Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices
Models and Simulation Methods
Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Quantum Theory
| 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.
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.
