000 03095nam a22004575i 4500
001 978-3-642-22866-7
003 DE-He213
005 20140220083810.0
007 cr nn 008mamaa
008 110830s2011 gw | s |||| 0|eng d
020 _a9783642228667
_9978-3-642-22866-7
024 7 _a10.1007/978-3-642-22866-7
_2doi
050 4 _aQC175.16.C6
072 7 _aPHM
_2bicssc
072 7 _aSCI057000
_2bisacsh
072 7 _aSCI074000
_2bisacsh
082 0 4 _a539
_223
100 1 _aSakmann, Kaspar.
_eauthor.
245 1 0 _aMany-Body Schrödinger Dynamics of Bose-Einstein Condensates
_h[electronic resource] /
_cby Kaspar Sakmann.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aXII, 132 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aSpringer Theses
505 0 _aGeneral 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.
520 _aAt 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.
650 0 _aPhysics.
650 1 4 _aPhysics.
650 2 4 _aQuantum Gases and Condensates.
650 2 4 _aTheoretical, Mathematical and Computational Physics.
650 2 4 _aStrongly Correlated Systems, Superconductivity.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642228650
830 0 _aSpringer Theses
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-22866-7
912 _aZDB-2-PHA
999 _c108271
_d108271