Quantum dynamics in ultra-cold atomic physics
Abstract
We review recent developments in the theory of quantum dynamics in ultra-cold atomic physics, including exact techniques, but focusing on methods based on phase-space mappings that are appli- cable when the complexity becomes exponentially large. These 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 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 absorp- tion, 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.
Cite
@article{arxiv.1112.0380,
title = {Quantum dynamics in ultra-cold atomic physics},
author = {Q. Y. He and M. D. Reid and B. Opanchuk and R. Polkinghorne and Laura E. C. Rosales-Zárate and P. D. Drummond},
journal= {arXiv preprint arXiv:1112.0380},
year = {2014}
}