Emergence of glass-like dynamics for dissipative and strongly interacting bosons

TL;DR

This paper investigates how dissipation and strong interactions in a bosonic quantum gas lead to unusual dynamical behaviors, including anomalous diffusion and rare event-driven dynamics, revealing insights into the system's energy structure.

Contribution

It introduces a novel analysis of the interplay between dissipation and strong interactions, showing emergent glass-like dynamics in a bosonic quantum gas.

Findings

Emergence of anomalous diffusive behavior at short times

Long-time dynamics dominated by rare events

Insights into the energy level structure of the system

Abstract

We study the dynamics of a strongly interacting bosonic quantum gas in an optical lattice potential under the effect of a dissipative environment. We show that the interplay between the dissipative process and the Hamiltonian evolution leads to an unconventional dynamical behavior of local number fluctuations. In particular we show, both analytically and numerically, the emergence of an anomalous diffusive evolution in configuration space at short times and, at long times, an unconventional dynamics dominated by rare events. Such rare events, common in disordered and frustrated systems, are due here to strong interactions. This complex two-stage dynamics reveals information on the level structure of the strongly interacting gas.