Quantum correlations in continuos-time quantum walks of two indistinguishable particles

TL;DR

This paper investigates quantum correlations arising from exchange symmetry in two indistinguishable particles undergoing continuous-time quantum walks on a ring lattice and in continuous space, highlighting non-classical correlations without interactions.

Contribution

It demonstrates how quantum statistics and boundary conditions induce non-classical correlations in non-interacting particles during quantum walks, supported by experimental relevance.

Findings

Quantum interference leads to non-classical correlations.

Boundary conditions influence correlation emergence.

Results align with recent quantum optics experiments.

Abstract

We evaluate the degree of quantum correlation between two fermions (bosons) subject to continuous time quantum walks in a one-dimensional ring lattice with periodic boundary conditions. In our approach, no particle-particle interaction is considered. We show that the interference effects due to exchange symmetry can result into the appearance of non-classical correlations. The role played onto the appearance of quantum correlations by the quantum statistics of the particles, the boundary conditions, and the partition of the system is widely investigated. Quantum correlations also been investigated in a model mimicking the ballistic evolution of two indistinguishable particles in a 1D continuous space structure. Our results are consistent with recent quantum optics and electron quantum optics experiments where the showing up of two-particle non-classical correlations has been observed even in the absence of mutual interaction between the particles.