2013/06/19 by H. K. Avetissian, G. F. Mkrtchian
Computer Science · Mathematics · Physics and Astronomy · #Classical mechanics #Coherent states #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Harmonic oscillator #Jaynes–Cummings model #Laser-Matter Interactions and Applications #Mathematics #Photon #Physics #Population inversion #Quantum #Quantum Information and Cryptography #Quantum electrodynamics #Quantum harmonic oscillator #Quantum mechanics #Quantum optics #Quantum optics and atomic interactions #Rotating wave approximation #Symmetry breaking #Wave function #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.88.043811
5 pages, 5 figures
arxiv created 2013/06/19 · openalex publication_date 2013/10/09 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the generalized Jaynes-Cummings model of quantum optics at the inversion-symmetry breaking and in the ultrastrong coupling regime. With the help of a generalized multiphoton rotating-wave approximation, we study the stationary solutions of the Schr"odinger equation. It is shown that the problem is reduced to resonant interaction of two position-displaced harmonic oscillators. Explicit expressions for the eigenstates and eigenvalues of generalized Jaynes-Cummings Hamiltonian are presented. We exemplify our physical model with analytical and numerical considerations regarding Rabi oscillations, collapse and revivals of the initial population of a two-level system, and photon distribution function at the direct multiphoton resonant coupling.