# Quench dynamics of Rydberg-dressed bosons on two-dimensional square lattices

## TL;DR

This paper investigates the non-equilibrium dynamics of Rydberg-dressed bosons on a 2D lattice, revealing universal early-stage behavior and interaction-dependent long-term evolution, with implications for experimental observation via time-of-flight imaging.

## Contribution

It introduces a quench protocol in an extended Bose-Hubbard model with long-range interactions and analyzes the resulting dynamics, highlighting universal early behavior and the role of density waves.

## Key findings

- Universal early-stage superfluid order parameter dynamics
- Long-range interactions significantly influence late-time evolution
- Density wave excitations are prominent at slow quench rates

## Abstract

We study the dynamics of bosonic atoms on a two-dimensional square lattice, where atomic interactions are long-ranged with either a box or soft-core shape. The latter can be realized through laser dressing ground-state atoms to electronically excited Rydberg states. When the range of interactions is equal or larger than the lattice constant, the system is governed by an extended Bose-Hubbard model. We propose a quench process by varying the atomic hopping linearly across phase boundaries of the Mott insulator-supersolid and supersolid-superfluid phases. Starting from a Mott insulating state, the dynamical evolution of the superfluid order parameter exhibits a universal behaviour at the early stage, largely independent of interactions. The dynamical evolution is significantly altered by strong, long-range interactions at later times. Particularly, we demonstrate that density wave excitation is important when the quench rate is small. Moreover, we show that the quench dynamics can be analyzed through time-of-flight images, i.e., measuring the momentum distribution and noise correlations.