Quantum quenches and off-equilibrium dynamical transition in the infinite-dimensional Bose-Hubbard model

TL;DR

This paper investigates the non-equilibrium dynamics of the infinite-dimensional Bose-Hubbard model after a quantum quench, revealing a dynamical transition similar to that in fermionic models, analyzed exactly via an effective Newtonian approach.

Contribution

It provides an exact analysis of off-equilibrium dynamics in the infinite-dimensional Bose-Hubbard model and identifies a dynamical transition akin to fermionic systems.

Findings

Existence of a dynamical transition separating small and large quenches

Exact mapping to Newtonian evolution for analysis

Similarity to fermionic Hubbard model transition

Abstract

We study the off-equilibrium dynamics of the infinite dimensional Bose Hubbard Model after a quantum quench. The dynamics can be analyzed exactly by mapping it to an effective Newtonian evolution. For integer filling, we find a dynamical transition separating regimes of small and large quantum quenches starting from the superfluid state. This transition is very similar to the one found for the fermionic Hubbard model by mean field approximations.