scholarly journals Driven-dissipative phase transition in a Kerr oscillator: From semiclassical PT symmetry to quantum fluctuations

2021 ◽  
Vol 103 (3) ◽  
Author(s):  
Xin H. H. Zhang ◽  
Harold U. Baranger
Keyword(s):  
Phase Transition ◽  
Quantum Fluctuations ◽  
Pt Symmetry

$\mathcal{PT}$ symmetry phase transition of the trimer lattices with balanced gain and loss

2017 ◽  
Vol 120 (2) ◽  
pp. 21002
Author(s):  
Jiankang Wang ◽  
Yuanhao Dong ◽  
Xiao-Tao Xie
Keyword(s):  
Phase Transition ◽  
Pt Symmetry ◽  
Symmetry Phase ◽  
Gain And Loss

scholarly journals Manifestation of the spontaneous parity-time symmetry breaking phase transition in hot-electron photodetection based on a tri-layered metamaterial

Nanophotonics ◽  
2019 ◽  
Vol 8 (3) ◽  
pp. 495-504 ◽  
Author(s):  
Qiang Bai
Keyword(s):  
Phase Transition ◽  
Theoretical Model ◽  
Symmetry Breaking ◽  
Pt Symmetry ◽  
Coupled Mode Theory ◽  
Hot Electron ◽  
Electron Device ◽  
Coupled Mode ◽  
Time Symmetry ◽  
Existence Conditions

AbstractWe theoretically and numerically demonstrate that the spontaneous parity-time (PT) symmetry breaking phase transition can be realized respectively by using two independent tuning ways in a tri-layered metamaterial that consists of periodic array of metal-semiconductor Schottky junctions. The existence conditions of PT symmetry and its phase transition are obtained by using a theoretical model based on the coupled mode theory. A hot-electron photodetection based on the same tri-layered metamaterial is proposed, which can directly show the spontaneous PT symmetry breaking phase transition in photocurrent and possesses dynamical tunability and switchability. This work extends the concept of PT symmetry into the hot-electron photodetection, enriches the functionality of the metamaterial and the hot-electron device, and has varieties of potential and important applications in optoelectronics, photodetection, photovoltaics, and photocatalytics.

scholarly journals A Solvable Twisted One-Plaquette Model

1997 ◽  
Vol 12 (15) ◽  
pp. 2741-2762 ◽  
Author(s):  
M. Billó ◽  
A. D'Adda
Keyword(s):  
Phase Transition ◽  
Heat Kernel ◽  
Quantum Fluctuations ◽  
Critical Value ◽  
Classical Solutions ◽  
Coupling Constant ◽  
Time Direction ◽  
Distribution Of Eigenvalues ◽  
Kernel Model ◽  
Link Variable

We solve a hot twisted Eguchi-Kawai model with only timelike plaquettes in the deconfined phase, by computing the quadratic quantum fluctuations around the classical vacuum. The solution of the model has some novel features: the eigenvalues of the timelike link variable are separated in L bunches, if L is the number of links of the original lattice in the time direction, and each bunch obeys a Wigner semicircular distribution of eigenvalues. This solution becomes unstable at a critical value of the coupling constant, where it is argued that a condensation of classical solutions takes place. This can be inferred by comparison with the heat-kernel model in the Hamiltonian limit, and the related Douglas–Kazakov phase transition in QCD2. As a byproduct of our solution, we can reproduce the dependence of the coupling constant from the parameter describing the asymmetry of the lattice, and compare it to previous results by Karsch.

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