Chaos and localisation: quantum transport in periodically driven atomic systems
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| Format: | Book |
| Language: | English |
| Published: |
2003
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | München, Univ., Diss., 2004. - Binationale Dissertation |
| Physical Description: | XIV, 181 S. Ill., graph. Darst. |
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| 245 | 1 | 0 | |a Chaos and localisation |b quantum transport in periodically driven atomic systems |c von Sandro Marcel Wimberger |
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| 300 | |a XIV, 181 S. |b Ill., graph. Darst. | ||
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| 500 | |a München, Univ., Diss., 2004. - Binationale Dissertation | ||
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CONTENTS
1
INTRODUCTION
1
1.1
QUANTUM
CHAOS
AND
EXPERIMENTS
.
1
1.2
QUANTUM
TRANSPORT
IN
PERIODICALLY
DRIVEN
ATOMIC
SYSTEMS
.
2
1.2.1
ANDERSON
LOCALISATION
AND
DECAY-RATE
STATISTICS
.
4
1.2.2
QUANTUM
RESONANCES
WITH
J-KICKED
ATOMS
.
8
1.3
OUTLINE
OF
THE
THESIS
.
10
2
THEORETICAL
AND
EXPERIMENTAL
PRELIMINARIES
13
2.1
PERIODICITY
IN
TIME,
POSITION,
AND
MOMENTUM
.
13
2.1.1
FLOQUET
THEORY
.
13
2.1.2
BLOCH
THEORY
IN
POSITION
SPACE
.
14
2.2
THE
$-KICKED
ROTOR
.
15
2.2.1
THE
MODEL
.
15
2.2.2
QUANTUM
RESONANCES
.
17
2.2.3
PARTICLE
VS.
ROTOR:
BLOCH
THEORY
FOR
KICKED
ATOMS
.
19
2.3
EXPERIMENTAL
REALISATION
OF
THE
KICKED
ROTOR
MODE}
.
20
2.3.1
EXPERIMENTAL
SETUP
.
20
2.3.2
DERIVATION
OF
THE
EFFECTIVE
HAMILTONIAN
.
22
XII
CONTENTS
2.3.3
EXPERIMENTAL
IMPERFECTIONS
.
25
2.4
QUANTUM
CHAOS
AND
MICROWAVE-DRIVEN
RYDBERG
STATES
.
27
2.4.1
ATOMIC
HYDROGEN
IN
A
MICROWAVE
FIELD
.
27
2.4.2
QUANTUM-CLASSICAL
CORRESPONDENCE
.
30
PART
I
SIGNATURES
OF
ANDERSON
LOCALISATION
IN
THE
MULTIPHOTON
IONIZATION
OF
HYDROGEN
RYDBERG
ATOMS
32
3
DRIVEN
RYDBERG
ATOMS
AS
AN
OPEN
QUANTUM
SYSTEM
35
3.1
UNIVERSAL
STATISTICS
OF
DECAY
RATES
.37
3.1.1
NUMERICAL
RESULTS
.37
3.1.2
DISCUSSION
OF
DECAY-RATE
DISTRIBUTIONS
.
42
3.1.3
ALGEBRAIC
DECAY
OF
SURVIVAL
PROBABILITY
.
48
3.2
EXPERIMENTAL
TESTS
.
55
3.2.1
STATUS
QUO
.
X
.
55
3.2.2
FLOQUET
SPECTROSCOPY
.
55
3.2.3
ATOMIC
CONDUCTANCE
FLUCTUATIONS
.
57
PART
II
QUANTUM
RESONANCES
AND
THE
EFFECT
OF
DECOHERENCE
IN
THE
DYNAMICS
OF
KICKED
ATOMS
63
4
KICKED-ATOM
DYNAMICS
AT
QUANTUM
RESONANCE
65
4.1
QUANTUM
RESONANCES
IN
EXPERIMENTS
.
65
4.2
NOISE-FREE
QUANTUM
RESONANT
BEHAVIOUR
.68
4.2.1
MOMENTUM
DISTRIBUTIONS
.
70
4.2.2
AVERAGE
KINETIC
ENERGY
.
75
4.3
DESTRUCTION
OF
QUANTUM
RESONANCES
BY
DECOHERENCE
.
75
CONTENTS
XIII
4.3.1
STOCHASTIC
GAUGE
.
76
4.3.2
THEORETICAL
MODEL
FOR
RANDOMISED
DYNAMICS
.
78
4.3.3
AVERAGE
KINETIC
ENERGY
.
82
4.3.4
ASYMPTOTIC
MOMENTUM
DISTRIBUTION
.
86
4.3.5
THEORETICAL
MODEL
VS.
NUMERICAL
RESULTS
.
89
4.3.6
RECONCILIATION
WITH
EXPERIMENTAL
OBSERVATIONS
.
