SCL Seminar by Etienne Wamba

Scientific Computing Laboratory seminar will be held on Tuesday, 1 November 2016 at 14:00 in the library reading room “Dr. Dragan Popović" of the Institute of Physics Belgrade. The talk entitled

"On the experiments with trapped quantum gases: exact mapping and probing of adiabaticity breakdown"

will be given by Dr. Etienne Wamba (Humboldt Fellow, Research Center OPTIMAS and Department of Physics, Technical University of Kaiserslautern, Germany).

Abstract of the talk:

Experiments on trapped quantum gases can probe challenging regimes of quantum many-body dynamics, where strong interactions or non-equilibrium states prevent exact theoretical treatment. In this talk, we will present a class of exact mappings between all the observables of different experiments, including gases under the experimentally attainable conditions that the gas particles interact via a homogeneously scaling two-body potential which is in general time-dependent, and are confined in an isotropic harmonic trap [1, 2]. We will express our result through an identity relating second-quantized field operators in the Heisenberg picture of quantum mechanics that makes it general. It applies to arbitrary measurements on possibly multi-component Bose or Fermi gases in arbitrary initial quantum states, no matter how highly excited or far from equilibrium. We will use an example to show how the results of two different and currently feasible experiments can be mapped onto each other by our space-time transformation. In these experiments, adiabaticity may be broken at some point; we show how we can use solitons to track the breakdown.
[1] E. Wamba, A. Mohamadou, and T. C. Kofane, Phys. Rev. E 77, 046216 (2008).
[2] E. Wamba, A. Pelster, and J. R. Anglin, Phys. Rev. A 94, 043628 (2016).