LEADER 04349nam 22006615 450 001 9910300425703321 005 20200629213316.0 010 $a3-319-14252-6 024 7 $a10.1007/978-3-319-14252-4 035 $a(CKB)3710000000402764 035 $a(EBL)2120619 035 $a(OCoLC)908030518 035 $a(SSID)ssj0001501687 035 $a(PQKBManifestationID)11848449 035 $a(PQKBTitleCode)TC0001501687 035 $a(PQKBWorkID)11446597 035 $a(PQKB)11321371 035 $a(DE-He213)978-3-319-14252-4 035 $a(MiAaPQ)EBC2120619 035 $a(PPN)185491006 035 $a(EXLCZ)993710000000402764 100 $a20150418d2015 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aQuantum Many-Body Physics of Ultracold Molecules in Optical Lattices $eModels and Simulation Methods /$fby Michael L. Wall 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (391 p.) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 300 $aDescription based upon print version of record. 311 $a3-319-14251-8 320 $aIncludes bibliographical references. 327 $aPart 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. 330 $aThis thesis investigates ultracold molecules as a resource for novel quantum many-body physics, in particular by utilizing their rich internal structure and strong, long-range dipole-dipole interactions. In addition, numerical methods based on matrix product states are analyzed in detail, and general algorithms for investigating the static and dynamic properties of essentially arbitrary one-dimensional quantum many-body systems are put forth. Finally, this thesis covers open-source implementations of matrix product state algorithms, as well as educational material designed to aid in the use of understanding such methods. 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aPhase transformations (Statistical physics) 606 $aCondensed matter 606 $aPhysics 606 $aAtoms 606 $aQuantum Gases and Condensates$3https://scigraph.springernature.com/ontologies/product-market-codes/P24033 606 $aNumerical and Computational Physics, Simulation$3https://scigraph.springernature.com/ontologies/product-market-codes/P19021 606 $aAtoms and Molecules in Strong Fields, Laser Matter Interaction$3https://scigraph.springernature.com/ontologies/product-market-codes/P24025 615 0$aPhase transformations (Statistical physics) 615 0$aCondensed matter. 615 0$aPhysics. 615 0$aAtoms. 615 14$aQuantum Gases and Condensates. 615 24$aNumerical and Computational Physics, Simulation. 615 24$aAtoms and Molecules in Strong Fields, Laser Matter Interaction. 676 $a530.1 700 $aWall$b Michael L$4aut$4http://id.loc.gov/vocabulary/relators/aut$0792514 906 $aBOOK 912 $a9910300425703321 996 $aQuantum Many-Body Physics of Ultracold Molecules in Optical Lattices$91772315 997 $aUNINA