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

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

by Michael L. Wall


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Product Details

ISBN-13: 9783319142517
Publisher: Springer International Publishing
Publication date: 04/20/2015
Series: Springer Theses
Edition description: 2015
Pages: 374
Product dimensions: 6.10(w) x 9.25(h) x 0.04(d)

About the Author

Michael Wall performed research for his thesis at the Colorado School of Mines, USA. He has since received the Nicholas Metropolis award for outstanding doctoral thesis work in computational physics and is currently a postdoctoral fellow at NIST NRC.

Table of Contents

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.

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