Thermalization in many-particle quantum walks

TL;DR

This paper investigates the thermalization process in many-particle quantum walks on various graph topologies, analyzing how quantum particles evolve and reach equilibrium states through simulations of key statistical measures.

Contribution

It introduces a model of many-particle quantum walks with a single coin controlling the dynamics across different graph structures, highlighting universal behavior in their thermalization process.

Findings

Vertices particle densities reach equilibrium

Universal dynamics observed across topologies

Second order spatial correlations analyzed

Abstract

Many-particles quantum walks of particles obeying Bose statistics moving on graphs of various topologies are introduced. A single coin tossing commands the conditional shift operation over the whole graph. Vertices particle densities, the mean values of the phase space variables, second order spatial correlation and counting statistics are evaluated and simulated. Evidence of an universal dynamics is presented.