Springer Theses

Tunneling Dynamics in Open Ultracold Bosonic Systems

Numerically Exact Dynamics – Analytical Models – Control Schemes

Authors: Lode, Axel U. J.

  • 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
see more benefits

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-07085-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-07084-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 28, 2016
  • ISBN 978-3-319-36134-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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.

Table of contents (8 chapters)

  • Introduction

    Lode, Axel U. J.

    Pages 1-7

  • Theoretical Concepts and Numerical Methods

    Lode, Axel U. J.

    Pages 9-34

  • Benchmarks with Analytically Solvable Problems

    Lode, Axel U. J.

    Pages 35-53

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

    Lode, Axel U. J.

    Pages 55-61

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

    Lode, Axel U. J.

    Pages 63-73

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-3-319-07085-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-3-319-07084-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 28, 2016
  • ISBN 978-3-319-36134-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Tunneling Dynamics in Open Ultracold Bosonic Systems
Book Subtitle
Numerically Exact Dynamics – Analytical Models – Control Schemes
Authors
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 and Tables
43 illustrations in colour
Topics