Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices
Models and Simulation Methods
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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.
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.
Nominated by the Colorado School of Mines, USA, as an outstanding Ph.D. thesis Presents a newly invented Molecular Hubbard Hamiltonian (MHH) describing the quantum many-body physics of ultracold molecules in optical lattices Develops new algorithms dealing with dynamics and excited states in systems with long-range interactions Covers open-source implementations of matrix products state algorithms and educational materials to help understand such methods
Autor*in
Michael L. Wall
Themen in »Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices«
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