Atomic coherent states and sphere maps

作者:Gilmore Robert*
来源:Journal of Physics A-Mathematical and Theoretical, 2012, 45(24): 244024.
DOI:10.1088/1751-8113/45/24/244024

摘要

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 S-2 x S-1, 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 S-2 -%26gt; S-2. 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.

  • 出版日期2012-6-22

全文