Dynamical Quantum Phase Transitions

Anatoli Polkovnikov (Boston U.)
Event Date and Time: 
Thu, 2018-01-11 16:00 - 17:00
Henning 201
Intended Audience: 

In this talk I will introduce the concept of dynamical quantum phase transitions,
where the role of parameter, which drives the system across the transition is played
by time. Mathematically these transitions can be understood through singularities of
the Loschmidt type return amplitude, which serves as a natural real time
generalization of the partition function. Physically these transitions are related
to the singularities in the work distribution function after a quantum quench
(sudden change of the coupling). These transitions naturally extend the concept of
singularities in Lee Yang and Fisher zeros introduced in the context of equilibrium
phase transitions. I will show some recent numerical and experimental observations
of such transitions and discuss possible generalizations.

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