TitleMany-Body Schr??dinger Dynamics of Bose-Einstein Condensates
Author(s)Sakmann, Kaspar
PublicationBerlin, Heidelberg, Springer Berlin Heidelberg, 2011.
DescriptionXII, 132 p : online resource
Abstract NoteAt extremely low temperatures, clouds of bosonic atoms form what is known as a Bose-Einstein condensate. Recently, it has become clear that many different types of condensates?? -- so called fragmented condensates -- exist. In order to tell whether fragmentation occurs or not, it is necessary to solve the full many-body Schr??dinger equation, a task that remained elusive for experimentally relevant conditions for many years. In this thesis the first numerically exact solutions of the time-dependent many-body Schr??dinger equation for a bosonic Josephson junction are provided and compared to the approximate Gross-Pitaevskii and Bose-Hubbard theories. It is thereby shown that the dynamics of?? Bose-Einstein condensates is far more intricate than one would anticipate based on these approximations. A special conceptual innovation in this thesis are optimal lattice models. It is shown how all quantum lattice models of condensed matter physics that are based on Wannier functions, e.g. the?? Bose/Fermi Hubbard model, can be optimized variationally. This leads to exciting new physics
ISBN,Price9783642228667
Keyword(s)1. Condensed materials 2. EBOOK 3. EBOOK - SPRINGER 4. MATHEMATICAL PHYSICS 5. Phase transformations (Statistical physics) 6. Quantum Gases and Condensates 7. Strongly Correlated Systems, Superconductivity 8. SUPERCONDUCTIVITY 9. SUPERCONDUCTORS 10. Theoretical, Mathematical and Computational Physics
Item TypeeBook
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