Quantum theory of optical coherence: selected papers and lectures
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2007
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| Item Description: | Literaturangaben |
| Physical Description: | XV, 639 S. graph. Darst. 24 cm |
| ISBN: | 9783527406876 3527406875 |
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| 100 | 1 | |a Glauber, Roy J. |d 1925-2018 |e Verfasser |0 (DE-588)132439964 |4 aut | |
| 245 | 1 | 0 | |a Quantum theory of optical coherence |b selected papers and lectures |c Roy J. Glauber |
| 264 | 1 | |a Weinheim |b Wiley-VCH-Verl. |c 2007 | |
| 300 | |a XV, 639 S. |b graph. Darst. |c 24 cm | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Literaturangaben | ||
| 650 | 4 | |a Coherence (Optics) | |
| 650 | 4 | |a Quantum optics | |
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Contents
1 The Quantum
Theory of Optical Coherence
1
1.1
Introduction
/
1.2
Elements of Field Theory
2
1.3
Field Correlations
7
1.4
Coherence
10
1.5
Coherence and Polarization
/5
Appendix
18
References
20
2
Optical Coherence and Photon Statistics
23
2.1
Introduction
23
2.1.1
Classical Theory
27
2.2
Interference Experiments
30
2.3
Introduction of Quantum Theory
35
2.4
The One-Atom Photon Detector
38
2.5
The
л
-Atom
Photon Detector
46
2.6
Properties of the Correlation Functions
51
2.6.1
Space and Time Dependence of the Correlation Functions
54
2.7
Diffraction and Interference
56
2.7'.1
Some General Remarks on Interference
58
2.7.2
First-Order Coherence
59
2.7.3
Fringe Contrast and Factorization
64
2.8
Interpretation of Intensity Interferometer Experiments
66
2.8.1
Higher Order Coherence and Photon Coincidences
67
2.8.2
Further Discussion of Higher Order Coherence
70
2.8.3
Treatment of Arbitrary Polarizations
71
2.9
Coherent and Incoherent States of the Radiation Field
75
2.9.1
Introduction
75
2.9.2
Field-Theoretical Background
77
2.9.3
Coherent States of a Single Mode SO
Quantum Theory of Optical Coherence. Selected Papers and Lectures. Roy J. Glauber.
Copyright
© 2007
WILEY-VCH
Verlag
GmbH
&
Co. KGaA,
Weinheim
ISBN:
978-3-527-40687-6
2.9.4 Expansion
of Arbitrary States in Terms of Coherent States
86
2.9.5
Expansion of Operators in Terms of Coherent State Vectors
89
2.9.6
General Properties of the Density Operator
92
2.9
Л
The
Ρ
Representation of the Density Operator
94
2.9.8
The Gaussian Density Operator
100
2.9.9
Density Operators for the Field
104
2.9.10
Correlation and Coherence Properties of the Field
109
2.10
Radiation by a Predetermined Charge-Current Distribution
117
2.11
Phase-Space Distributions for the Field
121
2.11.1
The
Ρ
Representation and the Moment Problem
123
2.11.2
A Positive-Definite "Phase Space Density"
124
2.1
1
.3
Wigner's "Phase Space Density"
127
2.12
Correlation Functions and Quasiprobability Distributions
132
2.12.1
First Order Correlation Functions for Stationary Fields
134
2.12.2
Correlation Functions for Chaotic Fields
136
2.12.3
Quasiprobability Distribution for the Field Amplitude
139
2.12
A Quasiprobability Distribution for the Field Amplitudes at Two Space-Time
Points
145
2.13
Elementary Models of Light Beams
148
2.13.1
Model for Ideal Laser Fields
153
2.13.2
Model of a Laser Field With Finite Bandwidth
156
2.14
Interference of Independent Light Beams
164
2.15
Photon Counting Experiments
170
References
181
3
Correlation Functions for Coherent Fields
183
3.1
Introduction
¡83
3.2
Correlation Functions and Coherence Conditions
184
3.3
Correlation Functions as Scalar Products
186
3.4
Application to Higher Order Correlation Functions
¡89
3.5
Fields With Positive-Definite
Ρ
Functions
191
References
195
4
Density Operators for Coherent Fields
197
4.1
Introduction
197
4.2
Evaluation of the Density Operator
199
4.3
Fully Coherent Fields
205
4.4
Unique Properties of the Annihilation Operator Eigenstates
209
References
216
5
Classical Behavior of Systems of Quantum Oscillators
217
References
220
6
Quantum
Theory of Parametric Amplification I
221
6.1
Introduction
