Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices: Models and Simulation Methods (Springer Theses)

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en Limba Engleză Carte Hardback – 04 May 2015
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.
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ISBN-13: 9783319142517
ISBN-10: 3319142518
Pagini: 510
Ilustrații: 25 schwarz-weiße und 43 farbige Abbildungen, 6 schwarz-weiße Tabellen, Bibliographie
Dimensiuni: 155 x 235 x 22 mm
Greutate: 8.01 kg
Ediția: 2015
Editura: Springer
Colecția Springer
Seria Springer Theses

Locul publicării: Cham, Switzerland

Public țintă



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.


Nominated by the Colorado School of Mines, USA, as an outstanding Ph.D. thesis
Presents a newly invented Molecular Hubbard Hamiltonian (MHH) describing the quantum many-body physics of ultracold molecules in optical lattices
Develops new algorithms dealing with dynamics and excited states in systems with long-range interactions
Covers open-source implementations of matrix products state algorithms and educational materials to help understand such methods