43 citations · 107 across the 9 of their papers we have counts for
9 papers
Balancing structure and randomness: maximum entropy networks for context-dependent computations
Ludwig Hruza, Srdjan Ostojic
Understanding how network function constrains neural connectivity is a central challenge in neuroscience. An influential approach is to train neural networks with gradient descent…
Addition to "Structured random matrices and cyclic cumulants: A free probability approach"
Denis Bernard, Ludwig Hruza
We give a refined definition of the class of random matrix ensembles introduced in our paper "Structured random matrices and cyclic cumulants: A free probability approach" (arXiv:2…
Fluctuation of coherences in noisy mesoscopic quantum systems with diffusive transport
Ludwig Hruza
The motivation for this thesis is to find a fluctuating hydrodynamic description of quantum coherent effects in mesoscopic quantum systems with diffusive transport properties. Cohe…
QSSEP describes the fluctuations of quantum coherences in the Anderson model
Ludwig Hruza, Tony Jin
Using the transfer matrix method, we numerically investigate the structure of spatial coherences and their fluctuations in the 3d Anderson model in the metallic phase when driven o…
Structured random matrices and cyclic cumulants: A free probability approach
Denis Bernard, Ludwig Hruza
We introduce a new class of large structured random matrices characterized by four fundamental properties which we discuss. We prove that this class is stable under matrix-valued a…
Exact Entanglement in the Driven Quantum Symmetric Simple Exclusion Process
Denis Bernard, Ludwig Hruza
Entanglement properties of driven quantum systems can potentially differ from the equilibrium situation due to long range coherences. We confirm this observation by studying a suit…
Bernoulli variables, classical exclusion processes and free probability
Michel Bauer, Denis Bernard, Philippe Biane +1
We present a new description of the known large deviation function of the classical symmetric simple exclusion process by exploiting its connection with the quantum symmetric simpl…
Coherent Fluctuations in Noisy Mesoscopic Systems, the Open Quantum SSEP and Free Probability
Ludwig Hruza, Denis Bernard
Quantum coherences characterise the ability of particles to quantum mechanically interfere within some given distances. In the context of noisy many-body quantum systems these cohe…
Dynamics of Fluctuations in Quantum Simple Exclusion Processes
Denis Bernard, Fabian H. L. Essler, Ludwig Hruza +1
We consider the dynamics of fluctuations in the quantum asymmetric simple exclusion process (Q-ASEP) with periodic boundary conditions. The Q-ASEP describes a chain of spinless fer…