Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials
Quantum Physics
2014-11-20 v1 Quantum Gases
Chaotic Dynamics
Abstract
We discuss the possibility of realizing a non-Hermitian, i.e. an open two-well system of ultra-cold atoms by enclosing it with additional time-dependent wells that serve as particle reservoirs. With the appropriate design of the additional wells PT-symmetric currents can be induced to and from the inner wells, which support stable solutions. We show that interaction in the mean-field limit does not destroy this property. As a first method we use a simplified variational ansatz leading to a discrete nonlinear Schr\"odinger equation. A more accurate and more general variational ansatz is then used to confirm the results.
Keywords
Cite
@article{arxiv.1408.0158,
title = {Realizing PT-symmetric non-Hermiticity with ultra-cold atoms and Hermitian multi-well potentials},
author = {Manuel Kreibich and Jörg Main and Holger Cartarius and Günter Wunner},
journal= {arXiv preprint arXiv:1408.0158},
year = {2014}
}