phonons in Nanoscale Waveguides

## TL;DR

This paper explores how stimulated Brillouin scattering in nanoscale waveguides can generate entangled photon-phonon states with squeezing properties, enabling controllable single phonon sources.

## Contribution

It derives a squeezing Hamiltonian from photon-phonon interactions and analyzes the resulting eigenstates' properties in nanoscale waveguides.

## Key findings

- Eigenstates exhibit quadrature squeezing.
- Photon measurement enables on-demand single phonon generation.
- Theoretical framework for photon-phonon entanglement in waveguides.

## Abstract

We investigate the generation of photon-phonon entangled states by exploiting stimulated Brillouin scattering in nanoscale waveguides. The squeezing type Hamiltonian that represents creation and annihilation of photon-phonon pairs is obtained out of the multimode photon-phonon interaction Hamiltonian in the presence of a pump field. The Bogoliubov eigenstates of the Hamiltonian, which are a coherent mix of propagating photons and phonons, show squeezing properties in the uncertainties of the collective quadrature operators. The measurement of the photonic component can provide a controllable source of single phonons in demand.