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Multimode Gaussian steady-state engineering in optomechanical systems with a squeezed reservoir

Nahid Yazdi1, Stefano Zippilli1, and David Vitali1,2,3

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Phys. Rev. A 113, 053523 – Published 18 May, 2026

DOI: https://doi.org/10.1103/s2xw-djhs

Abstract

We investigate a theoretical protocol for the dissipative stabilization of mechanical quantum states in a multimode optomechanical system composed of multiple optical and mechanical modes. The scheme employs a single squeezed reservoir that drives one of the optical modes, while the remaining optical modes mediate an effective phonon-phonon interaction Hamiltonian. The interplay between these coherent interactions and the dissipation provided by the squeezed bath enables the steady-state preparation of targeted quantum states of the mechanical modes. In the absence of significant uncontrolled noise sources, the resulting dynamics closely approximate the model introduced in [Zippilli et al., Phys. Rev. Lett. 126, 020402 (2021)]. We analyze the performance of this protocol in generating mechanical cluster states defined on rectangular graphs.

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Phys. Rev. A 113, 053523– Published 18 May, 2026
  • Received 31 October 2025
  • Accepted 4 May 2026
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