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Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices

Models and Simulation Methods

Michael L. Wall

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Naturwissenschaften, Medizin, Informatik, Technik / Theoretische Physik

Beschreibung

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.

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Schlagwörter

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