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Dynamical phase transitions and statistics of excitations

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QIMW01 - Quantum integrable models in and out of equilibrium

Co-authors: Pietro Smacchia (Rutgers), Eugene Demler (Harvard), Michael Knap (Munich), Anna Maraga (SISSA)

Dynamical phase transitions can occur in isolated quantum systems that are brought out of equilibrium by either a sudden or a gradual change of their parameters. Theoretical examples range from the behaviour of the O(N) model as well as spin-models with long range interactions both showing dynamical criticality in their prethermal steady-states. In this talk I will start by discussing the characterization of such dynamical phase transitions based on the statistics of produced excitations. I will also discuss the role of fluctuations as well as on the differences between sudden and gradual changes of the system parameters. Finally, I will discuss the emergence of zeroes in the Loschmidt amplitude attempting to elucidate their physical meaning in connection with the dynamical transitions above.

This talk is part of the Isaac Newton Institute Seminar Series series.

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