Mechanical<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi mathvariant="script">PT</mml:mi></mml:math>symmetry in coupled optomechanical systems

TLDR

The study proposes realizing mechanical PT symmetry in two coupled optomechanical systems and investigates how quantum noise influences their dynamical behavior. The authors achieve PT symmetry by driving one resonator with a blue‑detuned laser to provide gain and the other with a red‑detuned laser for damping, then adiabatically eliminating cavity modes to derive a PT‑symmetry formula. The dynamical behavior of the resonators demonstrates a mechanical PT‑symmetric phase transition.

Abstract

We propose to realize mechanical parity-time PT symmetry in two coupled optomechanical systems. To provide gain to one mechanical resonator and the same amount of damping to the other, the two optical cavities should be driven by blue- and red-detuned laser fields, respectively. After adiabatically eliminating the degrees of freedom of the cavity modes, we derive a formula to describe the PT symmetry of two coupled mechanical resonators. Mechanical PT-symmetric phase transition is demonstrated by the dynamical behavior of the mechanical resonators. Moreover, we study the effect of the quantum noises on the dynamical behavior of the mechanical resonators when the system is in the quantum regime.