Hannover 2020 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 5: Ultracold atoms, ions, and BEC I (joint session A/Q)
Q 5.7: Talk
Monday, March 9, 2020, 12:45–13:00, f303
Squeezed-field path-integral description of a BEC — •Ilias Mir Heliassudin Seifie1,2, Vijay Pal Singh1,2,3, and Ludwig Mathey1,2,3 — 1Center for Optical Quantum Technologies, University of Hamburg, Germany — 2The Hamburg Center for Ultrafast Imaging, Germany — 3Institute of Laser Physics, University of Hamburg, Germany
We propose a generalization of the Feynman path integral using squeezed coherent states. In fact, the introduction of the squeezing parameter into the path integral enhances the adaptability of the theoretical model to the physical system. Therefore, our method can be applied to any analytical and numerical approach that is based on the path-integral representation. We apply this approach to the dynamics of Bose-Einstein condensates. In the low energy regime of a BEC, we obtain a generalization of the linearized Gross Pitaevskii equation, containing coherent and squeezing fields, and a description of second sound in weakly interacting condensates as a squeezing oscillation of the order parameter. In the higher energy and finite temperature regime, we analyze the coupling between the two fields and develope corresponding numerical and analytical methods.