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DY: Fachverband Dynamik und Statistische Physik
DY 53: Poster: Quantum Dynamics, Chaos and Information; Many Body Systems
DY 53.12: Poster
Donnerstag, 19. März 2020, 15:00–18:00, P1A
Interplay of quantization and chaotic behaviour in ring-coupled condensates — •Damian Wozniak1,2, Johann Kroha3, and Anna Posazhennikova1,2 — 1Institut für Physik, Universität Greifswald, 17487 Greifswald, Germany — 2Department of Physics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, United Kingdom — 3Fachbereich Physik, Universität Bonn, D-53115 Bonn, Germany
We study large rings of weakly-coupled Bose-Einstein condensates and analyse in detail their dynamics and its dependence on the system size. Since we are interested in circulating currents and their quantisation, we consider initial conditions which result in potential maximisation of such current: equal site occupation and equal phase differences between neighbouring sites. Within the Gross-Pitaevskii approximation we show that the current is quantised (exhibits sharp delta peaks) if the phase difference takes certain discrete values in the interval (Pi/2; 3Pi/2). The peaks, however, gradually average out to zero with increasing interaction due to chaos inherent to the system of many condensates. This kind of behaviour does not happen for smaller phase differences because of energetic reasons. Eventually, the quantisation ceases to occur for a macroscopic number of sites and the circular current manifests sinusoidal behaviour readily derived from the noninteracting limit. This marks the transition to the continuous limit.