Overview
- Nominated by the Colorado School of Mines, USA, as an outstanding Ph.D. thesis
- Presents a newly invented Molecular Hubbard Hamiltonian (MHH) describing the quantum many-body physics of ultracold molecules in optical lattices
- Develops new algorithms dealing with dynamics and excited states in systems with long-range interactions
- Covers open-source implementations of matrix products state algorithms and educational materials to help understand such methods
Part of the book series: Springer Theses (Springer Theses)
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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.
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Table of contents (12 chapters)
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Front Matter
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Introduction
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Front Matter
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The Molecular Hubbard Hamiltonian
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Front Matter
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The Fermi Resonance Hamiltonian
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Front Matter
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Open Source Code and Educational Materials
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Front Matter
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Conclusions and Appendices
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Front Matter
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Back Matter
Authors and Affiliations
About the author
Michael Wall performed research for his thesis at the Colorado School of Mines, USA. He has since received the Nicholas Metropolis award for outstanding doctoral thesis work in computational physics and is currently a postdoctoral fellow at NIST NRC.
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Bibliographic Information
Book Title: Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices
Book Subtitle: Models and Simulation Methods
Authors: Michael L. Wall
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-3-319-14252-4
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer International Publishing Switzerland 2015
Hardcover ISBN: 978-3-319-14251-7Published: 04 May 2015
Softcover ISBN: 978-3-319-36341-7Published: 09 October 2016
eBook ISBN: 978-3-319-14252-4Published: 20 April 2015
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XXX, 374
Number of Illustrations: 25 b/w illustrations, 43 illustrations in colour
Topics: Quantum Gases and Condensates, Numerical and Computational Physics, Simulation, Atoms and Molecules in Strong Fields, Laser Matter Interaction