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Download Many-Body Schrödinger Dynamics of Bose-Einstein Condensates by Kaspar Sakmann PDF

By Kaspar Sakmann

At super low temperatures, clouds of bosonic atoms shape what's often called a Bose-Einstein condensate. lately, it has turn into transparent that many differing kinds of condensates -- so known as fragmented condensates -- exist. so one can inform even if fragmentation happens or no longer, it will be important to resolve the entire many-body Schrödinger equation, a role that remained elusive for experimentally suitable stipulations for a few years. during this thesis the 1st numerically designated options of the time-dependent many-body Schrödinger equation for a bosonic Josephson junction are supplied and in comparison to the approximate Gross-Pitaevskii and Bose-Hubbard theories. it's thereby proven that the dynamics of Bose-Einstein condensates is way extra difficult than one may count on according to those approximations. a distinct conceptual innovation during this thesis are optimum lattice versions. it truly is proven how all quantum lattice types of condensed topic physics which are according to Wannier capabilities, e.g. the Bose/Fermi Hubbard version, should be optimized variationally. This results in interesting new physics.

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Many-Body Schrödinger Dynamics of Bose-Einstein Condensates

At super low temperatures, clouds of bosonic atoms shape what's referred to as a Bose-Einstein condensate. lately, it has turn into transparent that many differing types of condensates -- so known as fragmented condensates -- exist. that allows you to inform no matter if fragmentation happens or no longer, it's important to resolve the entire many-body Schrödinger equation, a job that remained elusive for experimentally proper stipulations for a few years.

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The natural orbitals and natural geminals of the system are obtained and discussed. It is shown how the fragmentation of the condensate can be understood in terms of its natural geminals. The many-body results are compared to those of mean-field theory. The best solution within mean-field theory is obtained and the limits in which mean-field theories are valid are determined. In these limits the behavior of the correlation functions is explained within an analytical model. The results of this Chapter were first published in Ref.

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