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A: Fachverband Atomphysik

A 40: Poster: Ultra-cold atoms, ions and BEC

A 40.10: Poster

Donnerstag, 15. März 2012, 16:30–19:00, Poster.V

Variational methods for Bose-Einstein condensates in PT symmetric double well potentials — •Dennis Dast, Daniel Haag, Holger Cartarius, and Günter Wunner — 1. Institut für Theoretische Physik, Universität Stuttgart, 70550 Stuttgart, Germany

PT symmetric Hamiltonians can have entirely real spectra [1]. Recently this has been widely studied in optical microwave guide systems with a complex refractive index [2]. However, it would be highly interesting to investigate real quantum systems that are experimentally accessible. Such a system is a Bose-Einstein condensate in a double well potential, where particles are removed in one well and injected into the other well. We examine this system by variational methods. The time-dependent variational principle is used to search stationary solutions of the nonlinear Gross-Pitaevskii equation. In addition this ansatz offers the possibility of investigating the dynamics of the system.

[1] C. M. Bender, and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998)

[2] C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, and D. Kip, Nature Physics 6, 198 (2010)