Dissipation-driven two-mode mechanical squeezed states in optomechanical systems

TLDR

These proposals can be realized in a number of optomechanical systems with current state‑of‑the‑art experimental techniques. The paper proposes two quantum optomechanical arrangements that enable dissipation‑driven generation of steady two‑mode mechanical squeezed states. The authors design two setups—one with oscillators in a two‑mode resonator and another with oscillators in coupled single‑mode cavities—to use cavity dissipation for generating the squeezed states. Analytical results demonstrate that, with suitable pump parameters and negligible mechanical damping, cavity dissipation drives the oscillators into a stationary two‑mode squeezed vacuum, and thermal fluctuations do not require ground‑state precooling.

Abstract

In this paper, we propose two quantum optomechanical arrangements that permit the dissipation-enabled generation of steady two-mode mechanical squeezed states. In the first setup, the mechanical oscillators are placed in a two-mode optical resonator while in the second setup the mechanical oscillators are located in two coupled single-mode cavities. We show analytically that for an appropriate choice of the pump parameters, the two mechanical oscillators can be driven by cavity dissipation into a stationary two-mode squeezed vacuum, provided that mechanical damping is negligible. The effect of thermal fluctuations is also investigated in detail and shows that ground-state precooling of the oscillators is not necessary for the two-mode squeezing. These proposals can be realized in a number of optomechanical systems with current state-of-the-art experimental techniques.