Quantum baker maps for spiraling chaotic motion



Título del documento: Quantum baker maps for spiraling chaotic motion
Revue: Brazilian journal of physics
Base de datos: PERIÓDICA
Número de sistema: 000408637
ISSN: 0103-9733
Autores: 1
1
1
Instituciones: 1Ministerio da Ciencia e Tecnologia, Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro. Brasil
Año:
Periodo: Jun
Volumen: 37
Número: 2A
Paginación: 440-445
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental, analítico
Resumen en inglés 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
Disciplinas: Física y astronomía
Palabras clave: 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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