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Titlebook: Many-Body Schr?dinger Dynamics of Bose-Einstein Condensates; Kaspar Sakmann Book 2011 Springer-Verlag Berlin Heidelberg 2011 Bosonic Jose

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書目名稱Many-Body Schr?dinger Dynamics of Bose-Einstein Condensates
編輯Kaspar Sakmann
視頻videohttp://file.papertrans.cn/624/623686/623686.mp4
概述A new theoretical approach to understanding the dynamics of Bose-Einstein condensates.Develops optimized models that are shown to perform better than conventional models.Nominated as an outstanding co
叢書名稱Springer Theses
圖書封面Titlebook: Many-Body Schr?dinger Dynamics of Bose-Einstein Condensates;  Kaspar Sakmann Book 2011 Springer-Verlag  Berlin Heidelberg 2011 Bosonic Jose
描述.At 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..
出版日期Book 2011
關(guān)鍵詞Bosonic Josephson junction; Exact solution Schr?dinger equation; Fragmented condensates; Many-body Bose
版次1
doihttps://doi.org/10.1007/978-3-642-22866-7
isbn_softcover978-3-642-27105-2
isbn_ebook978-3-642-22866-7Series ISSN 2190-5053 Series E-ISSN 2190-5061
issn_series 2190-5053
copyrightSpringer-Verlag Berlin Heidelberg 2011
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,Quantum Dynamics of Attractive Versus Repulsive Bosonic Josephson Junctions: Bose–Hubbard and Full-–Hubbard model and by numerically-exact computations of the full many-body Hamiltonian. A symmetry present in the Bose–Hubbard Hamiltonian dictates an equivalence between the evolution in time of attractive and repulsive Josephson junctions with attractive and repulsive interactions of equal magnitu
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Book 2011erent 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 fir
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Optimal Time-Dependent Lattice Models for Nonequilibrium Dynamics,odels from the variational principle we show that it is possible to exploit the additional freedom introduced by allowing the Wannier functions to depend on time, to improve the lattice model. Since all parameters are then determined by the variational principle the lattice model becomes optimal.
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2190-5053 tter than conventional models.Nominated as an outstanding co.At 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
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