Semiclassical properties and chaos degree for the quantum Baker's map
Copyright policy )Semiclassical properties and chaos degree for the quantum Baker's map
We study the chaotic behavior and the quantum-classical correspondence for the Baker’s map. Correspondence between quantum and classical expectation values is investigated and it is numerically shown that it is lost at the logarithmic timescale. The quantum chaos degree is computed and it is demonstrated that it describes the chaotic features of the model. The correspondence between classical and quantum chaos degrees is considered.
- Russian Academy of Sciences Russian Federation
- Steklov Mathematical Institute Russian Federation
- Department of Mathematical Sciences Russian Federation
- Tokyo University of Science Japan
High Energy Physics - Theory, Quantum Physics, Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics), FOS: Physical sciences, Hyperbolic systems with singularities (billiards, etc.), Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Nonlinear Sciences - Chaotic Dynamics, High Energy Physics - Theory (hep-th), Chaotic Dynamics (nlin.CD), Quantum Physics (quant-ph), Quantum chaos, Mathematical Physics
High Energy Physics - Theory, Quantum Physics, Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics), FOS: Physical sciences, Hyperbolic systems with singularities (billiards, etc.), Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Nonlinear Sciences - Chaotic Dynamics, High Energy Physics - Theory (hep-th), Chaotic Dynamics (nlin.CD), Quantum Physics (quant-ph), Quantum chaos, Mathematical Physics
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