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 referred to as a Bose-Einstein condensate. lately, it has turn into transparent that many differing kinds of condensates -- so known as fragmented condensates -- exist. with the intention to inform no matter if fragmentation happens or now not, it is important to resolve the total many-body Schrödinger equation, a role that remained elusive for experimentally suitable stipulations for a few years. during this thesis the 1st numerically distinctive suggestions 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 complicated than one could count on in accordance with those approximations. a different conceptual innovation during this thesis are optimum lattice types. it's proven how all quantum lattice types of condensed subject physics which are in line with Wannier features, e.g. the Bose/Fermi Hubbard version, will be optimized variationally. This ends up in interesting new physics.
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R p |r1 , . . , r p ; t), see Appendix B. Thus, the diagonal of g ( p) in momentum space provides information about the coherence of | (t) which is not contained in the diagonal of g ( p) in real space and vice versa. 9 First and Second Order RDMs, Correlations and Coherence The fact that many-body quantum systems interact generally via two-body interaction potentials makes the RDMs of first and second order particularly important. For example, the expectation value of any two-body operator can be represented by an integral involving the second-order RDM only, see Sect.
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