Quenches across the self-organization transition in multimode cavities

TL;DR

This paper investigates the dynamics of self-organization in cold atomic gases within multimode optical cavities, revealing how different ramp protocols influence metastable states and phase transition behaviors.

Contribution

It provides a detailed analysis of the self-ordering transition in multimode cavities, highlighting the effects of ramp protocols, initial conditions, and system parameters on metastability.

Findings

Metastable states depend on initial temperature and ramp speed.

Slow ramping favors equilibrium self-ordered states.

Numerical simulations predict long-lived metastability.

Abstract

A cold dilute atomic gas in an optical resonator can be radiatively cooled by coherent scattering processes when the driving laser frequency is tuned close but below the cavity resonance. When sufficiently illuminated, moreover, the atoms' steady state undergoes a phase transition from homogeneous density to crystalline order. We characterize the dynamics of this self-ordering process in the semi-classical regime when distinct cavity modes with commensurate wavelengths are quasi-resonantly driven by laser fields via scattering by the atoms. The lasers are simultaneously applied and uniformly illuminate the atoms, their frequencies are chosen so that the atoms are cooled by the radiative processes, their intensity is either suddenly switched or slowly ramped across the self-ordering transition. Numerical simulations for different ramp protocols predict that the system exhibits long-lived metastable states, whose occurrence strongly depends on initial temperature, ramp speed, and number of atoms.