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Quantum many-body physics of ultracold molecules in optical lattices [electronic resource] : models and simulation methods / Michael L. Wall.

Wall, Michael L., author.
2015
TA1750
Available Online
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Title
Quantum many-body physics of ultracold molecules in optical lattices [electronic resource] : models and simulation methods / Michael L. Wall.
Author
Wall, Michael L., author.
ISBN
9783319142524 electronic book
3319142526 electronic book
9783319142517
DOI
https://doi.org/10.1007/978-3-319-14252-4
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (xxx, 374 pages) : illustrations.
Item Number
10.1007/978-3-319-14252-4 doi
Call Number
TA1750
Dewey Decimal Classification
621.381/045
Summary
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.
Note
"Doctoral thesis accepted by the Colorado School of Mines, Golden, CO, USA."
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 28, 2015).
Series
Springer theses.
Available in Other Form
Print version: 9783319142517
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Part I: Introduction
General Introduction
Models for Strongly Correlated Lattice Physics
Part II: The Molecular Hubbard Hamiltonian
Emergent Timescales in Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices
Hyperfine Molecular Hubbard Hamiltonian
Part III: The Fermi Resonance Hamiltonian
Microscopic Model for Feshbach Interacting Fermions in an Optical Lattice with Arbitrary Scattering Length and Resonance Width
Part IV: Matrix Product States
Matrix Product States: Foundations
Out-of-Equilibrium Dynamics with Matrix Product States
The Infinite Size Variational Matrix Product State Algorithm
Finite Temperature Matrix Product State Algorithms and Applications
Part V: Open Source Code and Educational Materials
Open Source Code Development
Educational Materials
Part VI: Conclusions and Appendices
Conclusions and Suggestions for Future Research
Appendix A: Documentation for ALPS V2.0 TEBD Code
Appendix B: Educational Materials: A Gentle Introduction to Time Evolving Block Decimation (TEBD)
Appendix C: Educational Materials: Introduction to MPS Algorithms.

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