Frobenius–Perron eigenstates in deformed microdisk cavities: non-Hermitian physics and asymmetric backscattering in ray dynamics

DOI10.1088/1367-2630/18/1/015005zbMath1456.81448OpenAlexW2226511654WikidataQ62266484 ScholiaQ62266484MaRDI QIDQ5854943

Jan Wiersig, Julius Kullig

Publication date: 12 March 2021

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

Full work available at URL: https://doi.org/10.1088/1367-2630/18/1/015005

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Open systems, reduced dynamics, master equations, decoherence (81S22) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (3)

Local random vector model for semiclassical fractal structure of chaotic resonance states ⋮ A Direction Preserving Discretization for Computing Phase-Space Densities ⋮ Eigenfunctions of the Perron–Frobenius operator and the finite-time Lyapunov exponents in uniformly hyperbolic area-preserving maps

Cites Work

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• Ulam method and fractal Weyl law for Perron-Frobenius operators
• Ulam method for the Chirikov standard map
• Matrix Algorithms
• Resonances of the Frobenius-Perron operator for a Hamiltonian map with a mixed phase space
• Ray and wave dynamical properties of a spiral-shaped dielectric microcavity
• 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
• The physics of exceptional points
• Dynamical ‘breaking’ of time reversal symmetry
• Poincaré recurrences and Ulam method for the Chirikov standard map

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