Generalized Quantum Baker Maps as perturbations of a simple kernel

Details Generalized Quantum Baker Maps as perturbations of a simple kernel Generalized Quantum Baker Maps as perturbations of a simple kernel

2006-06-07

arxiv.org/abs/nlin/0606021v2

Phys. Rev. E 74, 046205 (2006)

Nonlinear Sciences

Chaotic Dynamics

11 pages, 17 figures

Scientific paper

10.1103/PhysRevE.74.046205

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.

Affiliated with

Also associated with

No associations

Rating

Generalized Quantum Baker Maps as perturbations of a simple kernel does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Quantum Baker Maps as perturbations of a simple kernel, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Quantum Baker Maps as perturbations of a simple kernel will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507436