Quantum optics:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Weinheim
WILEY-VCH
2006
|
| Ausgabe: | 3., rev. and extended ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
| Beschreibung: | XII, 508 S. Ill., graph. Darst. |
| ISBN: | 3527405070 9783527405077 |
Internformat
MARC
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| 020 | |a 9783527405077 |9 978-3-527-40507-7 | ||
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| 084 | |a PHY 370f |2 stub | ||
| 100 | 1 | |a Vogel, Werner |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantum optics |c Werner Vogel and Dirk-Gunnar Welsch |
| 250 | |a 3., rev. and extended ed. | ||
| 264 | 1 | |a Weinheim |b WILEY-VCH |c 2006 | |
| 300 | |a XII, 508 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 650 | 4 | |a Optique quantique | |
| 650 | 4 | |a Théorie quantique | |
| 650 | 4 | |a Quantum optics | |
| 650 | 0 | 7 | |a Quantenoptik |0 (DE-588)4047990-0 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4123623-3 |a Lehrbuch |2 gnd-content | |
| 689 | 0 | 0 | |a Quantenoptik |0 (DE-588)4047990-0 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Welsch, Dirk-Gunnar |e Verfasser |4 aut | |
| 856 | 4 | 2 | |q text/html |u http://deposit.dnb.de/cgi-bin/dokserv?id=2708216&prov=M&dok_var=1&dok_ext=htm |3 Inhaltstext |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014180174&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-014180174 | ||
Datensatz im Suchindex
| _version_ | 1804134576781524992 |
|---|---|
| adam_text | Contents
Preface
XI
1
Introduction
1
1.1
From Einstein s hypothesis to photon
anti-bunching
¿
1.2
Nonclassical phenomena
5
1.3
Source-attributed light
6
1.4
Medium-assisted electromagnetic fields
7
1.5
Measurement of light statistics
9
1.6
Determination and preparation of quantum states
10
1.7
Quantized motion of cold atoms
22
2
Elements of quantum electrodynamics
15
2.1
Basic classical equations
16
2.2
The free electromagnetic field
20
2.2.1
Canonical quantization
22
2.2.2
Monochromatic-mode expansion
22
2.2.3
Nonmonochromatic modes
28
2.3
Interaction with charged particles
30
2.3.1
Minimal coupling
31
2.3.2
Multipolar
coupling
33
2.4
Dielectric background media
39
2.4.1
Nondispersing and nonabsorbing media
41
2.4.2
Dispersing and absorbing media
44
2.5
Approximate interaction Hamiltonians
50
2.5.1
The electric-dipole approximation
52
2.5.2
The rotating-wave approximation
53
2.5.3
Effective Hamiltonians
56
2.6
Source-quantity representation
60
2.7
Time-dependent commutation relations
65
2.8
Correlation functions of field operators
69
Vl|
Contents
3
Quantum states of bosonic systems
73
3.1
Number states
73
3.1.1
Statistics of the number states
77
3.1.2
Multi-mode number states
78
3.2
Coherent states
79
3.2.1
Statistics of the coherent states
84
3.2.2
Multi-mode coherent states
85
3.2.3
Displaced number states
87
3.3
Squeezed states
88
3.3.1
Statistics of the squeezed states
92
3.3.2
Multi-mode squeezed states
98
3.4
Quadrature eigenstates
102
3.5
Phase states
104
3.5.1
The eigenvalue problem of
Ý
105
3.5.2
Cosine and sine phase states
109
4
Bosonic systems in phase space
113
4.1
The statistical density operator
113
4.2
Phase-space functions
116
4.2.1
Normal ordering: The
P
function
117
4.2.2
Anti-normal and symmetric ordering: The
Q
and the
W
function
120
4.2.3
Parameterized phase-space functions
121
4.3
Operator expansion in phase space
124
4.3.1
Orthogonalization relations
125
4.3.2
The density operator in phase space
126
4.3.3
Some elementary examples
129
5
Quantum theory of damping
135
5.1
Quantum Langevin equations and one-time averages
137
5.1.1
Hamiltonian
137
5.1.2 Heisenberg
equations of motion
139
5.1.3
Born and Markov approximations
141
5.1
A Quantum Langevin equations
142
5.2
Master equations and related eqviations
146
5.2.1
Master equations
147
5.2.2
Fokker-Planck equations
148
5.3
Damped harmonic oscillator
