Driven tunneling dynamics of dissipative two-state quantum systems:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Aachen
Shaker
2000
|
| Series: | Berichte aus der Physik
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Zugl.: Augsburg, Univ., Diss., 2000 |
| Physical Description: | II, 116 S. graph. Darst. |
| ISBN: | 3826578724 |
Staff View
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| 245 | 1 | 0 | |a Driven tunneling dynamics of dissipative two-state quantum systems |c Ludwig Hartmann |
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| 300 | |a II, 116 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 0 | |a Berichte aus der Physik | |
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Record in the Search Index
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|---|---|
| adam_text |
CONTENTS
1
INTRODUCTION
1
2
QUANTUM
MECHANICS
OF
DISSIPATIVE
SYSTEMS
5
2.1
THE
HARMONIC
OSCILLATOR
HEAT
BATH
.
5
2.1.1
DENSITY
OPERATORS
FOR
SYSTEM
AND
HEAT
BATH
.
6
2.1.2
QUANTUM
LANGEVIN
EQUATION
.
7
2.2
THE
QUANTUM
MASTER
EQUATION
.
9
2.2.1
PROJECTION
OPERATOR
FORMALISM
AND
NAKAJIMA-ZWANZIG
EQUATION
9
2.2.2
BORN-MARKOV
MASTER
EQUATION
.
10
2.3
REAL-TIME
PATH-INTEGRAL
APPROACH
AND
INFLUENCE
FUNCTIONAL
.
12
3
CONTROLLING
TUNNELING:
THE
STRONGLY
DISSIPATIVE
TWO-STATE
SYSTEM
WITH
ELLIPTICALLY
POLARIZED
DRIVING
15
3.1
THE
TWO-STATE
MODEL
AND
ITS
BASIC
PROPERTIES
.
17
3.1.1
TUNNELING
HAMILTONIAN
.
17
3.1.2
REDUCED
DENSITY
MATRIX
.
18
3.2
CONTROLLING
THE
NONDISSIPATIVE
COHERENT
DYNAMICS
.
19
3.2.1
EVOLUTION
WITHOUT
TIME-DEPENDENT
FIELDS
.
20
3.2.2
LINEARLY
POLARIZED
DRIVING
.
21
3.2.3
CIRCULARLY
POLARIZED
DRIVING
.
23
3.2.4
TIME-DEPENDENT
DRIVING
WITH
BIAS
.
25
3.3
DYNAMICAL
EQUATIONS
FOR
THE
DISSIPATIVE
AND
DRIVEN
SYSTEM
.
27
3.3.1
EXACT
FORMAL
PATH-INTEGRAL
SOLUTION
.
27
3.3.2
GENERALIZED
MASTER
EQUATION
AND
INTEGRAL
RELATION
.
31
3.3.3
DYNAMICS
WITHIN
THE
NONINTERACTING-BLIP
APPROXIMATION
.
33
3.4
DISSIPATIVE
CONTROL
OF
TUNNELING
.
34
3.4.1
OHMIC
FRICTION
AND
ELECTRON
TRANSFER
.
34
3.4.2
CHARACTERISTICS
OF
THE
DYNAMICS
.
35
3.4.3
RECURSIVE
SOLUTION
.
38
3.4.4
MARKOVIAN
REGIME
.
39
3.4.5
HIGH-FREQUENCY
REGIME
.
41
3.5
CONCLUSIONS
.
45
4
DRIVEN
SPIN-BOSON
MODEL:
BLOCH-REDFIELD
THEORY
VS.
PATH-INTEGRAL
APPROACH
47
4.1
WEAK
COUPLING
PATH-INTEGRAL
APPROACH
.
48
4.2
BLOCH-REDFIELD
FORMALISM
.
49
4.2.1
GENERALIZED
BLOCH
EQUATIONS
.
49
4.2.2
BLOCH-REDFIELD
EQUATIONS
.
52
II
CONTENTS
4.3
ANALYTIC
HIGH-FREQUENCY
PATH-INTEGRAL
SOLUTION
.
52
4.4
NUMERICAL
COMPARISON
.
54
4.5
APPLICATION
OF
THE
BLOCH-REDFIELD
APPROACH:
TWO-LEVEL
ATOM
PLACED
IN
A
LOSSY
CAVITY
.
58
4.5.1
MODEL
AND
DYNAMICAL
EQUATIONS
.
58
4.5.2
CONTROLLING
THE
DECOHERENCE
OF
DIFFERENT
INITIAL
STATES
.
60
5
ELECTRON
TRANSFER:
THE
ZUSMAN
MODEL
IN
STRONG
PERIODIC
FIELDS
67
5.1
A
GENERALIZED
ELECTRON
TRANSFER
MODEL
.
69
5.1.1
THE
MODEL
HAMILTONIAN
.
69
5.1.2
DIABATIC
AND
ADIABATIC
POTENTIAL
CURVES
.
