Generation and dynamics of entangled fermion-photon-phonon states in nanocavities

TL;DR

This paper presents an analytic theory for the formation and evolution of entangled fermion-photon-phonon states in nanocavities, applicable to cavity quantum optomechanics and plasmonic nanocavities, including decoherence effects.

Contribution

It introduces a comprehensive analytic model for entangled states in fermion-photon-phonon systems, incorporating decoherence and providing explicit expressions for dynamics and spectra.

Findings

Optimal tri-state entanglement occurs near parametric resonances.

The model includes decoherence effects via a stochastic approach.

Analytic expressions for state evolution and emission spectra are derived.

Abstract

We develop the analytic theory describing the formation and evolution of entangled quantum states for a fermionic quantum emitter coupled to a quantized electromagnetic field in a nanocavity and quantized phonon or mechanical vibrational modes. The theory is applicable to a broad range of cavity quantum optomechanics problems and emerging research on plasmonic nanocavities coupled to single molecules and other quantum emitters. The optimal conditions for a tri-state entanglement are realized near the parametric resonances in a coupled system. The model includes decoherence effects due to coupling of the fermion, photon, and phonon subsystems to their dissipative reservoirs within the stochastic evolution approach, which is derived from the Heisenberg-Langevin formalism. Our theory provides analytic expressions for the time evolution of the quantum state and observables, and the emission spectra. The limit of a classical acoustic pumping and the interplay between parametric and standard one-photon resonances are analyzed.