151
5.3.1
Langevin equations
151
5.3.2
Master equations
155
5.3.3
Fokker-Planck equations
156
5.3.4
Radiationless dephasing
158
Contents
VII
5.4
Damped two-level system
262
5
A.I Basic equations
161
5.4.2
Optical Bloch equations
164
5.5
Quantum regression theorem
169
6
Photoelectric detection of light
173
6.1
Photoelectric counting
273
6.1.1
Quantum-mechanical transition probabilities
274
6.1.2
Photoelectric counting probabilities
279
6.1.3
Counting moments and correlations
183
6.2
Photoelectric counts and photons
287
6.2.1
Detection scheme
187
6.2.2
Mode expansion
189
6.2.3
Photon-number statistics
191
6.3
Nonperturbative corrections
295
6.4
Spectral detection
297
6.4.1
Radiation-field modes
198
6.4.2
Input-output relations
200
6.4.3
Spectral correlation functions
202
6.5
Homodyne
detection
205
6.5.1
Fields combining through a nonabsorbing beam splitter
205
6.5.2
Fields combining through an absorbing beam splitter
220
6.5.3
Unbalanced four-port homodyning
223
6.5.4
Balanced four-port homodyning
227
6.5.5
Balanced eight-port homodyning
223
6.5.6
Homodyne
correlation measurement
228
6.5.7
Normally ordered moments
232
7
Quantum-state reconstruction
237
7.1
Optical
homodyne
tomography
239
7.1.1
Quantum state and phase-rotated quadratures
240
7.1.2
Wigner function
244
7.2
Density matrix in phase-rotated quadrature basis
247
7.3
Density matrix in the number basis
250
7.3.1
Sampling from quadrature components
250
7.3.2
Reconstruction from displaced number states
254
7
A Local reconstruction of phase-space functions
256
7.5
Normally ordered moments
257
7.6
Canonical phase statistics
260
8
Nonclassicality and entanglement of bosonic systems
265
8.1
Quantum states with classical counterparts
266
VIII
I Contents
8.2
Nonclassical light
270
8.2.1
Photon anti-bunching
270
8.2.2
Sub-Poissonian light
273
8.2.3
Squeezed light
276
8.3
Nonclassical characteristic functions
281
8.3.1
The Bochner theorem
282
8.3.2
First-order nonclassicality
283
8.3.3
Higher-order nonclassicality
285
8.4
Nonclassical moments
287
8.4.1
Reformulation of the Bochner condition
287
8.4.2
Criteria based on moments
288
8.5
Entanglement
290
8.5.1
Separable and nonseparable quantum states
290
8.5.2
Partial transposition and entanglement criteria
292
9
Leaky optical cavities
299
9.1
Radiation-field modes
301
9.1.1
Solution of the Helmholtz equation
301
9.1.2
Cavity-response function
303
9.2
Source-quantity representation
305
9.3
Internal field
308
9.3.1
Coarse-grained averaging
308
9.3.2
Nonmonochromatic modes and Langevin equations
311
9.4
External field
323
9.4.1
Source-quantity representation
314
9.4.2
Input-output relations
316
9.5
Commutation relations
327
9.5.1
Internal field
318
9.5.2
External field
321
9.6
Field correlation functions
323
9.7
Unwanted losses
327
9.8
Quantum-state extraction
329
10
Medium-assisted electromagnetic vacuum effects
337
10.1
Spontaneous emission
338
10.1.1
Weak atom-field coupling
342
10.1.2
Strong atom-field coupling
348
10.2
Vacuum forces
352
10.2.1
Force on an atom
353
10.2.2
The
Casimir
force
360
Contents
IX
11
Resonance fluorescence
367
11.1
Basic equations
367
11.2
Two-level systems
370
11.2.1
Intensity
372
11.2.2
Intensity correlation and photon anti-bunching
375
11.2.3
Squeezing
379
11.2.4
Spectral properties 3S3
11.3
Multi-level effects
391
11.3.1
Dark resonances
391
11.3.2
Intermittent fluorescence
394
11.3.3
Vibronic coupling
398
12
A single atom in a high-Q cavity
407
12.1
The Jaynes-Cummings model
408
12.2
Electronic-state dynamics
413
12.2.1
Reduced density matrix
423
12.2.2
Collapse and revival
415
12.2.3
Quantum nature of the revivals
421
12.2.4
Coherent preparation
422
12.3
Field dynamics
424
12.3.1
Reduced density matrix
424
12.3.2
Photon statistics
425
12.4
The
Micromaser 428
12.5
Quantum-state preparation
433
12.5.1 Schrödinger-cat
states
433
12.5.2
Einstein-Podolsky-Rosen pairs of atoms
434
12.6
