Stuttgart 2012 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 1: Quantengase: Bosonen 1
Q 1.9: Vortrag
Montag, 12. März 2012, 12:30–12:45, V53.01
Complex Potential Well as a Primordial Model for a Dissipative Bose-Einstein Condensate — •Max Lewandowski1 and Axel Pelster2 — 1Institut für Physik und Astronomie, Universität Potsdam, Germany — 2Hanse-Wissenschaftskolleg, Delmenhorst, Germany
An electron beam focussed on a Bose-Einstein condensate represents a paradigmatic system to systematically study the delicate interplay
between dissipation and quantum coherence in a quantitive way [1]. As a primordial model we neglect any two-particle interaction
and consider a one-dimensional Schrödinger equation with a constant nested complex potential well. Its real part mimics the trapping, whereas
an imaginary part restricted to the center describes the particle loss.
We derive the quantization condition for the stationary states and determine numerically both the complex energy eigenvalues and eigenfunctions.
In the limit of large dissipation we find that the eigenfunctions have the tendency to extremize the loss of particles, i.e.
the particle density is limited to either the inner or the outer dissipation region.
[1] T. Gericke, P. Würtz, D. Reitz, T. Langen, and H. Ott, Nature Physics 4, 949 (2008).