Frontiers of Physics

, Volume 7, Issue 1, pp 16–30

Quantum dynamics in ultracold atomic physics

  • Qiong-Yi He
  • Margaret D. Reid
  • Bogdan Opanchuk
  • Rodney Polkinghorne
  • Laura E. C. Rosales-Zárate
  • Peter D. Drummond
Review Article

DOI: 10.1007/s11467-011-0232-x

Cite this article as:
He, QY., Reid, M.D., Opanchuk, B. et al. Front. Phys. (2012) 7: 16. doi:10.1007/s11467-011-0232-x

Abstract

We review recent developments in the theory of quantum dynamics in ultracold atomic physics, including exact techniques and methods based on phase-space mappings that are applicable when the complexity becomes exponentially large. Phase-space representations include the truncated Wigner, positive-P and general Gaussian operator representations which can treat both bosons and fermions. These phase-space methods include both traditional approaches using a phase-space of classical dimension, and more recent methods that use a non-classical phase-space of increased dimensionality. Examples used include quantum Einstein-Podolsky-Rosen (EPR) entanglement of a four-mode BEC, time-reversal tests of dephasing in single-mode traps, BEC quantum collisions with up to 106 modes and 105 interacting particles, quantum interferometry in a multi-mode trap with nonlinear absorption, and the theory of quantum entropy in phase-space. We also treat the approach of variational optimization of the sampling error, giving an elementary example of a nonlinear oscillator.

Keywords

quantum dynamics atomic ultracold collisions entanglement phase-space 

Copyright information

© Higher Education Press and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Qiong-Yi He
    • 1
  • Margaret D. Reid
    • 1
  • Bogdan Opanchuk
    • 1
  • Rodney Polkinghorne
    • 1
  • Laura E. C. Rosales-Zárate
    • 1
  • Peter D. Drummond
    • 1
  1. 1.Centre for Atom Optics and Ultrafast SpectroscopySwinburne University of TechnologyMelbourneAustralia

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