Bonn 2020 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 4: Other Topics in Gravitational Physics

GR 4.2: Talk

Monday, March 30, 2020, 17:30–17:45, H-HS IX

Rogue waves in a selfgravitating BEC — •Sandro Gödtel and Claus Lämmerzahl — ZARM, University of Bremen, Germany

The coupling between gravity and quantum mechanics is still an open question in physics. As an example, we explore self-gravitational effects within a Bose-Einstein condensate. Such a system is described by the Gross-Pitaevskii-Newton equation which was first introduced as a concept of boson stars. The nonlinearity of the particle interaction causes special phenomena like rogue waves. Originally observed in ocean waves these waves are able to increase the density locally. For a mathematical description we use the common model called the Peregrine soliton. In our work, we show that these solutions indeed exist in a BEC and estimate the size of these waves with typical experimental values. Additionally, we determine the gravitational impact on the condensate due to the higher density and we show at which values the gravitational self-interaction becomes significant and observable.