Quantum Many-Body Physics Of Ultracold Molecules In Optical Lattices: Models And Simulation Methods

Quantum Many-Body Physics Of Ultracold Molecules In Optical Lattices: Models And Simulation Methods
by Michael L. Wall / / / PDF


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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.

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