Photon Blockade In The Atom-optomechanical System

In recent years,there has been extensive research and rapid development of cavity photomechanical systems both theoretically and experimentally.The system has played a crucial role in various fields,including quantum information processing,photomechanical storage,high-precision measurements,macroscopic entanglement,ultrasensitive sensors and so on.Simultaneously,the preparation of single-photon sources has made significant progress.The manipulation of photons has been one of the key tasks in quantum information science and technology,and photon blocking is an essential method for realizing single-photon sources,which are critical in the field of quantum information.The photon blocking effect arises from the nonlinearity of photons caused by nonlinear photon-mechanical coupling,leading to the non-harmonicity energy levels.This paper aims to realizing the photon blocking effect in a fully coupled hybrid cavity opto-mechanical system,consisting of a cavity opto-mechanical system and a two-level atom with three subsystems coupled to each other,where the photon blocking effect can be achieved.Strongly coupled hybrid systems have attracted people’s interest.Regarding the super-strong coupling of light with atoms or even deep-strong coupling has been accessible in cavity quantum electrodynamics system,which has greatly broadened the scope of applications.In the system we studied,three subsystems can be mapped to a strongly coupled state of an effective cavity-optical mechanical system.Applying Schriever-Wolff method we obtained a fully diagonal effective Hamiltonian.The Hamiltonian has two adjustable parameters,cavity field detuning and drive detuning.Besides the two-level atom set in enhance the photonmechanical coupling strength.We investigated the single-and two-photon blocking effects with respect to the tunable detunings and cavity field driving strengths by means of probabilistic amplitude method and the quantum master equation approach.The two-level atom play a crucial role in the photon blocking effect induces a frequency shift frequency and provide more tunable parameters for the system.The results of our paper is of some significance supplying references for obtaining single-and two-photon sources.