scholarly journals Dynamical Phase Transitions in Quantum Systems

2010 ◽  
Vol 01 (05) ◽  
pp. 303-311 ◽  
Author(s):  
Ingrid Rotter
Keyword(s):  
Phase Transitions ◽  
Quantum Systems ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions

scholarly journals Dynamical phase transitions and Loschmidt echo in the infinite-range XY model

2016 ◽  
Vol 374 (2069) ◽  
pp. 20150160 ◽  
Author(s):  
Bojan Žunkovič ◽  
Alessandro Silva ◽  
Michele Fabrizio
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Order Parameter ◽  
Quantum Systems ◽  
Xy Model ◽  
Time Behaviour ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions ◽  
Loschmidt Echo ◽  
Infinite Range

We compare two different notions of dynamical phase transitions in closed quantum systems. The first is identified through the time-averaged value of the equilibrium-order parameter, whereas the second corresponds to non-analyticities in the time behaviour of the Loschmidt echo. By exactly solving the dynamics of the infinite-range XY model, we show that in this model non-analyticities of the Loschmidt echo are not connected to standard dynamical phase transitions and are not robust against quantum fluctuations. Furthermore, we show that the existence of either of the two dynamical transitions is not necessarily connected to the equilibrium quantum phase transition.

scholarly journals Exceptional Points and Dynamical Phase Transitions

10.14311/1273 ◽  
2010 ◽  
Vol 50 (5) ◽  
Author(s):  
I. Rotter
Keyword(s):  
Phase Transitions ◽  
Quantum Physics ◽  
Open Quantum Systems ◽  
Level Density ◽  
Experimental Studies ◽  
Quantum Systems ◽  
Microwave Cavity ◽  
Exceptional Points ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions

In the framework of non-Hermitian quantum physics, the relation between exceptional points,dynamical phase transitions and the counter intuitive behavior of quantum systems at high level density is considered. The theoretical results obtained for open quantum systems and proven experimentally some years ago on a microwave cavity, may explain environmentally induce deffects (including dynamical phase transitions), which have been observed in various experimental studies. They also agree(qualitatively) with the experimental results reported recently in PT symmetric optical lattices.

scholarly journals Dynamical phase transitions at finite temperature from fidelity and interferometric Loschmidt echo induced metrics

2018 ◽  
Vol 97 (9) ◽  
Author(s):  
Bruno Mera ◽  
Chrysoula Vlachou ◽  
Nikola Paunković ◽  
Vítor R. Vieira ◽  
Oscar Viyuela
Keyword(s):  
Phase Transitions ◽  
Finite Temperature ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions ◽  
Loschmidt Echo
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