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Numerical Simulation of Critical Quantum Dynamics without Finite Size Effects
Edward Gillman, Federico Carollo, Igor Lesanovsky
Classical cellular automata, as for instance Domany-Kinzel cellular automata, are paradigmatic systems for the study of non-equilibrium phenomena. Such systems evolve in d…
Non-equilibrium phase transitions in -dimensional quantum cellular automata with controllable quantum correlations
Edward Gillman, Federico Carollo, Igor Lesanovsky
Motivated by recent progress in the experimental development of quantum simulators based on Rydberg atoms, we introduce and investigate the dynamics of a class of -dimension…
Numerical Simulation of Critical Dissipative Non-Equilibrium Quantum Systems with an Absorbing State
Edward Gillman, Federico Carollo, Igor Lesanovsky
The simulation of out-of-equilibrium dissipative quantum many body systems is a problem of fundamental interest to a number of fields in physics, ranging from condensed matter to c…
Topological Defects in Quantum Field Theory with Matrix Product States
Edward Gillman, Arttu Rajantie
Topological defects (kinks) in a relativistic scalar field theory in are studied using the matrix product state tensor network. The one kink state is approximated…