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Open Markovian Quantum Many-Body Systems

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A number of experimental platforms for quantum simulations, from ultra cold atoms to Rydberg and circuit QED arrays, can be modelled as open Markovian quantum many body systems, where coherent (Hamiltonian) evolution competes with dissipative processes due to external environments. Out of this competition a variety of non-trivial stationary states and dynamical behaviour emerge and novel critical phenomena arise which are unique to this open setting, called dissipative quantum phase transitions. In this talk I will review recent experimental and theoretical progress in this field and present our results on prototype models of strongly correlated open Markovian systems, displaying genuine nonequilibrium effects such as finite-frequency criticality and time-crystallinity, mulitstability and non-hermitian phase transitions.

This talk is part of the Theory of Condensed Matter series.

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