93
5
DYNAMICS
NEAR
TO
QUANTUM
RESONANCE
101
5.1
E
-
QUASI-CLASSICAL
APPROXIMATION
.
102
5.2
CLASSICAL
SCALING
THEORY
FOR
QUANTUM
RESONANCES
.
106
5.2.1
E
-
QUASI-CLASSICAL
ANALYSIS
OF
THE
RESONANCE
PEAKS
.
106
5.2.2
VALIDITY
OF
THE
E
-
QUASI-CLASSICAL
APPROXIMATION
.
113
5.3
CLASSICAL
SCALING
IN
PRESENCE
OF
DECOHERENCE
.
114
6
DECAY
OF
FIDELITY
FOR
6
-
KICKED
ATOMS
121
6.1
STABILITY
OF
QUANTUM
DYNAMICS
AND
EXPERIMENTAL
PROPOSAL
.
121
6.2
FIDELITY
AT
QUANTUM
RESONANCE
.
124
6.2.1
DYNAMICAL
STABILITY
IN
ABSENCE
OF
NOISE
.
124
6.2.2
FIDELITY
IN
PRESENCE
OF
DECOHERENCE
.
129
6.3
FIDELITY
NEAR
TO
QUANTUM
RESONANCE
.
133
6.4
FIDELITY
WITH
QUANTUM
ACCELERATOR
MODES
.
134
XIV
CONTENTS
7
RESUME
141
7.1
SUMMARY
OF
RESULTS
.
141
7.2
FUTURE
PERSPECTIVES
.
143
APPENDIX
147
A
ANALYSIS
OF
THE
STEADY
STATE
DISTRIBUTION
(4.15)
147
A.L
PROOF
OF
ESTIMATE
(4.16)
.
147
A.2
PROOF
OF
INEQUALITY
(A.2)
.
148
A.
3
PROOF
OF
THE
ASYMPTOTIC
FORMULA
(4.17)
.
148
B
STATISTICS
OF
THE
PROCESS
Z
M
150
B.L
INDEPENDENCE
OF
THE
VARIABLES
ZJ
.
150
B.2
CENTRAL
LIMIT
PROPERTY
.
151
C
ASYMPTOTIC
DISTRIBUTION
OF
THE
PROCESS
|WJ|
152
D
DERIVATION
OF
EQUATION
(5.26)
154
E
EXTRACTION
OF
FIDELITY
FROM
RAMSEY
FRINGES
155
F
SOME
FORMULAS
USED
IN
PART
II
157
G
PUBLICATIONS
159
BIBLIOGRAPHY
161 |
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| indexdate | 2024-08-19T00:06:41Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010724642 |
| oclc_num | 249148419 |
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| owner | DE-19 DE-BY-UBM DE-12 |
| owner_facet | DE-19 DE-BY-UBM DE-12 |
| physical | XIV, 181 S. Ill., graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
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| spelling | Wimberger, Sandro 1974- Verfasser (DE-588)128781262 aut Chaos and localisation quantum transport in periodically driven atomic systems von Sandro Marcel Wimberger 2003 XIV, 181 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier München, Univ., Diss., 2004. - Binationale Dissertation Quantenchaos - Periodische Störung Periodische Störung (DE-588)4325721-5 gnd rswk-swf Quantenchaos (DE-588)4130849-9 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenchaos (DE-588)4130849-9 s Periodische Störung (DE-588)4325721-5 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010724642&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Wimberger, Sandro 1974- Chaos and localisation quantum transport in periodically driven atomic systems Quantenchaos - Periodische Störung Periodische Störung (DE-588)4325721-5 gnd Quantenchaos (DE-588)4130849-9 gnd |
| subject_GND | (DE-588)4325721-5 (DE-588)4130849-9 (DE-588)4113937-9 |
| title | Chaos and localisation quantum transport in periodically driven atomic systems |
| title_auth | Chaos and localisation quantum transport in periodically driven atomic systems |
| title_exact_search | Chaos and localisation quantum transport in periodically driven atomic systems |
| title_full | Chaos and localisation quantum transport in periodically driven atomic systems von Sandro Marcel Wimberger |
| title_fullStr | Chaos and localisation quantum transport in periodically driven atomic systems von Sandro Marcel Wimberger |
| title_full_unstemmed | Chaos and localisation quantum transport in periodically driven atomic systems von Sandro Marcel Wimberger |
| title_short | Chaos and localisation |
| title_sort | chaos and localisation quantum transport in periodically driven atomic systems |
| title_sub | quantum transport in periodically driven atomic systems |
| topic | Quantenchaos - Periodische Störung Periodische Störung (DE-588)4325721-5 gnd Quantenchaos (DE-588)4130849-9 gnd |
| topic_facet | Quantenchaos - Periodische Störung Periodische Störung Quantenchaos Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010724642&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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