# One particle subspaces for two particle quantum walks with ultralocal interaction

## TL;DR

This paper investigates the behavior of two particles with different masses interacting locally on a lattice, focusing on the properties of one particle subspaces in quantum walks across various dimensions.

## Contribution

It introduces a detailed analysis of one particle subspaces in two-particle quantum walks with ultralocal interaction on arbitrary-dimensional lattices.

## Key findings

- Characterization of one particle subspaces in two-particle quantum walks.
- Analysis applicable to arbitrary lattice dimensions.

## Abstract

We study one particle subspaces for two particles of different masses with ultra local interaction on a lattice of arbitrary dimension.