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Tunneling Dynamics in Open Ultracold Bosonic Systems

Numerically Exact Dynamics – Analytical Models – Control Schemes

  • Book
  • © 2015

Overview

Authors:
  1. Axel U. J. Lode

    1. Condensed Matter Theory and Quantum Computing Group, University of Basel, Basel, Switzerland

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  • 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
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Theses (Springer Theses)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xix
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  2. Introduction

    • Axel U. J. Lode
    Pages 1-7

  3. Theoretical Concepts and Numerical Methods

    • Axel U. J. Lode
    Pages 9-34

  4. Benchmarks with Analytically Solvable Problems

    • Axel U. J. Lode
    Pages 35-53

  5. A Case Study with an Attractive BEC: Comparison of Lattice Model, Gross–Pitaevskii, and MCTDHB Predictions on a Tunneling Process

    • Axel U. J. Lode
    Pages 55-61

  6. Theoretical Considerations and Analytical Models on the Many-Body Physics of Tunneling Bosons

    • Axel U. J. Lode
    Pages 63-73

  7. Tunneling of a Many-Boson System to Open Space Without a Threshold

    • Axel U. J. Lode
    Pages 75-88

  8. Tunneling of a Many-Boson System to Open Space with a Threshold

    • Axel U. J. Lode
    Pages 89-107

  9. Final Remarks and Outlook

    • Axel U. J. Lode
    Pages 109-112

  10. Back Matter

    Pages 113-139
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Keywords

About this book

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.

Authors and Affiliations

  • Condensed Matter Theory and Quantum Computing Group, University of Basel, Basel, Switzerland

    Axel U. J. Lode

Bibliographic Information

  • Book Title: Tunneling Dynamics in Open Ultracold Bosonic Systems

  • Book Subtitle: Numerically Exact Dynamics – Analytical Models – Control Schemes

  • Authors: Axel U. J. Lode

  • Series Title: Springer Theses

  • DOI: https://doi.org/10.1007/978-3-319-07085-8

  • Publisher: Springer Cham

  • eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Hardcover ISBN: 978-3-319-07084-1Published: 14 August 2014

  • Softcover ISBN: 978-3-319-36134-5Published: 10 September 2016

  • eBook ISBN: 978-3-319-07085-8Published: 22 July 2014

  • Series ISSN: 2190-5053

  • Series E-ISSN: 2190-5061

  • Edition Number: 1

  • Number of Pages: XIX, 139

  • Number of Illustrations: 43 illustrations in colour

  • Topics: Quantum Physics, Strongly Correlated Systems, Superconductivity, Quantum Information Technology, Spintronics

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