The unusual nature of the quantum Baker's transformation

DOI10.1016/0003-4916(91)90184-AzbMath0742.58048OpenAlexW2083353996MaRDI QIDQ1175262

Steven Tomsovic, Patrick W. O'Connor

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0003-4916(91)90184-a

zbMATH Keywords

quantum fluctuationschaotic systemsquantum Baker's transformationsemiclassical effects

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

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Anatomy of the trace formula for the baker’s map, The quantized D-transformation, Towards a semiclassical theory of the quantum Baker's map, Relaxation and localization in interacting quantum maps, Semiclassical properties and chaos degree for the quantum Baker’s map, Crossover from diffusive to ballistic transport in periodic quantum maps, Accuracy of semiclassical dynamics in the presence of chaos, A semiclassical reversibility paradox in simple chaotic systems, The Timescales of Quantum Breaking, Semiclassical dynamics in the strongly chaotic regime: Breaking the log time barrier, QUANTUM MAPS WITH SPACE EXTENT: A PARADIGM FOR LATTICE QUANTUM WALKS, Correlations in the actions of periodic orbits derived from quantum chaos

Cites Work

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• Classical structures in the quantized Baker transformation
• The quantized Baker's transformation
• Weak quantum ergodicity
• Regular and stochastic motion
• Evolution of semiclassical quantum states in phase space
• Semiclassical theory of spectral rigidity
• Level clustering in the regular spectrum
• Characterization of Chaotic Quantum Spectra and Universality of Level Fluctuation Laws