Using density matrix renormalization group to study open quantum systems:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Schlagworte: | |
| Online-Zugang: | kostenfrei http://d-nb.info/1029662819/34 https://nbn-resolving.org/urn:nbn:de:bvb:19-151691 Inhaltsverzeichnis |
| Beschreibung: | VIII, 108 S. graph. Darst. |
Internformat
MARC
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| 245 | 1 | 0 | |a Using density matrix renormalization group to study open quantum systems |c Cheng Guo |
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| 300 | |a VIII, 108 S. |b graph. Darst. | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
CONTENTS
ABSTRACT VII
ZUSAMMENFASSUNG VIII
1 INTRODUCTION 1
2 D M R G , N R G AND V M P S 5
2.1 NRG 5
2.1.1 LOGARITHMIC DISCRETIZATION 5
2.1.2 ITERATIVE DIAGONALIZATION OF THE WILSON CHAIN 7
2.2 TRADITIONAL DMRG 10
2.2.1 INFINITE DMRG 11
2.2.2 FINITE DMRG 14
2.2.3 CALCULATION OF PHYSICAL QUANTITIES 14
2.3 TIME-DEPENDENT DMRG 16
2.4 VMPS 18
2.4.1 MATRIX PRODUCT STATE 19
2.4.2 VARIATIONAL MATRIX PRODUCT STATE 21
3 LANDAU-ZENER PROBLEM 2 7
3.1 THE STANDARD LANDAU-ZENER PROBLEM 27
3.2 PUBLICATION: DMRG STUDY OF A QUANTUM IMPURITY MODEL WITH
LANDAU-ZENER TIME-DEPENDENT HAMILTONIAN 28
4 ONE- AND TWO-BATH SPIN-BOSON MODELS 35
4.1 PUBLICATION: CRITICAL AND STRONG-COUPLING PHASES IN ONE- AND
TWO-BATH SPIN-BOSON MODELS 36
4.2 ADDITIONAL RESULTS ON DETERMINING A C AND CRITICAL EXPONENTS 53
4.3 EXPLORATION OF THE POWER-LAW DISCRETIZATION 54
4.4 DYNAMICAL DETERMINATION OF THE LOCAL DIMENSION 58
4.5 THE FOLDED CHAIN SETUP OF SBM2 60
4.6 SYMMETRIES 63
4.6.1 PARITY SYMMETRY 63
HTTP://D-NB.INFO/1034495984
IMAGE 2
V I CONTENTS
4.6.2 SYMMETRY BREAKING IN VMPS GROUND STATE 64
4.6.3 IMPLEMENTATION OF PARITY SYMMETRY : 65
4.6.4 U(L) SYMMETRY IN SBM2 . 66
4.7 ENERGY FLOW DIAGRAMS 66
4.8 MPS BLOCK ENTROPY 69
4.9 CONVERGENCE CRITERION AND FURTHER IMPROVEMENT OF THE ALGORITHM 69
4.10 FOLLOW UP STUDY OF SBM2 72
5 QUANTUM TELEGRAPH NOISE M O D E L 7 5
5.1 DECOHERENCE 75
5.2 SPIN ECHO 80
5.3 SPECTROSCOPY OF PERIODIC DRIVE 80
A ZITKO-PRUSCHKE LOGARITHMIC DISCRETIZATION O F BOSON BATH 8 5
B OVERLAP O F TWO V M P S WAVE FUNCTIONS WITH DIFFERENT SHIFTS 8 7
C SNAKE - A D M R G PROGRAM 8 9
D BOSONIC V M P S PROGRAM 9 3
E LIST O F ABBREVIATION AND FREQUENTLY U S E D SYMBOLS 9 7
E . L LIST OF ABBREVIATION 97
E.2 LIST OF FREQUENTLY USED SYMBOLS 98
ACKNOWLEDGEMENTS 108
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| language | English |
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| physical | VIII, 108 S. graph. Darst. |
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| spelling | Guo, Cheng Verfasser aut Using density matrix renormalization group to study open quantum systems Cheng Guo 2012 VIII, 108 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Univ., Diss., 2012 (DE-588)4113937-9 Hochschulschrift gnd-content Erscheint auch als Online-Ausgabe urn:nbn:de:bvb:19-151691 http://edoc.ub.uni-muenchen.de/15169/ Verlag kostenfrei Volltext http://d-nb.info/1029662819/34 Langzeitarchivierung Nationalbibliothek https://nbn-resolving.org/urn:nbn:de:bvb:19-151691 Resolving-System DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025884721&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Guo, Cheng Using density matrix renormalization group to study open quantum systems |
| subject_GND | (DE-588)4113937-9 |
| title | Using density matrix renormalization group to study open quantum systems |
| title_auth | Using density matrix renormalization group to study open quantum systems |
| title_exact_search | Using density matrix renormalization group to study open quantum systems |
| title_full | Using density matrix renormalization group to study open quantum systems Cheng Guo |
| title_fullStr | Using density matrix renormalization group to study open quantum systems Cheng Guo |
| title_full_unstemmed | Using density matrix renormalization group to study open quantum systems Cheng Guo |
| title_short | Using density matrix renormalization group to study open quantum systems |
| title_sort | using density matrix renormalization group to study open quantum systems |
| topic_facet | Hochschulschrift |
| url | http://edoc.ub.uni-muenchen.de/15169/ http://d-nb.info/1029662819/34 https://nbn-resolving.org/urn:nbn:de:bvb:19-151691 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025884721&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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