Generalized quantum baker maps as perturbations of a simple kernel
We present a broad family of quantum baker maps that generalize the proposal of Schack and Caves to any even Hilbert space with arbitrary boundary conditions. We identify a structure, common to all maps consisting of a simple kernel perturbed by diffraction effects. This "essential" baker&...
Guardado en:
| Autores principales: | , |
|---|---|
| Publicado: |
2006
|
| Materias: | |
| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v74_n4_p_Ermann http://hdl.handle.net/20.500.12110/paper_15393755_v74_n4_p_Ermann |
| Aporte de: |
| Sumario: | We present a broad family of quantum baker maps that generalize the proposal of Schack and Caves to any even Hilbert space with arbitrary boundary conditions. We identify a structure, common to all maps consisting of a simple kernel perturbed by diffraction effects. This "essential" baker's map has a different semiclassical limit and can be diagonalized analytically for Hilbert spaces spanned by qubits. In all cases this kernel provides an accurate approximation to the spectral properties-eigenvalues and eigenfunctions-of all the different quantizations. © 2006 The American Physical Society. |
|---|