Coherent control of interacting particles using dynamical and Aharonov-Bohm phases

TL;DR

This paper demonstrates how combining dynamical phases from periodic driving with Aharonov-Bohm phases enables precise control over the localization and dynamics of interacting quantum particles in a lattice.

Contribution

It introduces a method to manipulate interacting particles' behavior by leveraging phase control through both dynamical and Aharonov-Bohm effects in a driven quantum system.

Findings

Dynamical phases can be used to control particle localization.

Aharonov-Bohm phases influence particle dynamics.

Control persists even with strong interactions.

Abstract

A powerful method of manipulating the dynamics of quantum coherent particles is to control the phase of their tunneling. We consider a system of two electrons hopping on a quasi one-dimensional lattice in the presence of a uniform magnetic field, and study the effect of adding a time-periodic driving potential. We show that the dynamical phases produced by the driving can combine with the Aharonov-Bohm phases to give precise control of the localization and dynamics of the particles, even in the presence of strong particle interactions.