Quantum many-body physics of ultracold molecules in optical lattices : models and simulation methods /

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Bibliographic Details
Author / Creator:Wall, Michael L., author.
Imprint:Cham : Springer, 2015.
©2015
Description:1 online resource (xxx, 374 pages) : illustrations (some color).
Language:English
Series:Springer theses, 2190-5053
Springer theses.
Subject:Optical lattices.
Low temperatures.
Many-body problem.
TECHNOLOGY & ENGINEERING / Electronics / Optoelectronics
Low temperatures.
Many-body problem.
Optical lattices.
Electronic books.
Electronic books.
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11093213
Hidden Bibliographic Details
ISBN:9783319142524
3319142526
9783319142517
3319142518
9783319142517
Digital file characteristics:text file PDF
Notes:"Doctoral thesis accepted by the Colorado School of Mines, Golden, CO, USA."
Includes bibliographical references.
Online resource; title from PDF title page (SpringerLink, viewed April 28, 2015).
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.
Other form:Printed edition: 9783319142517
Standard no.:10.1007/978-3-319-14252-4
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505 0 |a 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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