Dynamical Quantum Phase Transition and Quasi Particle Excitation

Scientific Reports
R Jafari

Abstract

Dynamical phase transitions (DPTs) are signaled by the non-analytical time evolution of the dynamical free energy after quenching some global parameters in quantum systems. The dynamical free energy is calculated from the overlap between the initial and the time evolved states (Loschmidt amplitude). In a recent study it was suggested that DPTs are related to the equilibrium phase transitions (EPTs) (Heyl, M. et al. Phys. Rev. Lett. 110, 135704 (2013)). We here study an exactly solvable model, the extended XY model, the Loschmidt amplitude of which provides a counterexample. We show analytically that the connection between the DPTs and the EPTs does not hold generally. Analysing also the general compass model as a second example, assists us to propound the physical condition under which the DPT occurs without crossing the equilibrium critical point, and also no DPT by crossing the equilibrium critical point.

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Jan 21, 2017·Physical Review Letters·R Jafari, Henrik Johannesson
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Citations

Jul 19, 2019·Magnetic Resonance in Medicine : Official Journal of the Society of Magnetic Resonance in Medicine·Eric BechlerHans-Jörg Wittsack
Feb 13, 2021·Physical Review Letters·Stefano De NicolaMaksym Serbyn
Apr 18, 2021·Physical Review. E·Zakaria MzaoualiSteve Campbell

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