# Two bosonic quantum walkers in one-dimensional optical lattices

## TL;DR

This paper investigates the dynamical behavior of two bosonic quantum walkers in a one-dimensional optical lattice, revealing localization phenomena and analyzing the effects of interactions, disorder, and initial states.

## Contribution

It introduces a method to decompose the density profile to distinguish the effects of interactions and predicts observable phenomena in cold atom experiments.

## Key findings

- Two bosons exhibit many-body localization-like behavior with disorder.
- Decomposition method isolates contributions from singly and doubly occupied sites.
- Predictions are experimentally accessible with ultra-cold atoms.

## Abstract

Dynamical properties of two bosonic quantum walkers in a one-dimensional lattice are studied theoretically. Depending on the initial state, interactions, lattice tilting, and lattice disorder, whole plethora of different behaviors are observed. Particularly, it is shown that two bosons system manifests the many-body localization like behavior in the presence of a quenched disorder. The whole analysis is based on a specific decomposition of the temporal density profile into different contributions from singly and doubly occupied sites. In this way, the role of interactions is extracted. Since the contributions can be directly measured in experiments with ultra-cold atoms in optical lattices, the predictions presented may have some importance for upcoming experiment.