Overview

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 Schrödinger 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 Schrödinger 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.

Full Product Details

Author:   Kaspar Sakmann
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   2011 ed.
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.389kg
ISBN:  

9783642228650

ISBN 10:   3642228658
Pages:   132
Publication Date:   01 September 2011
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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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.

Reviews

From the reviews: The work under the present review is a doctoral thesis of the well-known Heidelberg University. The topic treated in the 130-page thesis is of great value with several respects. ... Final remarks and outlook complete the thesis together with 6 useful appendices. In addition to extensive references at the end of the first 8 chapters there is a brief bibliography and the Scholar's biography. Colourful figures are very interesting and informative, indeed. (Paninjukunnath Achuthan, Zentralblatt MATH, Vol. 1233, 2012)

From the reviews: The work under the present review is a doctoral thesis of the well-known Heidelberg University. The topic treated in the 130-page thesis is of great value with several respects. ... Final remarks and outlook complete the thesis together with 6 useful appendices. In addition to extensive references at the end of the first 8 chapters there is a brief bibliography and the Scholar's biography. Colourful figures are very interesting and informative, indeed. (Paninjukunnath Achuthan, Zentralblatt MATH, Vol. 1233, 2012)

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