Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices

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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• Física atómica e molecular
• Física Matemática
• A física quântica (mecânica quântica e teoria quântica de campos)

Award-winning PhD Thesis;Computational Many-body Physics Research;Matrix Product State Algorithms;Molecular Hubbard Hamiltonian (MHH);Numerical Methods in Matrix Product States;Open-source Matrix Product State Codes;Research in Matrix Product States;Ultracold Molecules in Optical Lattices