100 citations · 207 across the 6 of their papers we have counts for
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Unified theory of local quantum many-body dynamics: Eigenoperator thermalization theorems
Berislav Buča
Explaining quantum many-body dynamics is a long-held goal of physics. A rigorous operator algebraic theory of dynamics in locally interacting systems in any dimension is provided h…
Rule 54: Exactly solvable model of nonequilibrium statistical mechanics
Berislav Buča, Katja Klobas, Tomaž Prosen
We review recent results on an exactly solvable model of nonequilibrium statistical mechanics, specifically the classical Rule 54 reversible cellular automaton and some of its quan…
Dissipative Bethe Ansatz: Exact Solutions of Quantum Many-Body Dynamics Under Loss
Berislav Buca, Cameron Booker, Marko Medenjak +1
We use the Bethe Ansatz technique to study dissipative systems experiencing loss. The method allows us to exactly calculate the Liouvillian spectrum. This opens the possibility of…
The isolated Heisenberg magnet as a quantum time crystal
Marko Medenjak, Berislav Buca, Dieter Jaksch
We demonstrate analytically and numerically that the paradigmatic model of quantum magnetism, the Heisenberg XXZ spin chain, does not relax to stationarity and hence constitutes a…
Exact large deviation statistics and trajectory phase transition of a deterministic boundary driven cellular automaton
Berislav Buča, Juan P. Garrahan, Tomaž Prosen +1
We study the statistical properties of the long-time dynamics of the rule 54 reversible cellular automaton (CA), driven stochastically at its boundaries. This CA can be considered…
Exact matrix product decay modes of a boundary driven cellular automaton
Tomaz Prosen, Berislav Buca
We study integrability properties of a reversible deterministic cellular automaton (the rule 54 of [Bobenko et al., Commun. Math. Phys. 158, 127 (1993)]) and present a bulk algebra…