Year-end Sale % OFF 
Abstract
AbstractWe develop the analytic theory describing the formation and evolution of entangled quantum states for a fermionic quantum emitter coupled simultaneously 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 tripartite entanglement are realized near the parametric resonances in a coupled system. The model includes dissipation and 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.
Highlights
There is a lot of recent interest in the quantum dynamics of fermion systems coupled to both an electromagnetic (EM) mode in a cavity and quantum or classical mechanical/ acoustic oscillations or phonon vibrations
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 model includes dissipation and 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
Summary
There is a lot of recent interest in the quantum dynamics of fermion systems coupled to both an electromagnetic (EM) mode in a cavity and quantum or classical mechanical/ acoustic oscillations or phonon vibrations. Within Schrödinger’s description, the equations of motion for the components of an infinitely dimensional state vector |Ψ〉 that describes a coupled fermion–boson system can be split into the blocks of low dimensions if the RWA is applied This is true even if the dynamics of the fermion subsystem is nonperturbative, e.g., the effects of saturation are important. The Schrödinger equation in its standard form cannot be applied to describe open systems coupled to a dissipative reservoir In this case, the stochastic versions of the equation of evolution for the state vector have been developed, e.g., the method of quantum jumps [23, 25]. The focus of the paper is to provide analytic solutions for the quantum dynamics in systems of coupled electron, photon, and phonon excitations including dissipation and decoherence effects. That is why we believe that the results obtained in this paper will be useful for the experimentalists working on b a broad range of nanophotonic systems
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
