Tunneling Dynamics in Open Ultracold Bosonic Systems
Numerically Exact Dynamics – Analytical Models – Control Schemes
Authors: Lode, Axel U. J.
Free Preview- Nominated as an outstanding Ph.D. thesis by the University of Heidelberg, Germany
- Presents many-body physics of the tunneling dynamics of interacting ultracold bosons
- Gives numerically exact solutions of the time-dependent many-body Schrödinger equation
- Addresses quantum dynamics beyond standard mean-field or lattice approximations
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- About this book
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This thesis addresses the intriguing topic of the quantum tunnelling of many-body systems such as Bose-Einstein condensates. Despite the enormous amount of work on the tunneling of a single particle through a barrier, we know very little about how a system made of several or of many particles tunnels through a barrier to open space. The present work uses numerically exact solutions of the time-dependent many-boson Schrödinger equation to explore the rich physics of the tunneling to open space process in ultracold bosonic particles that are initially prepared as a Bose-Einstein condensate and subsequently allowed to tunnel through a barrier to open space. The many-body process is built up from concurrently occurring single particle processes that are characterized by different momenta. These momenta correspond to the chemical potentials of systems with decreasing particle number. The many-boson process exhibits exciting collective phenomena: the escaping particles fragment and lose their coherence with the source and among each other, whilst correlations build up within the system. The detailed understanding of the many-body process is used to devise and test a scheme to control the final state, momentum distributions and even the correlation dynamics of the tunneling process.
- Table of contents (8 chapters)
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Introduction
Pages 1-7
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Theoretical Concepts and Numerical Methods
Pages 9-34
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Benchmarks with Analytically Solvable Problems
Pages 35-53
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A Case Study with an Attractive BEC: Comparison of Lattice Model, Gross–Pitaevskii, and MCTDHB Predictions on a Tunneling Process
Pages 55-61
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Theoretical Considerations and Analytical Models on the Many-Body Physics of Tunneling Bosons
Pages 63-73
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Table of contents (8 chapters)
- Download Sample pages 2 PDF (370.2 KB)
- Download Table of contents PDF (145.7 KB)
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Bibliographic Information
- Bibliographic Information
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- Book Title
- Tunneling Dynamics in Open Ultracold Bosonic Systems
- Book Subtitle
- Numerically Exact Dynamics – Analytical Models – Control Schemes
- Authors
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- Axel U. J. Lode
- Series Title
- Springer Theses
- Copyright
- 2015
- Publisher
- Springer International Publishing
- Copyright Holder
- Springer International Publishing Switzerland
- eBook ISBN
- 978-3-319-07085-8
- DOI
- 10.1007/978-3-319-07085-8
- Hardcover ISBN
- 978-3-319-07084-1
- Softcover ISBN
- 978-3-319-36134-5
- Series ISSN
- 2190-5053
- Edition Number
- 1
- Number of Pages
- XIX, 139
- Number of Illustrations
- 43 illustrations in colour
- Topics
