# Two-particle quantum correlations in stochastically-coupled networks

## TL;DR

This paper introduces a stochastic calculus-based master equation to analyze two-particle quantum correlations in noisy networks, revealing that particle indistinguishability can preserve quantum coherence despite dynamical disorder.

## Contribution

It presents a novel stochastic approach to model two-particle dynamics in noisy quantum networks, highlighting conditions where quantum interference persists under disorder.

## Key findings

- Noise causes dephasing in single-particle coherences.
- Correlated particles maintain coherence despite noise.
- Indistinguishability aids in preserving quantum interference.

## Abstract

Quantum walks in dynamically-disordered networks have become an invaluable tool for understanding the physics of open quantum systems. In this work, we introduce a novel approach to describe the dynamics of indistinguishable particles in noisy quantum networks. By making use of stochastic calculus, we derive a master equation for the propagation of two non-interacting correlated particles in tight-binding networks affected by off-diagonal dynamical disorder. We show that the presence of noise in the couplings of a quantum network creates a pure-dephasing-like process that destroys all coherences in the single-particle Hilbert subspace. Remarkably, we find that when two or more correlated particles propagate in the network, coherences accounting for particle indistinguishability are robust against the impact of noise, thus showing that it is possible, in principle, to find specific conditions for which many indistinguishable particles can traverse dynamically-disordered systems without losing their ability to interfere. These results shed light on the role of particle indistinguishability in the preservation of quantum coherence in dynamically-disordered quantum networks.