Regensburg 2025 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 36: Nanotubes, BEC, Cryocoolers: Poster

TT 36.6: Poster

Mittwoch, 19. März 2025, 15:00–18:00, P3

Loop current states and their stability in small fractal lattices of Bose-Einstein condensates — •Georg Koch and Anna Posazhennikova — Institut für Physik, Universität Greifswald, 17487 Greifswald , Germany

We consider a model of interacting Bose-Einstein condensates on small Sierpinski gaskets. We study eigenstates which are characterised by cyclic supercurrents per each triangular plaquette ("loop" states). For noninteracting systems we find at least three classes of loop eigenmodes: standard; chaotic and periodic. Standard modes are those inherited from the basic three-site ring of condensates with phase differences locked to 2π/3. Standard modes become unstable in the interacting system but only when the interaction exceeds a certain critical value u_c. Chaotic modes are characterised by very different circular currents per plaquette, so that the usual symmetry of loop currents is broken. Circular supercurrents associated with chaotic modes become chaotic for any finite interaction, signalling the loss of coherence between the condensates. Periodic modes are described by alternating populations and two different phase differences. The modes are self-similar and are present in all generations of Sierpinski gasket. When the interaction is included, the circular current of such a mode becomes periodic in time with the amplitude growing linearly with the interaction. Above a critical interaction the amplitude saturates signalling a transition to a macroscopic self-trapping state originally known from a usual Bose Josephson junction. We perform a systematic analysis of this rich physics.

Keywords: Bose-Einstein condensates; Fractals; Loop current