Realization and application of parity-time-symmetric oscillators in quantum regime

TL;DR

This paper proposes a theoretical scheme to realize full quantum parity-time symmetry in oscillators using dissipation cavities, enabling quantum regime applications like enhanced optomechanical transparency and non-classical state preservation.

Contribution

It introduces a novel quantum scheme for PT-symmetric oscillators with quantum gain, extending PT-symmetry from semi-classical to full quantum regimes.

Findings

Effective master equation reveals quantum behaviors of PT-symmetric oscillators.

PT-symmetry can suppress dissipation effects in quantum systems.

Applications include enhanced optomechanical transparency and non-classical state preservation.

Abstract

Although people have already artificially formed parity--time ($\mathcal{PT}$) symmetry with gain and loss in a balanced manner, it is still a defect that the gain is restricted to semi--classical but not full quantum. Here we propose and analyze a theoretical scheme to realize full quantum oscillator $\mathcal{PT}$--symmetry. The quantum gain is provided by a dissipation optical cavity with blue detuned laser field. After adiabatically eliminating the cavity modes, we give an effective master equation, which is a more complete quantum description compared with non--Hermitian Hamiltonian, to reveal the quantum behaviors of such a gain oscillator. This kind of $\mathcal{PT}$--symmetry can eliminate the dissipation effect in quantum regime. As examples, we finally apply $\mathcal{PT}$--symmetric oscillators to enhance optomechanically induced transparency and to preserve oscillator non--classical state.