Nonequilibrium Phase Transitions in (1+1)-Dimensional Quantum Cellular Automata with Controllable Quantum Correlations.

摘要: Motivated by recent progress in the experimental development of quantum simulators based on Rydberg atoms, we introduce and investigate dynamics a class ($1+1$)-dimensional cellular automata. These nonequilibrium many-body models, which are generalizations Domany-Kinzel automaton, possess two key features: they display stationary behavior phase transitions despite being isolated systems. Moreover, permit controlled introduction local correlations, allows for impact quantumness transition to be assessed. We show that projected entangled pair state tensor networks natural efficient representation automaton. Here, degree complexity is reflected difficulty contracting network.