Erlangen 2018 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 51: Poster: Quantum Optics and Photonics IV
Q 51.2: Poster
Wednesday, March 7, 2018, 16:15–18:15, Redoutensaal
Nonlinear standing waves in an array of coherently coupled 1D Bose-Einstein condensates — •Christian Baals1,2, Antonio Muñoz Mateo3, Herwig Ott1, and Joachim Brand3 — 1Department of Physics and Research Center OPTIMAS, Technische Universität Kaiserslautern, Germany — 2Graduate School Materials Science in Mainz, Germany — 3Dodd-Walls Centre for Photonics and Quantum Technologies, Centre for Theoretical Chemistry and Physics, New Zealand Institute for Advanced Study, Massey University, Auckland, New Zealand
We study the stability of dark soliton states in an array of linearly coupled 1D BECs within the Gross-Pitaevskii theory against linear excitations by solving the Bogoliubov equations. In this context we show that overlapped dark solitons can decay into patterns of Josephson vortices over the stack of Josephson junctions. By analytically solving the Bogoliubov equations for dark solitons, the Josephson vortices are demonstrated to bifurcate as nonlinear standing waves for decreasing values of the linear coupling. This result is very well confirmed by numerical studies. Furthermore, we discuss the connection with the stability of dark solitons in two dimensional systems and consider the feasibility for an experimental realisation.