Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices

Models and Simulation Methods

Inbunden, Engelska, 2015

Av Michael L. Wall, Michael L Wall

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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.

Produktinformation

Utgivningsdatum2015-05-04
Mått155 x 235 x 28 mm
Vikt770 g
FormatInbunden
SpråkEngelska
SerieSpringer Theses
Antal sidor374
Upplaga2015
FörlagSpringer International Publishing AG
ISBN9783319142517

Tillhör följande kategorier

Matematisk fysik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik
Kvantfysik inom Naturvetenskap och teknik
Materietillstånd inom Naturvetenskap och teknik

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.