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Quantum many-body physics of ultracold molecules in optical latticesmodels and simulation methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Quantum many-body physics of ultracold molecules in optical latticesby Michael L. Wall.
Reminder of title:	models and simulation methods /
Author:	Wall, Michael L.
Published:	Cham :Springer International Publishing :2015.
Description:	xxx, 374 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Optical lattices.
Online resource:	http://dx.doi.org/10.1007/978-3-319-14252-4
ISBN:	9783319142524 (electronic bk.)

Quantum many-body physics of ultracold molecules in optical latticesmodels 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. - Cham :Springer International Publishing :2015. - xxx, 374 p. :ill., digital ;24 cm. - Springer theses,2190-5053. - Springer theses..

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 (electronic bk.)

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

510994
Optical lattices.

LC Class. No.: TA1750

Dewey Class. No.: 621.381045

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