Quantum coherent control in pulsed waveguide optomechanics

TL;DR

This paper develops a dynamic Hamiltonian formalism for pulsed waveguide optomechanics, enabling coherent control and quantum information processing in waveguides, and demonstrates the feasibility of strong coupling and various quantum experiments.

Contribution

It introduces a new formalism linking waveguide and cavity optomechanics in the dynamic regime using optical pulses, applicable to classical and quantum regimes.

Findings

Strong coupling regime is accessible with current Brillouin waveguides using pulses.

Provides a closed-form solution for coupled-mode equations under the undepleted pump approximation.

Proposes experimental schemes for coherent transfer, cooling, and entanglement in waveguide optomechanics.

Abstract

Coherent control of traveling acoustic excitations in a waveguide system is an interesting way to manipulate and transduce classical and quantum information. So far, these interactions, often based on optomechanical resonators or Brillouin scattering, have been studied in the steady-state regime using continuous waves. However, waveguide experiments are often based on optical pump pulses which require treatment in a dynamic framework. In this paper, we present an effective Hamiltonian formalism in the dynamic regime using optical pulses that links waveguide optomechanics and cavity optomechanics, which can be used in the classical and quantum regime including quantum noise. Based on our formalism, a closed solution for coupled-mode equation under the undepleted assumption is provided and we found that the strong coupling regime is already accessible in current Brillouin waveguides by using pulses. We further investigate several possible experiments within waveguide optomechanics, including Brillouin-based coherent transfer, Brillouin cooling, and optoacoustic entanglement.