Ultracold quantum gases in three-dimensional optical lattice potentials:
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
2003
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | München, Univ., Diss., 2003 |
| Beschreibung: | II, 121 S. Ill., graph. Darst. |
Internformat
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Datensatz im Suchindex
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CONTENTS
1 INTRODUCTION 1
2 BOSE-EINSTEIN CONDENSATION IN A WEAKLY INTERACTING GAS OF ATOMS 5
2.1 THEORY OF A BOSE-EINSTEIN CONDENSATES. 5
2.1.1 NONINTERACTING BOSE GAS. 5
2.1.2 INTERACTION IN A COLD DILUTE GAS. 6
2.1.3 WEAKLY INTERACTING BOSE GAS. 7
2.1.4 PATHS TOWARDS STRONGLY CORRELATED BOSE SYSTEMS. 8
2.2 EXPERIMENTAL SETUP FOR A 87RB BOSE-EINSTEIN CONDENSATE. 10
2.2.1 MAGNETO OPTICAL TRAP. 10
2.2.2 MAGNETIC TRAP SETUP. 10
2.2.3 VACUUM CHAMBER. 15
2.2.4 LASER SYSTEM. 15
2.2.5 TIME OF FLIGHT ABSORPTION IMAGING. 16
2.2.6 EXPERIMENTAL SEQUENCE. 17
3 SUPERFLUID BOSE-EINSTEIN CONDENSATES IN OPTICAL LATTICE POTENTIALS 19
3.1 THEORY OF OPTICAL LATTICES. 20
3.1.1 OPTICAL DIPOLE POTENTIALS. 20
3.1.2 PERIODIC LATTICE POTENTIALS. 24
3.1.3 BLOCH BANDS . 28
3.1.4 WANNIER FUNCTIONS . 31
3.1.5 GROUND STATE WAVE FUNCTION OF A BEC IN AN OPTICAL LATTICE. 33
3.2 CREATING MULTIDIMENSIONAL OPTICAL LATTICE POTENTIALS. 37
3.2.1 LASER BEAM SETUP. 37
3.2.2 LASER SYSTEM . . .'. 38
3.3 BEC IN AN OPTICAL LATTICE POTENTIAL. 40
3.3.1 ADIABATIC LOADING OF A BEC INTO A LATTICE POTENTIAL . 40
3.3.2 REVEALING THE MOMENTUM DISTRIBUTION. 41
3.3.3
S
-WAVE SCATTERING. 44
3.3.4 GEOMETRICAL STRUCTURE FACTOR.^. 46
3.3.5 OBSERVING BLOCH OSCILLATIONS. 47
3.3.6 MEASUREMENT OF THE BAND POPULATION. 49
4 QUANTUM PHASE TRANSITION FROM A SUPERFLUID TO A MOTT INSULATOR 55
4.1 BOSE-HUBBARD MODEL OF INTERACTING BOSONS IN A LATTICE . 55
4.1.1 BOSE-HUBBARD HAMILTONIAN . 55
I
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/967768748
CONTENTS
4.1.2 SUPERFLUID AND MOTT INSULATING GROUND STATE. 56
4.1.3 QUANTUM PHASE TRANSITION . 60
4.1.4 BOSE HUBBARD PHASE DIAGRAM . 61
4.1.5 GUTZWILLER APPROXIMATION . 62
4.1.6 GROUND STATE OF AN INHOMOGENEOUS SYSTEM . 63
4.1.7 EXCITATION SPECTRUM . 66
4.2 EXPERIMENTAL OBSERVATION OF THE QUANTUM PHASE TRANSITION. 68
4.2.1 BEC IN A 3D LATTICE - A NEARLY IDEAL REALIZATION OF THE
BOSE-HUBBARD
HAMILTONIAN . 68
4.2.2 EXPERIMENTAL PARAMETERS. 69
4.2.3 ENTERING THE MOTT INSULATOR REGIME. 69
4.2.4 RESTORING PHASE COHERENCE.
73
4.2.5 PROBING THE GAP IN THE EXCITATION SPECTRUM. 75
4.2.6 DETERMINATION OF THE TRANSITION POINT. 80
5 COLLAPSE AND REVIVAL OF A MACROSCOPIC MATTER WAVE FIELD 81
5.1 THEORY OF THE COLLAPSE AND REVIVAL. 81
5.1.1 COLD COLLISIONS. 81
5.1.2 COHERENT STATES. 82
5.1.3 DYNAMICAL EVOLUTION OF A COHERENT STATE WITH INTERACTIONS. 83
5.1.4 VISUALIZATION OF THE TIME EVOLUTION. 84
5.2 EXPERIMENTAL REALIZATION. 85
5.2.1 CREATING AN ARRAY OF COHERENT STATES. 87
5.2.2 TIME EVOLUTION OF THE MULTIPLE MATTER WAVE INTERFERENCE PATTERN .
. 89
5.2.3 PRECISION MEASUREMENT OF THE ONSITE INTERACTION. 94
