Tunneling and vibrational relaxation in driven multilevel systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Aachen
Shaker
2000
|
| Schriftenreihe: | Berichte aus der Physik
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 132 S. graph. Darst. |
| ISBN: | 3826582713 |
Internformat
MARC
| LEADER | 00000nam a22000008c 4500 | ||
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| 100 | 1 | |a Thorwart, Michael |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Tunneling and vibrational relaxation in driven multilevel systems |c Michael Thorwart |
| 264 | 1 | |a Aachen |b Shaker |c 2000 | |
| 300 | |a VI, 132 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 0 | |a Berichte aus der Physik | |
| 502 | |a Zugl.: Augsburg, Univ., Diss., 2000 | ||
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Datensatz im Suchindex
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|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
1.1
EXPERIMENTS
.
2
1.2
EXISTING
THEORETICAL
APPROACHES
.
4
2
DISSIPATION
IN
QUANTUM
PHYSICS
9
2.1
THE
SYSTEM-BATH
MODEL
.
10
2.2
THE
QUANTUM
LANGEVIN
EQUATION
.
12
2.3
FEYNMAN-VERNON
INFLUENCE
FUNCTIONAL
.
15
2.4
DECOHERENCE
AND
FRICTION
.
18
3
THE
QUASIADIABATIC
PROPAGATOR
PATH
INTEGRAL
(QUAPI)
21
3.1
GENERAL
METHODOLOGY
.
22
3.2
ITERATIVE
TENSOR
MULTIPLICATION
SCHEME
.
24
3.3
DISCRETE
VARIABLE
REPRESENTATION
(DVR)
.
25
3.4
DISCUSSION
.
27
4
A
BENCHMARK
CHECK
FOR
QUAPI
29
4.1
THE
PARAMETRICALLY
DRIVEN
HARMONIC
OSCILLATOR:
ANALYTIC
SOLUTION
.
29
4.2
COMPARISON
WITH
THE
NUMERICAL
RESULTS
.
32
4.2.1
HIGH
TEMPERATURE
-
WEAK
DAMPING
(NO
DRIVING)
.
34
4.2.2
LOW
TEMPERATURE
-
STRONG
DAMPING
.
36
4.2.3
DIVERGING
DYNAMICS
.
39
4.2.4
DEPENDENCE
ON
THE
CUT-OFF
W
C
.
39
4.3
CONCLUSIONS
.
41
5
FURTHER
APPLICATIONS
OF
QUAPI:
THE
BISTABLE
POTENTIAL
43
5.1
THERMALLY
ASSISTED
RESONANT
TUNNELING
.
44
5.2
QUANTUM
STEPS
IN
HYSTERESIS
LOOPS
.
45
6
ANALYTIC
APPROACH
TO
DRIVEN
MULTILEVEL
SYSTEMS
49
6.1
REAL-TIME
PATH
INTEGRAL
IN
THE
DVR-BASIS
.
50
6.2
THE
POPULATION
OF
THE
LEFT
WELL
.
52
6.3
AN
EXAMPLE:
THE
SYMMETRIC
DOUBLE-DOUBLET
SYSTEM
.
56
6.4
GENERALIZED
NON-INTERACTING
CLUSTER
APPROXIMATION
.
60
6.5
GENERALIZED
MASTER
EQUATION
(GME)
IN
THE
DVR-BASIS
.
62
6.5.1
AN
EXAMPLE:
THE
CONTRIBUTION
OF
ONE
PATH
.
63
6.5.2
GENERAL
DERIVATION
OF
THE
GENERALIZED
MASTER
EQUATION
.
66
6.6
THE
GME
IN
LOWEST
ORDER
.
71
6.7
A
NUMERICAL
ITERATION
SCHEME
FOR
THE
GME
.
73
VI
CONTENTS
7
THE
QUANTUM
RELAXATION
RATE
79
7.1
MARKOV
APPROXIMATION
.
80
7.1.1
ANALYTIC
RESULT
FOR
THE
CASE
WITHOUT
DRIVING
.
81
7.1.2
AVERAGING
IN
THE
CASE
WITH
DRIVING
.
