Effects of Spin-Orbit Coupling on Jaynes-Cummings and Tavis-Cummings Models

TL;DR

This paper investigates how spin-orbit coupling influences the behavior of Jaynes-Cummings and Tavis-Cummings models in ultracold atoms within optical cavities, revealing modifications to phase transitions and system dynamics.

Contribution

It introduces the effects of spin-orbit coupling into JC and Tavis-Cummings models, showing altered phase transition boundaries and reentrant phases in many-atom systems.

Findings

Spin-orbit coupling modifies the JC model's static and dynamic properties.

It shifts the Dicke superradiance phase transition boundary.

Reentrant normal phases can occur due to spin-orbit effects.

Abstract

We consider ultracold atoms inside a ring optical cavity that supports a single plane-wave mode. The cavity field, together with an external coherent laser field, drives a two-photon Raman transition between two internal pseudo-spin states of the atom. This gives rise to an effective coupling between atom's pseudo-spin and external center-of-mass (COM) motion. For the case of a single atom inside the cavity, We show how the spin-orbit coupling modifies the static and dynamic properties of the Jaynes-Cummings (JC) model. In the case of many atoms in thermodynamic limit, we show that the spin-orbit coupling modifies the Dicke superradiance phase transition boundary and the non-superradiant normal phase may become reentrant in some regimes.