Many-body Schrödinger dynamics of Bose-Einstein condensates
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Bibliographic Information
Many-body Schrödinger dynamics of Bose-Einstein condensates
（Springer theses : recognizing outstanding Ph. D. research）
Springer, c2011
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"Doctoral thesis accepted by Institute of Physical Chemistry, Theoretical Chemistry, Heidelberg University, Germany"
Description and Table of Contents
Description
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 Schroedinger 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 Schroedinger 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.
Table of Contents
General Theory.- General Methods for the Quantum Dynamics of Identical Bosons.- Lattice Models for the Quantum Dynamics of Identical Bosons.- Reduced Density Matrices and Coherence of Trapped Interacting Bosons.- Exact Quantum Dynamics of a Bosonic Josephson Junction.- Quantum Dynamics of Attractive vs. Repulsive Bosonic Josephson Junctions: Bose-Hubbard and full-Hamiltonian Results.- Optimal Time-Dependent Lattice Models for Nonequilibrium Dynamics.-Final Remarks and Outlook.-Appendices.
by "Nielsen BookData"