From the 1 of 9 linked papers with an AI index.
9 papers
The Renormalization Group as a Stochastic Exploration Process
Denis Bernard
The Renormalization Group (RG) is a powerful and versatile framework for analyzing complex physical systems. Here, we reinterpret it as a stochastic process that explores physical…
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…
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…
The Quantum Symmetric Simple Exclusion Process in the Continuum and Free Processes
Denis Bernard
The quantum symmetric simple exclusion process (QSSEP) is a recent extension of the symmetric simple exclusion process, designed to model quantum coherent fluctuating effects in no…
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…
Introduction to quantum exclusion processes
Guillaume Barraquand, Denis Bernard
The QSSEP, short for quantum symmetric simple exclusion process, is a paradigm model for stochastic quantum dynamics. Averaging over the noise, the quantum dynamics reduce to the w…