scholarly journals Width bifurcation and dynamical phase transitions in open quantum systems

2013 ◽  
Vol 87 (5) ◽  
Author(s):  
Hichem Eleuch ◽  
Ingrid Rotter
Keyword(s):  
Phase Transitions ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum ◽  
Dynamical Phase ◽  
Dynamical Phase Transitions

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 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 Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation

2021 ◽  
Vol 104 (3) ◽  
Author(s):  
D. A. Ivanov ◽  
T. Yu. Ivanova ◽  
S. F. Caballero-Benitez ◽  
I. B. Mekhov
Keyword(s):  
Phase Transitions ◽  
Open Quantum Systems ◽  
Universality Class ◽  
Quantum Systems ◽  
Open Quantum

scholarly journals Continuous Dissipative Phase Transitions with or without Symmetry Breaking

2021 ◽  
Author(s):  
Fabrizio Minganti ◽  
Ievgen Arkhipov ◽  
Adam Miranowicz ◽  
Franco Nori
Keyword(s):  
Phase Transitions ◽  
Symmetry Breaking ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Second Order ◽  
Necessary Condition ◽  
Symmetric Model ◽  
Open Quantum ◽  
Modern Physics ◽  
Laser Model

Abstract The paradigm of second-order phase transitions (PTs) induced by spontaneous symmetry breaking (SSB) in thermal and quantum systems is a pillar of modern physics that has been fruitfully applied to out-of-equilibrium open quantum systems. Dissipative phase transitions (DPTs) of second order are often connected with SSB, in close analogy with well-known thermal second-order PTs in closed quantum and classical systems. That is, a second-order DPT should disappear by preventing the occurrence of SSB. Here, we prove this statement to be wrong, showing that, surprisingly, SSB is not a necessary condition for the occurrence of second-order DPTs in \textit{out-of-equilibrium open quantum systems}. We analytically prove this result using the Liouvillian theory of dissipative phase transitions, and demonstrate this anomalous transition in two exemplary models: a paradigmatic laser model, where we can arbitrarily remove SSB while retaining criticality, and a $Z_2$-symmetric model of a two-photon Kerr resonator.

scholarly journals Phase transitions in open quantum systems

1999 ◽  
Vol 60 (1) ◽  
pp. 114-131 ◽  
Author(s):  
C. Jung ◽  
M. Müller ◽  
I. Rotter
Keyword(s):  
Phase Transitions ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum

Relaxation of interacting open quantum systems

2018 ◽  
Vol 189 (05) ◽  
Author(s):  
Vladislav Yu. Shishkov ◽  
Evgenii S. Andrianov ◽  
Aleksandr A. Pukhov ◽  
Aleksei P. Vinogradov ◽  
A.A. Lisyansky
Keyword(s):  
Open Quantum Systems ◽  
Quantum Systems ◽  
Open Quantum
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