82
7.2
THE
QUANTUM
RELAXATION
RATE
.
83
7.3
INFLUENCE
OF HIGHER
LYING
ENERGY
STATES
.
84
7.3.1
NO
DRIVING
.
85
7.3.2
THE
INFLUENCE
OF
EXTERNAL
FORCES
.
86
7.3.3
DEPENDENCE
ON
THE
BATH
PARAMETERS
.
95
7.4
FLOW
TO
WEAK
DAMPING
.
100
8
SUMMARY
AND
OUTLOOK
105
A
THE
DISCRETE
INFLUENCE
FUNCTIONAL
109
B
NUMERICAL
CALCULATION
OF
A
QQ
,A
QP
AND
A
PP
USING
FLOQUET
'
S
THEOREM
113
C
ANALYTICAL
CALCULATION
OF
THE
BATH
CORRELATION
FUNCTION
115
C.L
THE
REAL
PART
S(T)
.
115
C.2
THE
IMAGINARY
PART
R(T)
.
117
D
HARMONIC-WELL
APPROXIMATION
119
REFERENCES
121
ACKNOWLEDGEMENT
132 |
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| author_facet | Thorwart, Michael |
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| classification_rvk | UP 1400 |
| ctrlnum | (OCoLC)48518626 (DE-599)BVBBV013530012 |
| discipline | Physik |
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| genre | (DE-588)4113937-9 Hochschulschrift gnd-content Dissiputives System gnd |
| genre_facet | Hochschulschrift Dissiputives System |
| id | DE-604.BV013530012 |
| illustrated | Illustrated |
| indexdate | 2024-08-14T00:14:51Z |
| institution | BVB |
| isbn | 3826582713 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009236386 |
| oclc_num | 48518626 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-355 DE-BY-UBR DE-188 |
| owner_facet | DE-384 DE-12 DE-355 DE-BY-UBR DE-188 |
| physical | VI, 132 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Physik |
| spelling | Thorwart, Michael Verfasser aut Tunneling and vibrational relaxation in driven multilevel systems Michael Thorwart Aachen Shaker 2000 VI, 132 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berichte aus der Physik Zugl.: Augsburg, Univ., Diss., 2000 Dissipatives System (DE-588)4209641-8 gnd rswk-swf Tunneleffekt (DE-588)4136216-0 gnd rswk-swf Pfadintegral (DE-588)4173973-5 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Dissiputives System gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 s Dissipatives System (DE-588)4209641-8 s DE-604 Dissiputives System f Tunneleffekt (DE-588)4136216-0 s Pfadintegral (DE-588)4173973-5 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009236386&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thorwart, Michael Tunneling and vibrational relaxation in driven multilevel systems Dissipatives System (DE-588)4209641-8 gnd Tunneleffekt (DE-588)4136216-0 gnd Pfadintegral (DE-588)4173973-5 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| subject_GND | (DE-588)4209641-8 (DE-588)4136216-0 (DE-588)4173973-5 (DE-588)4300046-0 (DE-588)4113937-9 |
| title | Tunneling and vibrational relaxation in driven multilevel systems |
| title_auth | Tunneling and vibrational relaxation in driven multilevel systems |
| title_exact_search | Tunneling and vibrational relaxation in driven multilevel systems |
| title_full | Tunneling and vibrational relaxation in driven multilevel systems Michael Thorwart |
| title_fullStr | Tunneling and vibrational relaxation in driven multilevel systems Michael Thorwart |
| title_full_unstemmed | Tunneling and vibrational relaxation in driven multilevel systems Michael Thorwart |
| title_short | Tunneling and vibrational relaxation in driven multilevel systems |
| title_sort | tunneling and vibrational relaxation in driven multilevel systems |
| topic | Dissipatives System (DE-588)4209641-8 gnd Tunneleffekt (DE-588)4136216-0 gnd Pfadintegral (DE-588)4173973-5 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| topic_facet | Dissipatives System Tunneleffekt Pfadintegral Quantenmechanisches System Hochschulschrift Dissiputives System |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009236386&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT thorwartmichael tunnelingandvibrationalrelaxationindrivenmultilevelsystems |