Measurements of the cavity field
435
12.6.1
Quantum state endoscopy
436
12.6.2
QND measurement of the photon number
437
12.6.3
Determining arbitrary quantum states
438
13
Laser-driven quantized motion of a trapped atom
443
13.1
Quantized motion of an ion in a Paul trap
444
13.2
Interaction of a moving atom with light
446
13.2.1
Radio-frequency radiation
447
13.2.2
Optical radiation
448
13.3
Dynamics in the resolved sideband regime
449
13.3.1
Nonlinear Jaynes-Cummings model
449
13.3.2
Decoherence effects
454
13.3.3
Nonlinear motional dynamics
456
13.4
Preparing motional quantum states
461
13.4.1
Sideband laser-cooling
461
Χ Ι
Contents
13.4.2
Coherent, number and squeezed states
463
13.4.3 Schrödinger-cat
states
464
13.4.4
Motional dark states
466
13.5
Measuring the quantum state
472
13.5.1 Tomographie
methods
472
13.5.2
Local methods
475
13.5.3
Determination of entangled states
478
Appendix
A The medium-assisted Green tensor
481
A.I Basic relations
481
A.2 Asymptotic behavior
482
В
Equal-time commutation relations
485
С
Algebra of bosonic operators
487
C.I Exponential-operator disentangling
487
C.2 Normal and anti-normal ordering
490
D
Sampling function for the density matrix in the number basis
493
Index
497
|
| adam_txt |
Contents
Preface
XI
1
Introduction
1
1.1
From Einstein's hypothesis to photon
anti-bunching
¿
1.2
Nonclassical phenomena
5
1.3
Source-attributed light
6
1.4
Medium-assisted electromagnetic fields
7
1.5
Measurement of light statistics
9
1.6
Determination and preparation of quantum states
10
1.7
Quantized motion of cold atoms
22
2
Elements of quantum electrodynamics
15
2.1
Basic classical equations
16
2.2
The free electromagnetic field
20
2.2.1
Canonical quantization
22
2.2.2
Monochromatic-mode expansion
22
2.2.3
Nonmonochromatic modes
28
2.3
Interaction with charged particles
30
2.3.1
Minimal coupling
31
2.3.2
Multipolar
coupling
33
2.4
Dielectric background media
39
2.4.1
Nondispersing and nonabsorbing media
41
2.4.2
Dispersing and absorbing media
44
2.5
Approximate interaction Hamiltonians
50
2.5.1
The electric-dipole approximation
52
2.5.2
The rotating-wave approximation
53
2.5.3
Effective Hamiltonians
56
2.6
Source-quantity representation
60
2.7
Time-dependent commutation relations
65
2.8
Correlation functions of field operators
69
Vl|
Contents
3
Quantum states of bosonic systems
73
3.1
Number states
73
3.1.1
Statistics of the number states
77
3.1.2
Multi-mode number states
78
3.2
Coherent states
79
3.2.1
Statistics of the coherent states
84
3.2.2
Multi-mode coherent states
85
3.2.3
Displaced number states
87
3.3
Squeezed states
88
3.3.1
Statistics of the squeezed states
92
3.3.2
Multi-mode squeezed states
98
3.4
Quadrature eigenstates
102
3.5
Phase states
104
3.5.1
The eigenvalue problem of
Ý
105
3.5.2
Cosine and sine phase states
109
4
Bosonic systems in phase space
113
4.1
The statistical density operator
113
4.2
Phase-space functions
116
4.2.1
Normal ordering: The
P
function
117
4.2.2
Anti-normal and symmetric ordering: The
Q
and the
W
function
120
4.2.3
Parameterized phase-space functions
121
4.3
Operator expansion in phase space
124
4.3.1
Orthogonalization relations
125
4.3.2
The density operator in phase space
126
4.3.3
Some elementary examples
129
5
Quantum theory of damping
135
5.1
Quantum Langevin equations and one-time averages
137
5.1.1
Hamiltonian
137
5.1.2 Heisenberg
equations of motion
139
5.1.3
Born and Markov approximations
141
5.1
A Quantum Langevin equations
142
5.2
Master equations and related eqviations
146
5.2.1
Master equations
147
5.2.2
Fokker-Planck equations
148
5.3
Damped harmonic oscillator
151
5.3.1
Langevin equations
151
5.3.2
Master equations
155
5.3.3
Fokker-Planck equations
156
5.3.4
Radiationless dephasing
158
Contents
VII
5.4
Damped two-level system
262
5
A.I Basic equations
161
5.4.2
Optical Bloch equations
164
5.5
Quantum regression theorem
169
6
Photoelectric detection of light
173
6.1
Photoelectric counting
273
6.1.1
Quantum-mechanical transition probabilities
274
6.1.2
Photoelectric counting probabilities
279
6.1.3
Counting moments and correlations
183
6.2
Photoelectric counts and photons
287
6.2.1
Detection scheme
187
6.2.2
Mode expansion
189
6.2.3
Photon-number statistics
191
6.3
Nonperturbative corrections
295
6.4
Spectral detection
297
6.4.1
Radiation-field modes
198
6.4.2
Input-output relations
200
6.4.3
Spectral correlation functions
202
6.5
Homodyne
detection
205
6.5.1
Fields combining through a nonabsorbing beam splitter
205
6.5.2
Fields combining through an absorbing beam splitter
220
6.5.3
Unbalanced four-port homodyning
223
6.5.4
Balanced four-port homodyning
227
6.5.5
Balanced eight-port homodyning
223
6.5.6
Homodyne
correlation measurement
228
6.5.7
Normally ordered moments
232
7
Quantum-state reconstruction
237
7.1
Optical
homodyne
tomography
239
7.1.1
Quantum state and phase-rotated quadratures
240
7.1.2
Wigner function
244
7.2
Density matrix in phase-rotated quadrature basis
247
7.3
Density matrix in the number basis
250
7.3.1
Sampling from quadrature components
250
7.3.2
Reconstruction from displaced number states
254
7
A Local reconstruction of phase-space functions
256
7.5
Normally ordered moments
257
7.6
Canonical phase statistics
260
8
Nonclassicality and entanglement of bosonic systems
265
8.1
Quantum states with classical counterparts
266
VIII
I Contents
8.2
Nonclassical light
270
8.2.1
Photon anti-bunching
270
8.2.2
Sub-Poissonian light
273
8.2.3
Squeezed light
276
8.3
Nonclassical characteristic functions
281
8.3.1
The Bochner theorem
282
8.3.2
First-order nonclassicality
283
8.3.3
Higher-order nonclassicality
285
8.4
Nonclassical moments
287
8.4.1
Reformulation of the Bochner condition
287
8.4.2
Criteria based on moments
288
8.5
Entanglement
290
8.5.1
Separable and nonseparable quantum states
290
8.5.2
Partial transposition and entanglement criteria
292
9
Leaky optical cavities
299
9.1
Radiation-field modes
301
9.1.1
Solution of the Helmholtz equation
301
9.1.2
Cavity-response function
303
9.2
Source-quantity representation
305
9.3
Internal field
308
9.3.1
Coarse-grained averaging
308
9.3.2
Nonmonochromatic modes and Langevin equations
311
9.4
External field
323
9.4.1
Source-quantity representation
314
9.4.2
Input-output relations
316
9.5
Commutation relations
327
9.5.1
Internal field
318
9.5.2
External field
321
9.6
Field correlation functions
323
9.7
Unwanted losses
327
9.8
Quantum-state extraction
329
10
Medium-assisted electromagnetic vacuum effects
337
10.1
Spontaneous emission
338
10.1.1
Weak atom-field coupling
342
10.1.2
Strong atom-field coupling
348
10.2
Vacuum forces
352
10.2.1
Force on an atom
353
10.2.2
The
Casimir
force
360
Contents
IX
11
Resonance fluorescence
367
11.1
Basic equations
367
11.2
Two-level systems
370
11.2.1
Intensity
372
11.2.2
Intensity correlation and photon anti-bunching
375
11.2.3
Squeezing
379
11.2.4
Spectral properties 3S3
11.3
Multi-level effects
391
11.3.1
Dark resonances
391
11.3.2
Intermittent fluorescence
394
11.3.3
Vibronic coupling
398
12
A single atom in a high-Q cavity
407
12.1
The Jaynes-Cummings model
408
12.2
Electronic-state dynamics
413
12.2.1
Reduced density matrix
423
12.2.2
Collapse and revival
415
12.2.3
Quantum nature of the revivals
421
12.2.4
Coherent preparation
422
12.3
Field dynamics
424
12.3.1
Reduced density matrix
424
12.3.2
Photon statistics
425
12.4
The
Micromaser 428
12.5
Quantum-state preparation
433
12.5.1 Schrödinger-cat
states
433
12.5.2
Einstein-Podolsky-Rosen pairs of atoms
434
12.6
Measurements of the cavity field
435
12.6.1
Quantum state endoscopy
436
12.6.2
QND measurement of the photon number
437
12.6.3
Determining arbitrary quantum states
438
13
Laser-driven quantized motion of a trapped atom
443
13.1
Quantized motion of an ion in a Paul trap
444
13.2
Interaction of a moving atom with light
446
13.2.1
Radio-frequency radiation
447
13.2.2
Optical radiation
448
13.3
Dynamics in the resolved sideband regime
449
13.3.1
Nonlinear Jaynes-Cummings model
449
13.3.2
Decoherence effects
454
13.3.3
Nonlinear motional dynamics
456
13.4
Preparing motional quantum states
461
13.4.1
Sideband laser-cooling
461
Χ Ι
Contents
13.4.2
Coherent, number and squeezed states
463
13.4.3 Schrödinger-cat
states
464
13.4.4
Motional dark states
466
13.5
Measuring the quantum state
472
13.5.1 Tomographie
methods
472
13.5.2
Local methods
475
13.5.3
Determination of entangled states
478
Appendix
A The medium-assisted Green tensor
481
A.I Basic relations
481
A.2 Asymptotic behavior
482
В
Equal-time commutation relations
485
С
Algebra of bosonic operators
487
C.I Exponential-operator disentangling
487
C.2 Normal and anti-normal ordering
490
D
Sampling function for the density matrix in the number basis
493
Index
497 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Vogel, Werner Welsch, Dirk-Gunnar |
| author_facet | Vogel, Werner Welsch, Dirk-Gunnar |
| author_role | aut aut |
| author_sort | Vogel, Werner |
| author_variant | w v wv d g w dgw |
| building | Verbundindex |
| bvnumber | BV020858578 |
| callnumber-first | Q - Science |
| callnumber-label | QC446 |
| callnumber-raw | QC446.2 |
| callnumber-search | QC446.2 |
| callnumber-sort | QC 3446.2 |
| callnumber-subject | QC - Physics |
| classification_rvk | UH 5600 |
| classification_tum | PHY 370f |
| ctrlnum | (OCoLC)70264137 (DE-599)BVBBV020858578 |
| dewey-full | 535.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535.15 |
| dewey-search | 535.15 |
| dewey-sort | 3535.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 3., rev. and extended ed. |
| format | Book |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV020858578 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:22:14Z |
| indexdate | 2024-07-09T20:26:49Z |
| institution | BVB |
| isbn | 3527405070 9783527405077 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014180174 |
| oclc_num | 70264137 |
| open_access_boolean | |
| owner | DE-20 DE-703 DE-29T DE-355 DE-BY-UBR DE-83 DE-11 DE-91G DE-BY-TUM |
| owner_facet | DE-20 DE-703 DE-29T DE-355 DE-BY-UBR DE-83 DE-11 DE-91G DE-BY-TUM |
| physical | XII, 508 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | WILEY-VCH |
| record_format | marc |
| spelling | Vogel, Werner Verfasser aut Quantum optics Werner Vogel and Dirk-Gunnar Welsch 3., rev. and extended ed. Weinheim WILEY-VCH 2006 XII, 508 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Optique quantique Théorie quantique Quantum optics Quantenoptik (DE-588)4047990-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Quantenoptik (DE-588)4047990-0 s DE-604 Welsch, Dirk-Gunnar Verfasser aut text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2708216&prov=M&dok_var=1&dok_ext=htm Inhaltstext Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014180174&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vogel, Werner Welsch, Dirk-Gunnar Quantum optics Optique quantique Théorie quantique Quantum optics Quantenoptik (DE-588)4047990-0 gnd |
| subject_GND | (DE-588)4047990-0 (DE-588)4123623-3 |
| title | Quantum optics |
| title_auth | Quantum optics |
| title_exact_search | Quantum optics |
| title_exact_search_txtP | Quantum optics |
| title_full | Quantum optics Werner Vogel and Dirk-Gunnar Welsch |
| title_fullStr | Quantum optics Werner Vogel and Dirk-Gunnar Welsch |
| title_full_unstemmed | Quantum optics Werner Vogel and Dirk-Gunnar Welsch |
| title_short | Quantum optics |
| title_sort | quantum optics |
| topic | Optique quantique Théorie quantique Quantum optics Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Optique quantique Théorie quantique Quantum optics Quantenoptik Lehrbuch |
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