Solvable multistate model of Landau-Zener transitions in cavity QED

TL;DR

This paper presents an exactly solvable multistate Landau-Zener model describing how a linearly driven cavity QED system undergoes cascade transitions, providing precise transition probabilities for spin-photon interactions.

Contribution

It introduces a solvable multistate Landau-Zener model for cavity QED, deriving exact transition probabilities for complex spin-photon cascade processes.

Findings

Derived exact transition probabilities for the model.

Demonstrated the cascade of Landau-Zener transitions in cavity QED.

Provided a theoretical framework for analyzing driven spin-photon systems.

Abstract

We consider the model of a single optical cavity mode interacting with two-level systems (spins) driven by a linearly time-dependent field. When this field passes through values at which spin energy level splittings become comparable to spin coupling to the optical mode, a cascade of Landau-Zener (LZ) transitions leads to co-flips of spins in exchange for photons of the cavity. We derive exact transition probabilities between different diabatic states induced by such a sweep of the field.