Dicke-Hepp-Lieb Superradiant Phase Transition and Independent Modes Model in Quantum Optomechanics

TL;DR

This paper demonstrates that in a strong coupling optomechanical system, a superradiant phase transition occurs with two critical points, revealing new phenomena such as mode decoupling and Bogoliubov-like excitations.

Contribution

It introduces the existence of two critical points in the superradiant phase transition within optomechanical systems and analyzes mode decoupling and excitation properties.

Findings

Identification of two critical points in the phase transition

Decoupling of mechanical mode near ground state

Optical mode exhibits Bogoliubov-like excitations

Abstract

We show that in the strong coupling linear regime, the dispersive opto-mechanical Hamiltonian system can undergo a Dicke-Hepp-Lieb superradiant phase transition with two critical points. The higher critical point is the usual second order Dicke superradiant phase transition while the lower critical point is a new effect showing similarity to the usual Dicke superradiance. We also show that the mechanical mode near its quantum ground state completely decouples from the optical mode and the optical mode shows similarity to the Bogoluibov like excitations.