Spatial correlations of one dimensional driven-dissipative systems of Rydberg atoms

TL;DR

This paper investigates the spatial correlations in a one-dimensional driven-dissipative Rydberg atom system, revealing how bistability enhances correlations and entanglement through quantum trajectory simulations.

Contribution

It provides the first detailed analysis of spatial correlations and entanglement in a 1D driven-dissipative Rydberg lattice using quantum trajectories.

Findings

Bistability significantly increases spatial correlations.

Strong entanglement is observed in the bistable regime.

Spatial correlations are mapped across parameter space.

Abstract

We consider a one-dimensional lattice of atoms with laser excitation to a Rydberg state and spontaneous emission. The atoms are coupled due to the dipole-dipole interaction of the Rydberg states. This driven-dissipative system has a broad range of non-equilibrium phases, such as antiferromagnetic ordering and bistability. Using the quantum trajectory method, we calculate the spatial correlation function throughout the parameter space for up to 20 lattice sites. We show that bistability significantly strengthens the spatial correlations and entanglement.