Universality of fragmentation in the Schr\"odinger dynamics of bosonic Josephson junctions

• Verfasst von: Sakmann, Kaspar [VerfasserIn]
• Verfasst von: Streltsov, Alexej Iwanowitsch [VerfasserIn]
• Verfasst von: Alon, Ofir E. [VerfasserIn]
• Verfasst von: Cederbaum, Lorenz S. [VerfasserIn]
• Titel: Universality of fragmentation in the Schr\"odinger dynamics of bosonic Josephson junctions
• Verf.angabe: Kaspar Sakmann, Alexej I. Streltsov, Ofir E. Alon, and Lorenz S. Cederbaum
• E-Jahr: 2014
• Jahr: 5 February 2014
• Umfang: 10 S.
• Fussnoten: Gesehen am 06.10.2020
• Titel Quelle: Enthalten in: Physical review / A
• Ort Quelle: College Park, Md., 1970
• Jahr Quelle: 2014
• Band/Heft Quelle: 89(2014) Artikel-Nummer 023602, 10 Seiten
• ISSN Quelle: 1094-1622
• DOI: doi:10.1103/PhysRevA.89.023602
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1734797037

Abstract

The many-body Schrödinger dynamics of a one-dimensional bosonic Josephson junction is investigated for up to 10 000 bosons and long times. The initial states are fully condensed and the interaction strength is weak. We report on a universal fragmentation dynamics on the many-body level: systems consisting of different numbers of particles fragment to the same value at constant mean-field interaction strength. The phenomenon manifests itself in observables such as the correlation functions of the system. We explain this universal fragmentation dynamics analytically based on the Bose-Hubbard model. We thereby show that the extent to which many-body effects become important at later times depends crucially on the initial state. Even for arbitrarily large particle numbers and arbitrarily weak interaction strength the dynamics is many-body in nature and the fragmentation universal. There is no weakly interacting limit where the Gross-Pitaevskii mean field is valid for long times.