Introduction.- Theory and Methods.- Benchmarks with Analytically Solvable Problems.- A Case Study with an attractive BEC: Comparison of Lattice and Continuous Space Theories.- Theoretical Considerations and Analytical Models on the Many-Body Physics of Tunneling Bosons.- Many-Boson Tunneling Without a Threshold.- Many-Boson Tunneling with a Threshold.- Final Remarks.- Appendices.
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates. Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little about how a system made of several or of many particles tunnels through a barrier to open space. The present work uses numerically exact solutions of the time-dependent many-boson Schrödinger equation to explore the rich physics of the tunneling to open space process in ultracold bosonic particles that are initially prepared as a Bose-Einstein condensate and subsequently allowed to tunnel through a barrier to open space. The many-body process is built up from concurrently occurring single particle processes that are characterized by different momenta. These momenta correspond to the chemical potentials of systems with decreasing particle number. The many-boson process exhibits exciting collective phenomena: the escaping particles fragment and lose their coherence with the source and among each other, whilst correlations build up within the system. The detailed understanding of the many-body process is used to devise and test a scheme to control the final state, momentum distributions and even the correlation dynamics of the tunneling process. 160 pp. Englisch. N° de réf. du vendeur 9783319070841
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Nominated as an outstanding Ph.D. thesis by the University of Heidelberg, Germany Presents many-body physics of the tunneling dynamics of interacting ultracold bosonsGives numerically exact solutions of the time-dependent many-body Schroedin. N° de réf. du vendeur 4497774
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Buch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates. Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little abouthow a system made of several or of many particles tunnels through a barrier to open space.The presentwork usesnumerically exact solutions of the time-dependent many-boson Schrödinger equation to explore the rich physics of the tunneling to open space process in ultracold bosonic particles that are initially prepared as a Bose-Einstein condensate and subsequently allowed to tunnel through a barrier to open space. The many-body process is built up from concurrentlyoccurring single particle processes that are characterized by different momenta. These momenta correspond to the chemical potentials of systems with decreasing particle number. The many-boson process exhibits exciting collective phenomena: the escaping particlesfragment and lose their coherence with the source and among each other, whilst correlationsbuild upwithin the system. The detailed understanding of the many-body process is used to devise and test a scheme to control the final state, momentum distributions and even the correlation dynamics of the tunneling process.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 160 pp. Englisch. N° de réf. du vendeur 9783319070841
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