6 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…
Exact Steady State of a One-end Driven XXZ Spin Chain with Boundary Field
V. Popkov, T. Prosen
We find an exact nonequilibrium steady state of an open dissipatively driven XXZ spin-1/2 chain with source or sink spin bath at one end and an arbitrary boundary field at the othe…
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…
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…
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…