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Quantum dynamics in ultracold atomic physics

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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.

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Authors and Affiliations

  1. Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Melbourne, 3122, Australia

    Qiong-Yi He, Margaret D. Reid, Bogdan Opanchuk, Rodney Polkinghorne, Laura E. C. Rosales-Zárate & Peter D. Drummond

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  1. Qiong-Yi He
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  2. Margaret D. Reid
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  3. Bogdan Opanchuk
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Correspondence to Peter D. Drummond.

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He, QY., Reid, M.D., Opanchuk, B. et al. Quantum dynamics in ultracold atomic physics. Front. Phys. 7, 16–30 (2012). https://doi.org/10.1007/s11467-011-0232-x

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