39 citations · 86 across the 12 of their papers we have counts for
13 papers
Exact nonequilibrium steady states of boundary driven circuit with XYZ gates
Xin Zhang, Tomaz Prosen, Vladislav Popkov
We obtain the exact many-body density operator of a boundary-driven XXZ quantum circuit via a spatially inhomogeneous matrix product Ansatz. The Ansatz has formally infinite bond-d…
Anomalous transport in non-integrable classical field theories
Matija Koterle, Tomaz Prosen, Tianci Zhou
Anomalous KPZ spin transport is well established in integrable non-Abelian lattice models but has not been investigated in continuum field theories as discretization in numerics ge…
Ergodic behaviors in reversible 3-state cellular automata
Rustem Sharipov, Matija Koterle, Sašo Grozdanov +1
Classical cellular automata represent a class of explicit discrete spacetime lattice models in which complex large-scale phenomena emerge from simple deterministic rules. With the…
Fluctuations of stochastic charged cellular automata
Žiga Krajnik, Katja Klobas, Bruno Bertini +1
We obtain the exact full counting statistics of a cellular automaton with freely propagating vacancies and charged particles that are stochastically scattered or transmitted upon c…
Integrable fishnet circuits and Brownian solitons
Žiga Krajnik, Enej Ilievski, Tomaž Prosen +2
We introduce classical many-body dynamics on a one-dimensional lattice comprising local two-body maps arranged on discrete space-time mesh that serve as discretizations of Hamilton…
Integrability of open boundary driven quantum circuits
Chiara Paletta, Tomaž Prosen
In this paper, we address the problem of Yang-Baxter integrability of doubled quantum circuit of qubits (spins 1/2) with open boundary conditions where the two circuit replicas are…