04349nam 22006615 450 991030042570332120200629213316.03-319-14252-610.1007/978-3-319-14252-4(CKB)3710000000402764(EBL)2120619(OCoLC)908030518(SSID)ssj0001501687(PQKBManifestationID)11848449(PQKBTitleCode)TC0001501687(PQKBWorkID)11446597(PQKB)11321371(DE-He213)978-3-319-14252-4(MiAaPQ)EBC2120619(PPN)185491006(EXLCZ)99371000000040276420150418d2015 u| 0engur|n|---|||||txtccrQuantum Many-Body Physics of Ultracold Molecules in Optical Lattices Models and Simulation Methods /by Michael L. Wall1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (391 p.)Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Description based upon print version of record.3-319-14251-8 Includes bibliographical references.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.Springer Theses, Recognizing Outstanding Ph.D. Research,2190-5053Phase transformations (Statistical physics)Condensed matterPhysicsAtomsQuantum Gases and Condensateshttps://scigraph.springernature.com/ontologies/product-market-codes/P24033Numerical and Computational Physics, Simulationhttps://scigraph.springernature.com/ontologies/product-market-codes/P19021Atoms and Molecules in Strong Fields, Laser Matter Interactionhttps://scigraph.springernature.com/ontologies/product-market-codes/P24025Phase transformations (Statistical physics)Condensed matter.Physics.Atoms.Quantum Gases and Condensates.Numerical and Computational Physics, Simulation.Atoms and Molecules in Strong Fields, Laser Matter Interaction.530.1Wall Michael Lauthttp://id.loc.gov/vocabulary/relators/aut792514BOOK9910300425703321Quantum Many-Body Physics of Ultracold Molecules in Optical Lattices1772315UNINA