Journal of Statistical Physics

, Volume 110, Issue 3–6, pp 911–943 | Cite as

A Theory for Quantum Accelerator Modes in Atom Optics

  • Shmuel Fishman
  • Italo Guarneri
  • Laura Rebuzzini


Unexpected accelerator modes were recently observed experimentally for cold cesium atoms when driven in the presence of gravity. A detailed theoretical explanation of this quantum effect is presented here. The theory makes use of invariance properties of the system, that are similar to the ones of solids, leading to a separation into independent kicked rotor problems. The analytical solution makes use of an asymptotic approximation very similar to the semiclassical one, except that the small parameter is not Planck's constant, but rather the detuning from the frequency that is resonant in absence of gravity.

Kicked Rotors cold atoms optics phase space strucures 


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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • Shmuel Fishman
    • 1
  • Italo Guarneri
    • 2
    • 3
  • Laura Rebuzzini
    • 2
  1. 1.Physics DepartmentTechnion, HaifaIsrael
  2. 2.Centro di Ricerca per i Sistemi DinamiciUniversità dell'Insubria a ComoComoItaly
  3. 3.Istituto Nazionale per la Fisica della MateriaMilanoItaly

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