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

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

Saved in:
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.
Low temperatures.
Many-body problem.
Optical lattices.
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
Table of Contents:
  • 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.

Similar Items