國立虎尾科技大學 |

Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices = Models and Simulation Methods /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices/ by Michael L. Wall.
其他題名:	Models and Simulation Methods /
作者:	Wall, Michael L.
面頁冊數:	XXX, 374 p. 68 illus., 43 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Phase transformations (Statistical physics). -
電子資源:	https://doi.org/10.1007/978-3-319-14252-4
ISBN:	9783319142524

Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices = Models and Simulation Methods /
Wall, Michael L.

Quantum Many-Body Physics of Ultracold Molecules in Optical LatticesModels and Simulation Methods /[electronic resource] :by Michael L. Wall. - 1st ed. 2015. - XXX, 374 p. 68 illus., 43 illus. in color.online resource. - Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053. - Springer Theses, Recognizing Outstanding Ph.D. Research,.

Part I: Introduction -- General Introduction -- Models for Strongly Correlated Lattice Physics -- Part II: The Molecular Hubbard Hamiltonian -- Emergent Timescales in Entangled Quantum Dynamics of Ultracold Molecules in Optical Lattices -- Hyperfine Molecular Hubbard Hamiltonian -- Part III: The Fermi Resonance Hamiltonian -- Microscopic Model for Feshbach Interacting Fermions in an Optical Lattice with Arbitrary Scattering Length and Resonance Width -- Part IV: Matrix Product States -- Matrix Product States: Foundations -- Out-of-Equilibrium Dynamics with Matrix Product States -- The Infinite Size Variational Matrix Product State Algorithm -- Finite Temperature Matrix Product State Algorithms and Applications -- Part V: Open Source Code and Educational Materials -- Open Source Code Development -- Educational Materials -- Part VI: Conclusions and Appendices -- Conclusions and Suggestions for Future Research -- Appendix A: Documentation for ALPS V2.0 TEBD Code -- Appendix B: Educational Materials: A Gentle Introduction to Time Evolving Block Decimation (TEBD) -- Appendix C: Educational Materials: Introduction to MPS Algorithms.

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.

ISBN: 9783319142524

Standard No.: 10.1007/978-3-319-14252-4doiSubjects--Topical Terms:

684853
Phase transformations (Statistical physics).

LC Class. No.: QC175.16.C6

Dewey Class. No.: 539

Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices = Models and Simulation Methods /
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