Phase transitions in Wick-rotated~ \(\mathcal{PT}\)-symmetric optics

DOI10.1016/j.aop.2015.05.008zbMath1360.81357arXiv1410.2104OpenAlexW2113515361MaRDI QIDQ527732

Stefano Longhi

Publication date: 12 May 2017

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2104

zbMATH Keywords

coupled oscillators\(\mathcal{PT}\) symmetry breakingdynamic laser instability

Mathematics Subject Classification ID

Quantum optics (81V80) Symmetry breaking in quantum theory (81R40) Lasers, masers, optical bistability, nonlinear optics (78A60) Nonselfadjoint operator theory in quantum theory including creation and destruction operators (81Q12)

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Cites Work

• Unnamed Item
• Burgers equation in 2D \(\mathrm{SU}(N)\) YM
• Amplitude response of coupled oscillators
• Condensed Matter Field Theory
• The world of the complex Ginzburg-Landau equation
• Hydrodynamic Stability Without Eigenvalues
• Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides
• MHD α2-dynamo, Squire equation and PT-symmetric interpolation between square well and harmonic oscillator
• Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
• Pseudospectra of the Orr–Sommerfeld Operator