Arnol'd Tongues and Quantum Accelerator Modes

Details Arnol'd Tongues and Quantum Accelerator Modes Arnol'd Tongues and Quantum Accelerator Modes

2005-12-12

arxiv.org/abs/quant-ph/0512086v1

Nonlinearity 19 (2006) 1141-1164

Physics

Quantum Physics

20 pages, 6 encapsulated postscript figures

Scientific paper

10.1088/0951-7715/19/5/006

The stable periodic orbits of an area-preserving map on the 2-torus, which is formally a variant of the Standard Map, have been shown to explain the quantum accelerator modes that were discovered in experiments with laser-cooled atoms. We show that their parametric dependence exhibits Arnol'd-like tongues and perform a perturbative analysis of such structures. We thus explain the arithmetical organisation of the accelerator modes and discuss experimental implications thereof.

Affiliated with

Also associated with

No associations

Rating

Arnol'd Tongues and Quantum Accelerator Modes 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 Arnol'd Tongues and Quantum Accelerator Modes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Arnol'd Tongues and Quantum Accelerator Modes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-503119