Many-Body Schrödinger Dynamics of Bose-Einstein Condensates [recurso electrónico] / by Kaspar Sakmann.

Por: Sakmann, Kaspar [author.]Colaborador(es): SpringerLink (Online service)Tipo de material: Texto

TextoSeries Springer ThesesEditor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: XII, 132 p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642228667Tema(s): Physics | Physics | Quantum Gases and Condensates | Theoretical, Mathematical and Computational Physics | Strongly Correlated Systems, SuperconductivityFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 539 Clasificación LoC:QC175.16.C6Recursos en línea: Libro electrónico Texto

Contenidos:

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.

En: Springer eBooksResumen: 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.

Existencias ( 1 )
Notas de título ( 3 )

Existencias
Tipo de ítem	Biblioteca actual	Colección	Signatura	Copia número	Estado	Fecha de vencimiento	Código de barras
Libro Electrónico	Biblioteca Electrónica	Colección de Libros Electrónicos	QC175.16 .C6 (Browse shelf(Abre debajo))	1	No para préstamo		376564-2001

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.