Analytical Solution of The Two-Qubit Quantum Rabi Model

TL;DR

This paper provides an analytical solution to the two-qubit quantum Rabi model, compares entropy measures for specific coupling constants, and explores occupation probability dynamics including phenomena like sudden death.

Contribution

It introduces an exact analytical solution for the two-qubit Rabi model and analyzes entropy and occupation probability behaviors under various parameters.

Findings

Oscillations of occupation probabilities are similar to spontaneous emission.

Occupation probability ρ₁₁ exhibits sudden death when Δ₂=0.

Entropy comparisons reveal specific behaviors at certain coupling constants.

Abstract

In this paper, an analytical solution of the two-qubit Rabi model for the general case is presented. Furthermore, a comparison between the information entropies and the Von Neumann entropy $(\rho_{A})$ is given for some special values of the qubit-photon coupling constants in case of the detuning parameters. It is demonstrated that oscillations of the occupation probabilities $\rho_{11}, \rho_{22}, \rho_{33}$ and $\rho_{44}$ are equivalent to the case of the spontaneous emission. The occupation probability $\rho_{11}$ reaches the case of sudden death, when the detuning parameters $\Delta_{2}$ equals zero.