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First-Order Dynamical Phase Transitions

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Fulltext (public)

PhysRevLett.113.265702.pdf
(Publisher version), 416KB

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Citation

Canovi, E., Werner, P., & Eckstein, M. (2014). First-Order Dynamical Phase Transitions. Physical Review Letters, 113(26): 265702. doi:10.1103/PhysRevLett.113.265702.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0028-16A3-B
Abstract
Recently, dynamical phase transitions have been identified based on the nonanalytic behavior of the Loschmidt echo in the thermodynamic limit [Heyl et al., Phys. Rev. Lett. 110, 135704 (2013)]. By introducing conditional probability amplitudes, we show how dynamical phase transitions can be further classified, both mathematically, and potentially in experiment. This leads to the definition of first-order dynamical phase transitions. Furthermore, we develop a generalized Keldysh formalism which allows us to use nonequilibrium dynamical mean-field theory to study the Loschmidt echo and dynamical phase transitions in high-dimensional, nonintegrable models. We find dynamical phase transitions of first order in the Falicov-Kimball model and in the Hubbard model.