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Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices Models and Simulation Methods /

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 genera...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Wall, Michael L. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Springer Theses, Recognizing Outstanding Ph.D. Research,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.