Quantum baker maps for spiraling chaotic motion



Document title: Quantum baker maps for spiraling chaotic motion
Journal: Brazilian journal of physics
Database: PERIÓDICA
System number: 000408637
ISSN: 0103-9733
Authors: 1
1
1
Institutions: 1Ministerio da Ciencia e Tecnologia, Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro. Brasil
Year:
Season: Jun
Volumen: 37
Number: 2A
Pages: 440-445
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental, analítico
English abstract We define a coupling of two baker maps through a π/2 rotation both in position and in momentum. The classical trajectories thus exhibit spiraling, or loxodromic motion, which is only possible for conservative maps of at least two degrees of freedom. This loxodromic baker map is still hyperbolic, that is, fully chaotic. Quantization of this map follows on similar lines to other generalized baker maps. It is found that the eigenvalue spectrum for quantum loxodromic baker map is far removed from those of the canonical random matrix ensembles. An investigation of the symmetries of the loxodromic baker map reveals the cause of this deviation from the Bohigas-Giannoni-Schmit conjecture
Disciplines: Física y astronomía
Keyword: Física,
Física de partículas y campos cuánticos,
Mecánica cuántica,
Sistemas dinámicos,
Caos
Keyword: Physics and astronomy,
Particle physics and quantum fields,
Physics,
Quantum mechanics,
Dynamic systems,
Chaos
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