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Frontiers of Physics

ISSN 2095-0462

ISSN 2095-0470(Online)

CN 11-5994/O4

邮发代号 80-965

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Quantum dynamics in ultracold atomic physics
Cite this article
Qiong-Yi He, Margaret D. Reid, Bogdan Opanchuk, Rodney Polkinghorne, Laura E. C. Rosales-Zárate, Peter D. Drummond. Quantum dynamics in ultracold atomic physics. Frontiers of Physics, 2012, 7(1): 16-30  
Copyright©2014, Higher Education Press and Springer-Verlag Berlin Heidelberg
This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Quantum dynamics in ultracold atomic physics
Qiong-Yi He, Margaret D. Reid, Bogdan Opanchuk, Rodney Polkinghorne, Laura E. C. Rosales-Zárate, Peter D. Drummond
Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Melbourne 3122, Australia
pdrummond@swin.edu.au
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.

Keyword: quantum; dynamics; atomic; ultracold; collisions; entanglement; phase-space
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