Non-equilibrium physics of Rydberg lattices in the presence of noise and dissipative processes

TL;DR

This paper investigates the non-equilibrium behavior of driven Rydberg spin lattices under noise and dissipation, revealing how different noise types affect statistics and identifying conditions for phase transitions to ordered states.

Contribution

It distinguishes effects of correlated and uncorrelated noise on Rydberg systems and analyzes phase diagrams under various dissipative interactions using Monte Carlo and mean field methods.

Findings

FCS differs significantly between noise types

No long-range order for realistic interactions under resonant driving

Dissipative phase transition to antiferromagnetic order at finite detuning

Abstract

We study the non-equilibrium dynamics of driven spin lattices in the presence of decoherence caused by either laser phase noise or strong decay. In the first case, we discriminate between correlated and uncorrelated noise and explore their effect on the mean density of Rydberg states and the full counting statistics (FCS). We find that while the mean density is almost identical in both cases, the FCS differ considerably. The main method employed is the Langevin equation (LE) but for the sake of efficiency in certain regimes, we use a Markovian master equation and Monte Carlo rate equations, respectively. In the second case, we consider dissipative systems with more general power-law interactions. We determine the phase diagram in the steady state and analyse its generation dynamics using Monte Carlo rate equations. In contrast to nearest-neighbour models, there is no transition to long-range-ordered phases for realistic interactions and resonant driving. Yet, for finite laser detunings, we show that Rydberg lattices can undergo a dissipative phase transition to a long-range-ordered antiferromagnetic (AF) phase. We identify the advantages of Monte Carlo rate equations over mean field (MF) predictions.