Decoherence is typically viewed as an obstacle to realizing topological phases. This work shows that it can induce topological phenomena. Using a lattice system subject to phase noise, it demonstrates that the averaged dynamics, described by an interacting quantum master equation, realizes a topological phase characterized by a winding number and the non-Hermitian skin effect. The dynamical consequence is striking: correlated stochastic noise generates asymmetric diffusion, the direction of which is fixed by the winding number and reversible only through a topological phase transition. This effect is purely interaction-induced, distinguishing it from studies of free systems. It vanishes upon postselection of measurement outcomes, confirming it as a genuinely open quantum phenomenon. Notably, the model remains analytically solvable. The results establish correlated quantum noise as a pathway to topology in open many-body systems, going beyond free-particle and non-Hermitian paradigms.
In the microworld, noise usually disrupts fragile states, like ripples shattering a reflection in a puddle. But sometimes the coordinated noise of many particles does the opposite—a stable unidirectional flow emerges.
The direction is set by geometry, akin to spacetime curvature. The paradox is that trying to clean the system of noise (as in spectroscopy, where you filter the signal) destroys this pattern—motion grinds to a halt. This is a phenomenon of open systems, where entropy not only grows but also builds structures. The ideas trace back to the work of von Neumann and Wigner on chaos and measurements.
🎯 Remove the noise, and the wave freezes: the particles stop moving. Order demands disorder.