Tunneling dynamics in open ultracold bosonic systems : numerically exact dynamics, analytical models, and control schemes /: numerically exact dynamics, analytical models, and control schemes. ([2014])

• Record Type: Book
• Further Information: Note: Axel U.J. Lode.
• Authors: Lode, Axel U. J
• Contents: Supervisor's Foreword; Acknowledgments; Supplementary Material; Contents; Acronyms; 1 Introduction; 1.1 Bose -- Einstein Condensation; 1.2 The Many-Body Physics of Tunneling; 1.3 Theoretical Description of Quantum Many-Body Systems; 1.4 Structure of this Thesis; References; 2 Theoretical Concepts and Numerical Methods; 2.1 The Schrödinger Equation from a Many-Body Perspective; 2.1.1 Second Quantization; 2.1.2 Quantities of Interest; 2.2 Theoretical Methods Employing the Full Many-Boson Hamiltonian; 2.2.1 The Time-Dependent Variational Principle. 2.2.2 The Time-Dependent Gross -- Pitaevskii Equation2.2.3 Best Mean-Field; 2.2.4 The Multiconfigurational Time-Dependent Hartree Method for Bosons; 2.3 Theoretical Methods Employing Model Hamiltonians; 2.3.1 Bose -- Hubbard and Time-Evolved Block Decimation; 2.3.2 The Discrete Non-Linear Schrödinger Equation; 2.4 Numerical Methods; 2.4.1 The Multiconfigurational Time-Dependent Hartree for Bosons Software Package; References; 3 Benchmarks with Analytically Solvable Problems; 3.1 The Harmonic Interaction Model; 3.2 Benchmark Studies with the Harmonic Interaction Model; 3.2.1 One-Dimensional HIM. 3.2.2 Two-Dimensional HIM3.3 Dynamics of an Interaction Quench in the Harmonic Interaction Model; 3.4 Comment on the Effects of the Separability of the Harmonic Interaction Model; 3.5 Discussion and Summary of the Benchmark with the Harmonic Interaction Model; References; 4 A Case Study with an Attractive BEC: Comparison of Lattice Model, Gross -- Pitaevskii, and MCTDHB Predictions on a Tunneling Process; 4.1 Mapping of Discrete and Continuous Space Problems; 4.2 Comparison of DNLS, BH, TDGP and MCTDHB Dynamics; References. 5 Theoretical Considerations and Analytical Models on the Many-Body Physics of Tunneling Bosons5.1 Analytical Considerations within the Gross -- Pitaevskii Approximation; 5.2 Analytical Considerations Beyond Gross -- Pitaevskii; 5.2.1 Decomposition of Hilbert Space into Subspaces; 5.2.2 Model for the Energetics of the Many-Body Physics of Tunneling to Open Space; 5.2.3 Model with Two Momenta from Single-Particle States; References; 6 Tunneling of a Many-Boson System to Open Space Without a Threshold; 6.1 One-Body Density and Integrals on It; 6.2 Momentum Distributions. 6.3 Coherence from Natural Occupations and Correlation Functions6.4 Tunneling without a Threshold and Stronger Interactions; 6.5 Direct Detection of the Momentum Spectra; 6.6 Comparison of Numerics and Models; References; 7 Tunneling of a Many-Boson System to Open Space with a Threshold; 7.1 Setup; 7.2 Threshold Potentials and Their Dynamics from the Point of View of Energetics; 7.3 Controlling the Dynamics of Two Bosons by the Threshold; 7.4 Controlling the Dynamics of Three Bosons by the Interactions; 7.4.1 Nonescape Probabilities.
• Publisher Details: Cham : Springer
• Publication Date: 2014
• Copyright Date: 2015
• Extent: 1 online resource (xix, 139 pages), color illustrations
• Subjects: 530.4/16; Physics; Tunneling (Physics); Quantum theory; Interacting boson models; Bosons; SCIENCE -- Energy; SCIENCE -- Mechanics -- General; SCIENCE -- Physics -- General; Bosons; Interacting boson models; Quantum theory; Tunneling (Physics); Technology & Engineering -- Superconductors & Superconductivity; Computers -- Information Technology; Semi-conductors & super-conductors; Quantum physics (quantum mechanics & quantum field theory); Science -- Quantum Theory; Electronic books
• Languages: English
• ISBNs: 9783319070858; 3319070851; 3319070843; 9783319070841
• Related ISBNs: 9783319070841
• Notes: Note: Includes bibliographical references at the end of each chapters and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed August 6, 2014).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.