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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Wall, Michael L. (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2015.
Σειρά:Springer Theses, Recognizing Outstanding Ph.D. Research,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.