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cond-mat.stat-mech2026

Interacting Quantum Symmetric Exclusion Process

Denis Bernard, Friedrich Hübner, Stefano Scopa

The paper introduces and solves the Interacting Quantum Symmetric Exclusion Process, a model of stochastic quantum hopping with occupation‑dependent rates that captures both cohere…

cond-mat.stat-mech2026

Domain-wall melting in all-to-all QSSEP from random-matrix theory

Denis Bernard, Lorenzo Piroli, Stefano Scopa

We study the melting of a domain wall in the quantum simple exclusion process with all-to-all hoppings (a.k.a. the charged SYK model). We show that the real-time dynamics of ph…

cond-mat.stat-mech2026

Universal classical and quantum fluctuations in the large deviations of current of noisy quantum systems: The case of QSSEP and QSSIP

Mathias Albert, Denis Bernard, Tony Jin +2

We study the fluctuation statistics of integrated currents in noisy quantum diffusive systems, focusing on the Quantum Symmetric Simple Exclusion and Inclusion Processes (QSSEP/QSS…

cond-mat.stat-mech2025

Large deviations of density fluctuations in the boundary driven Quantum Symmetric Simple Inclusion Process

Denis Bernard, Tony Jin, Stefano Scopa +1

We consider the boundary driven Quantum Symmetric Simple Inclusion Process (QSSIP) which describes a one-dimensional system of bosonic particles with stochastic nearest-neighbor ho…

cond-mat.stat-mech2025

Symmetry classes of classical stochastic processes

Lucas Sá, Pedro Ribeiro, Tomaž Prosen +1

We perform a systematic symmetry classification of the Markov generators of classical stochastic processes. Our classification scheme is based on the action of involutive symmetry…