Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices

Models and Simulation Methods

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Quantum Theory
Cover of the book Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices by Michael L. Wall, Springer International Publishing
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Author: Michael L. Wall ISBN: 9783319142524
Publisher: Springer International Publishing Publication: April 20, 2015
Imprint: Springer Language: English
Author: Michael L. Wall
ISBN: 9783319142524
Publisher: Springer International Publishing
Publication: April 20, 2015
Imprint: Springer
Language: English

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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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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