5.3 NUMBER SQUEEZING OF A BEC IN AN OPTICAL LATTICE. 95
5.3.1 GUTZWILLER CALCULATION OF SUB POISSONIAN ATOM NUMBER STATISTICS .
95
5.3.2 MEASUREMENT OF SUB POISSONIAN ATOM NUMBER STATISTICS. 100
6 OUTLOOK
105
7 APPENDIX
109
7.1 LEVEL SCHEME FOR
87RB. 109
7.2 DATAON87RB. HO
II |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV017249298 |
| illustrated | Illustrated |
| indexdate | 2024-11-22T17:37:31Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010398590 |
| oclc_num | 249591962 |
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| owner_facet | DE-19 DE-BY-UBM DE-12 |
| physical | II, 121 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
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| spelling | Greiner, Markus 1973- Verfasser (DE-588)124741495 aut Ultracold quantum gases in three-dimensional optical lattice potentials Markus Greiner 2003 II, 121 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Univ., Diss., 2003 Rubidiumatom - Bose-Einstein-Kondensation - Phasenumwandlung Phasenumwandlung (DE-588)4132140-6 gnd rswk-swf Rubidiumatom (DE-588)4178577-0 gnd rswk-swf Bose-Einstein-Kondensation (DE-588)4402897-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Rubidiumatom (DE-588)4178577-0 s Bose-Einstein-Kondensation (DE-588)4402897-0 s Phasenumwandlung (DE-588)4132140-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010398590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Greiner, Markus 1973- Ultracold quantum gases in three-dimensional optical lattice potentials Rubidiumatom - Bose-Einstein-Kondensation - Phasenumwandlung Phasenumwandlung (DE-588)4132140-6 gnd Rubidiumatom (DE-588)4178577-0 gnd Bose-Einstein-Kondensation (DE-588)4402897-0 gnd |
| subject_GND | (DE-588)4132140-6 (DE-588)4178577-0 (DE-588)4402897-0 (DE-588)4113937-9 |
| title | Ultracold quantum gases in three-dimensional optical lattice potentials |
| title_auth | Ultracold quantum gases in three-dimensional optical lattice potentials |
| title_exact_search | Ultracold quantum gases in three-dimensional optical lattice potentials |
| title_full | Ultracold quantum gases in three-dimensional optical lattice potentials Markus Greiner |
| title_fullStr | Ultracold quantum gases in three-dimensional optical lattice potentials Markus Greiner |
| title_full_unstemmed | Ultracold quantum gases in three-dimensional optical lattice potentials Markus Greiner |
| title_short | Ultracold quantum gases in three-dimensional optical lattice potentials |
| title_sort | ultracold quantum gases in three dimensional optical lattice potentials |
| topic | Rubidiumatom - Bose-Einstein-Kondensation - Phasenumwandlung Phasenumwandlung (DE-588)4132140-6 gnd Rubidiumatom (DE-588)4178577-0 gnd Bose-Einstein-Kondensation (DE-588)4402897-0 gnd |
| topic_facet | Rubidiumatom - Bose-Einstein-Kondensation - Phasenumwandlung Phasenumwandlung Rubidiumatom Bose-Einstein-Kondensation Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010398590&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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