72
5.2
EQUATIONS
OF
MOTION
.
73
5.2.1
WIGNER
PHASE-SPACE
REPRESENTATION
.
73
5.2.2
THE
ZUSMAN
EQUATIONS
.
74
5.3
ANALYTIC
HIGH-FREQUENCY
SOLUTION
.
76
5.3.1
RATE
DESCRIPTION
.
79
5.3.2
THE
NONADIABATIC
RATE
CONSTANT
.
82
5.3.3
THE
ADIABATIC
RATE
CONSTANT
.
83
5.4
NUMERICAL
COMPUTATION
OF
THE
DRIVEN
ZUSMAN
MODEL
.
84
5.5
RESULTS
AND
DISCUSSION
.
86
5.5.1
LOW-FREQUENCY
DRIVING
.
87
5.5.2
HIGH-FREQUENCY
DRIVING
.
89
5.5.3
CONSECUTIVE
STEP
RATE
VS.
GOLDEN
RULE
RATE
.
90
5.5.4
DRIVING
INDUCED
INVERSION
OF
POPULATIONS
.
94
5.5.5
DRIVING
INDUCED
CROSSOVER
TO
NONADIABATIC
TRANSFER
.
95
5.6
CONCLUSIONS
.
97
6
SUMMARY
AND
OUTLOOK
99
A
THE
REDFIELD
RELAXATION
TENSOR
103
B
GREEN
FUNCTIONS
FOR
THE
HARMONIC
POTENTIALS
105
C
THE
CONSECUTIVE
STEP
APPROXIMATION
107
D
EIGENFUNCTIONS
OF
THE
DIFFUSION
OPERATOR
109
REFERENCES
111
ACKNOWLEDGMENT
117 |
| any_adam_object | 1 |
| author | Hartmann, Ludwig 1970- |
| author_GND | (DE-588)124197671 |
| author_facet | Hartmann, Ludwig 1970- |
| author_role | aut |
| author_sort | Hartmann, Ludwig 1970- |
| author_variant | l h lh |
| building | Verbundindex |
| bvnumber | BV013367343 |
| classification_rvk | UK 4000 |
| ctrlnum | (OCoLC)642990647 (DE-599)BVBBV013367343 |
| discipline | Physik |
| format | Book |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV013367343 |
| illustrated | Illustrated |
| indexdate | 2024-08-23T00:46:45Z |
| institution | BVB |
| isbn | 3826578724 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009118193 |
| oclc_num | 642990647 |
| open_access_boolean | |
| owner | DE-384 DE-12 DE-29T |
| owner_facet | DE-384 DE-12 DE-29T |
| physical | II, 116 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Shaker |
| record_format | marc |
| series2 | Berichte aus der Physik |
| spelling | Hartmann, Ludwig 1970- Verfasser (DE-588)124197671 aut Driven tunneling dynamics of dissipative two-state quantum systems Ludwig Hartmann Aachen Shaker 2000 II, 116 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 Zwei-Niveau-System (DE-588)4253007-6 gnd rswk-swf Quantenmechanisches System (DE-588)4300046-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenmechanisches System (DE-588)4300046-0 s Dissipatives System (DE-588)4209641-8 s Tunneleffekt (DE-588)4136216-0 s DE-604 Zwei-Niveau-System (DE-588)4253007-6 s DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009118193&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Hartmann, Ludwig 1970- Driven tunneling dynamics of dissipative two-state quantum systems Dissipatives System (DE-588)4209641-8 gnd Tunneleffekt (DE-588)4136216-0 gnd Zwei-Niveau-System (DE-588)4253007-6 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| subject_GND | (DE-588)4209641-8 (DE-588)4136216-0 (DE-588)4253007-6 (DE-588)4300046-0 (DE-588)4113937-9 |
| title | Driven tunneling dynamics of dissipative two-state quantum systems |
| title_auth | Driven tunneling dynamics of dissipative two-state quantum systems |
| title_exact_search | Driven tunneling dynamics of dissipative two-state quantum systems |
| title_full | Driven tunneling dynamics of dissipative two-state quantum systems Ludwig Hartmann |
| title_fullStr | Driven tunneling dynamics of dissipative two-state quantum systems Ludwig Hartmann |
| title_full_unstemmed | Driven tunneling dynamics of dissipative two-state quantum systems Ludwig Hartmann |
| title_short | Driven tunneling dynamics of dissipative two-state quantum systems |
| title_sort | driven tunneling dynamics of dissipative two state quantum systems |
| topic | Dissipatives System (DE-588)4209641-8 gnd Tunneleffekt (DE-588)4136216-0 gnd Zwei-Niveau-System (DE-588)4253007-6 gnd Quantenmechanisches System (DE-588)4300046-0 gnd |
| topic_facet | Dissipatives System Tunneleffekt Zwei-Niveau-System Quantenmechanisches System Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009118193&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT hartmannludwig driventunnelingdynamicsofdissipativetwostatequantumsystems |