Can I read Hermitian four-well potential as a realization of a PT-symmetric system on EtoBox?

Hermitian four-well potential as a realization of a PT-symmetric system by Kreibich, Manuel; Main, Jörg; Cartarius, Holger; Wunner, Günter is a scholarly article available to read on EtoBox.

What is Hermitian four-well potential as a realization of a PT-symmetric system about?

A PT-symmetric Bose-Einstein condensate can be theoretically described using a complex optical potential, however, the experimental realization of such an optical potential describing the coherent in- and outcoupling of particles is a nontrivial task. We propose an experiment for a quantum mechanical realization of a PT-symmetric system, where the PT-symmetric currents of a two-well system are implemented by coupling two additional wells to the system, which act as particle reservoirs. In terms of a simple four-mode model we derive conditions under which the two middle wells of the Hermitian four-well system behave exactly as the two wells of the PT-symmetric system. We apply these conditions to calculate stationary solutions and oscillatory dynamics. By means of frozen Gaussian wave packets we relate the Gross-Pitaevskii equation to the four-mode model and give parameters required for the external potential, which provides approximate conditions for a realistic experimental setup.

Author

Kreibich, Manuel; Main, Jörg; Cartarius, Holger; Wunner, Günter

Published

2013

Language

EN