Journal article
Atomic coherent states and sphere maps
Journal of physics. A, Mathematical and theoretical, v 45(24), 244024
30 May 2012
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Abstract
An atomic coherent state will evolve to an atomic coherent state under a classical driving field. Under a time-periodic driving field the phase space for the dynamics is S2 × S1, so that chaotic motion is possible. We explore the types of motion that can occur for periodically driven atomic coherent states by investigating the properties of the first return map S2 → S2. The sphere map that we introduce is a generalization of the Kolmogorov-Arnold circle map that is based on the Gauss sphere map. We find mixtures of mode-locking, quasiperiodicity, forward and reverse period-doubling cascades and chaos. This article is part of a special issue of Journal of Physics A: Mathematical and Theoretical devoted to 'Coherent states: mathematical and physical aspects'.
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Details
- Title
- Atomic coherent states and sphere maps
- Creators
- Robert Gilmore - Drexel University Physics Department, Philadelphia, PA 19104, USA
- Publication Details
- Journal of physics. A, Mathematical and theoretical, v 45(24), 244024
- Publisher
- IOP Publishing
- Number of pages
- 11
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:000305394700025
- Scopus ID
- 2-s2.0-84861857670
- Other Identifier
- 991019167848204721
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- Web of Science research areas
- Physics, Mathematical
- Physics, Multidisciplinary