Two-level system with broken inversion symmetry coupled to a quantum harmonic oscillator

TL;DR

This paper investigates a generalized Jaynes-Cummings model with broken inversion symmetry in the ultrastrong coupling regime, providing analytical solutions and exploring phenomena like collapse and revivals in quantum optics.

Contribution

It introduces a generalized multiphoton rotating-wave approximation and derives explicit eigenstates and eigenvalues for the model, advancing understanding of symmetry-breaking effects in quantum optics.

Findings

Explicit eigenstates and eigenvalues derived

Collapse and revival phenomena analyzed

Model applicable to ultrastrong coupling regimes

Abstract

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\"{o}dinger 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 collapse and revivals of the initial population of a two-level system and photon distribution function at the direct multiphoton resonant coupling.