Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices

Models and Simulation Methods

  • Michael L.¬†Wall

Part of the Springer Theses book series (Springer Theses)

Table of contents

  1. Front Matter
    Pages i-xxx
  2. Introduction

    1. Front Matter
      Pages 1-1
    2. Michael L. Wall
      Pages 3-36
  3. The Molecular Hubbard Hamiltonian

  4. The Fermi Resonance Hamiltonian

  5. Matrix Product States

    1. Front Matter
      Pages 139-139
    2. Michael L. Wall
      Pages 141-176
  6. Open Source Code and Educational Materials

    1. Front Matter
      Pages 253-253
    2. Michael L. Wall
      Pages 255-271
    3. Michael L. Wall
      Pages 273-281
  7. Conclusions and Appendices

    1. Front Matter
      Pages 283-283
    2. Michael L. Wall
      Pages 285-290
  8. Back Matter
    Pages 291-374

About this book


This thesis investigates ultracold molecules as a resource for novel quantum many-body physics, in particular by utilizing their rich internal structure and strong, long-range dipole-dipole interactions. In addition, numerical methods based on matrix product states are analyzed in detail, and general algorithms for investigating the static and dynamic properties of essentially arbitrary one-dimensional quantum many-body systems are put forth. Finally, this thesis covers open-source implementations of matrix product state algorithms, as well as educational material designed to aid in the use of understanding such methods.


Award-winning PhD Thesis Computational Many-body Physics Research Matrix Product State Algorithms Molecular Hubbard Hamiltonian (MHH) Numerical Methods in Matrix Product States Open-source Matrix Product State Codes Research in Matrix Product States Ultracold Molecules in Optical Lattices

Authors and affiliations

  • Michael L.¬†Wall
    • 1
  1. 1.Colorado School of Mines, Golden, CO, USA and JILA, NIST, and University of ColoradoBoulderUSA

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-14251-7
  • Online ISBN 978-3-319-14252-4
  • Series Print ISSN 2190-5053
  • Series Online ISSN 2190-5061
  • Buy this book on publisher's site