221
6.2
The Coherent States and the
Ρ
Representation
223
6.3
Model of the Parametric Amplifier
227
6.4
Reduced Density Operator for the A Mode
233
6.5
Initially Coherent State:
Ρ
Representation for the A Mode
234
6.6
Initially Coherent State; Moments, Matrix Elements, and Explicit
Representation for p\ (t)
238
6.7
Solutions for an Initially Chaotic
В
Mode
241
6.8
Solution for Initial «-Quantum State of A Mode;
В
Mode Chaotic
244
6.9
General Discussion of Amplification With
В
Mode Initially Chaotic
249
6.10
Discussion of
Ρ
Representation: Characteristic Functions Initially
Gaussian
252
6.11
Some General Properties of P(a,t)
258
Appendix
260
References
261
7
Quantum Theory of Parametric Amplification II
263
7.1
Introduction
265
7.2
The Two-Mode Characteristic Function
265
13
The Wigner Function
267
7.4
Decoupled Equations of Motion
271
7.5
Characteristic Functions Expressed in Terms of Decoupled Variables
273
7.6
W
and
Ρ
Expressed in Terms of Decoupled Variables
275
7.7
Results for Chaotic Initial States
278
7.8
Correlations of the Mode Amplitudes
283
References
286
8
Photon Statistics
287
8.1
Introduction
287
8.2
Classical Theory
288
8.3
Quantum Theory: Introduction
290
8.4
Intensity and Coincidence Measurements
293
8.5
First and Higher Order Coherence
297
8.6
The Coherent States
300
8.7
Expansions in Terms of the Coherent States
307
8.8
Characteristic Functions and Quasiprobability Densities
313
8.9
Some Examples
319
8.10
Photon Counting Distributions
322
References
329
viii
9
Ordered Expansions in Boson Amplitude Operators
331
9.1
Introduction
331
9.2
Coherent States and Displacement Operators
333
9.3
Completeness of Displacement Operators
337
9.4
Ordered Power-Series Expansions
345
9.5
s-Ordered Power-Series Expansions
353
9.6
Integral Expansions for Operators
358
9.7
Correspondences Between Operators and Functions
366
9.8
Illustration of Operator-Function Correspondences
375
Appendix A
377
Appendix
В
378
Appendix
С
379
Appendix
D
380
References
380
10
Density Operators and Quasiprobability Distributions
383
10.1
Introduction
383
10.2
Ordered Operator Expansions
385
10.3
The
Ρ
Representation
389
10.4
Wigner Distribution
393
10.5
The Function {a \p\ a)
399
10.6
Ensemble Averages and
s
Ordering
402
10.7
Examples of the General Quasiprobability Function
Ща,.?)
408
10.8
Analogy with Heat Diffusion
416
10.9
Time-Reversed Heat Diffusion and W(a,s)
418
10.10
Properties Common to all Quasiprobability Distributions
420
References
423
11
Coherence and Quantum Detection
425
11.1
Introduction
425
11.2
The Statistical Properties of the Electromagnetic Field
426
1
1.3
The Ideal Photon Detector
428
11.4
Correlation Functions and Coherence
429
11.5
Other Correlation Functions
432
11.6
The Coherent States
434
11.7
Expansions in Terms of Coherent States
437
11.8
A Few General Observations
439
11.9
The Damped Harmonic Oscillator
440
11.10
The Density Operator for the Damped Oscillator
444
11.11
Irreversibility and Damping
447
11.12
The Foklcer-Planck and Bloch Equations
449
ix
11.13
Theory of Photodetection. The Photon Counter Viewed as a Harmonic
Oscillator
453
11.14
The Density Operator for the Photon Counter
459
References
462
12
Quantum Theory of Coherence
463
12.1
Introduction
463
12.2
Classical Theory
468
12.3
Quantum Theory
471
12.4
Intensity and Coincidence Measurements
474
12.5
Coherence
487
12.6
Coherent States
495
12.7
The
Ρ
Representation
499
12.8
Chaotic States
514
12.9
Wavepacket Structure of Chaotic Field
521
References
530
13
The Initiation of
Superfluorescence
531
13.1
Introduction
53
1
13.2
Basic Equations for a Simple Model
532
13.3
Onset of
Superfluorescence
534
References
536
14
Amplifiers, Attenuators and
Schrödingers
Cat
537
14.1
Introduction: Two Paradoxes
537
14.2
A Quantum-Mechanical Attenuator: The Damped Oscillator
542
14.3
A Quantum Mechanical Amplifier
548
14
A Specification of Photon Polarization States
558
14.5
Measuring Photon Polarizations
561
14.6
Use of the Compound Amplifier
563
14.7
Superluminal Communication?
