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Dynamical phase transitions and statistics of excitations

Presented by: 
Alessandro Silva SISSA, Abdus Salam International Centre for Theoretical Physics
Thursday 14th January 2016 - 10:00 to 11:00
INI Seminar Room 1
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons