  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.
