Düsseldorf 2007 – wissenschaftliches Programm

Bereiche | Tage | Auswahl | Suche | Downloads | Hilfe

Q: Fachverband Quantenoptik und Photonik

Q 64: Poster Quantengase

Q 64.13: Poster

Donnerstag, 22. März 2007, 16:30–18:30, Poster C

Solitary Excitations in Suprafluid Quantum Gases from the Viewpoint of the Kuramoto Model — •Stefan R. Arnold, Reinhold Walser, and Wolfgang P. Schleich — Institut für Quantenphysik, Universität Ulm, Germany

We examine the stability of solitons in superfluid quantum gases by means of the Kuramoto model [1,2]. This popular model of statistical physics describes the synchronization of classical oscillators with different eigen frequencies and a non-linear coupling. For example, this is experienced in every day life by the sudden synchronization of applause in a concert hall. When the coupling strength is increased beyond a critical value, a phase transition occurs.

In this presentation we will study an analogous situation by considering the time dependent excitations of the soliton [3,4] in a harmonic trap as the non-linearly coupled oscillator modes. By including quadratic corrections beyond the standard linear response calculations we can formulate a Kuramoto-like situation where different Bogoliubov modes exhibit a phase dependent coupling.

[1] U. Parlitz, A. Pikovsky, M. Rosenblum, and J. Kurths, Physik Journal 5, 33–40 (2006)

[2] S. H. Strogatz, Physica D 143, 1–20 (2000)

[3] S. Burger et al., Phys. Rev. Lett. 83, 5198–5201 (1999)

[4] J. Denschlag et al., Science 287, 97–100 (2000)