565
14.8
Interference Experiments and
Schrödinger's
Cat
569
References
575
15
The Quantum Mechanics of Trapped Wavepackets
577
15.1
Introduction
577
15.2
Equations of Motion and Their Solutions
578
15.3
The Wave Functions
58/
15.4
Periodic Fields and Trapping
584
15.5
Interaction With the Radiation Field
587
15.6
Sum Rules
590
15.7
Radiative Equilibrium and Instability
592
References
594
16
Density
Operators
for Fermions
595
16.1
Introduction
595
16.2
Notation
597
16.3
Coherent States for
Fermions
597
16.3.1
Displacement Operators
597
16.3.2
Coherent States
599
16.3.3
Intrinsic Descriptions of Fermionic States
600
16.4 Grassmann
Calculus
601
16.4.1
Differentiation
601
16.4.2
Even and Odd Functions
601
16.4.3
Product Rule
602
16.4.4
Integration
602
16.4.5
Integration by Parts
603
16.4.6
Completeness of the Coherent States
604
16.4.7
Completeness of the Displacement Operators
604
16.5
Operators
605
16.5.1
The Identity Operator
605
16.5.2
The Trace
606
16.5.3
Physical States and Operators
606
16.5.4
Physical Density Operators
607
16.6
б
Functions and Fourier Transforms
608
16.7
Operator Expansions
610
16.8
Characteristic Functions
612
16.8.1
The s-Ordered Characteristic Function
613
16.9
s-Ordered Expansions for Operators
614
16.10
Quasiprobability Distributions
616
16.11
Mean Values of Operators
618
16.12
Ρ
Representation
619
16.13
Correlation Functions for
Fermions
620
16.14
Chaotic States of the Fermion Field
621
16.15
Correlation Functions for Chaotic Field Excitations
16.16
Fermion-Counting Experiments
626
16.17
Some Elementary Examples
628
16.17.1
The Vacuum State
628
16.17.2
A Physical Two-Mode Density Operator
629
References
631
Index
632
624 |
| adam_txt |
Contents
1 The Quantum
Theory of Optical Coherence
1
1.1
Introduction
/
1.2
Elements of Field Theory
2
1.3
Field Correlations
7
1.4
Coherence
10
1.5
Coherence and Polarization
/5
Appendix
18
References
20
2
Optical Coherence and Photon Statistics
23
2.1
Introduction
23
2.1.1
Classical Theory
27
2.2
Interference Experiments
30
2.3
Introduction of Quantum Theory
35
2.4
The One-Atom Photon Detector
38
2.5
The
л
-Atom
Photon Detector
46
2.6
Properties of the Correlation Functions
51
2.6.1
Space and Time Dependence of the Correlation Functions
54
2.7
Diffraction and Interference
56
2.7'.1
Some General Remarks on Interference
58
2.7.2
First-Order Coherence
59
2.7.3
Fringe Contrast and Factorization
64
2.8
Interpretation of Intensity Interferometer Experiments
66
2.8.1
Higher Order Coherence and Photon Coincidences
67
2.8.2
Further Discussion of Higher Order Coherence
70
2.8.3
Treatment of Arbitrary Polarizations
71
2.9
Coherent and Incoherent States of the Radiation Field
75
2.9.1
Introduction
75
2.9.2
Field-Theoretical Background
77
2.9.3
Coherent States of a Single Mode SO
Quantum Theory of Optical Coherence. Selected Papers and Lectures. Roy J. Glauber.
Copyright
© 2007
WILEY-VCH
Verlag
GmbH
&
Co. KGaA,
Weinheim
ISBN:
978-3-527-40687-6
2.9.4 Expansion
of Arbitrary States in Terms of Coherent States
86
2.9.5
Expansion of Operators in Terms of Coherent State Vectors
89
2.9.6
General Properties of the Density Operator
92
2.9
Л
The
Ρ
Representation of the Density Operator
94
2.9.8
The Gaussian Density Operator
100
2.9.9
Density Operators for the Field
104
2.9.10
Correlation and Coherence Properties of the Field
109
2.10
Radiation by a Predetermined Charge-Current Distribution
117
2.11
Phase-Space Distributions for the Field
121
2.11.1
The
Ρ
Representation and the Moment Problem
123
2.11.2
A Positive-Definite "Phase Space Density"
124
2.1
1
.3
Wigner's "Phase Space Density"
127
2.12
Correlation Functions and Quasiprobability Distributions
132
2.12.1
First Order Correlation Functions for Stationary Fields
134
2.12.2
Correlation Functions for Chaotic Fields
136
2.12.3
Quasiprobability Distribution for the Field Amplitude
139
2.12
A Quasiprobability Distribution for the Field Amplitudes at Two Space-Time
Points
145
2.13
Elementary Models of Light Beams
148
2.13.1
Model for Ideal Laser Fields
153
2.13.2
Model of a Laser Field With Finite Bandwidth
156
2.14
Interference of Independent Light Beams
164
2.15
Photon Counting Experiments
170
References
181
3
Correlation Functions for Coherent Fields
183
3.1
Introduction
¡83
3.2
Correlation Functions and Coherence Conditions
184
3.3
Correlation Functions as Scalar Products
186
3.4
Application to Higher Order Correlation Functions
¡89
3.5
Fields With Positive-Definite
Ρ
Functions
191
References
195
4
Density Operators for Coherent Fields
197
4.1
Introduction
197
4.2
Evaluation of the Density Operator
199
4.3
Fully Coherent Fields
205
4.4
Unique Properties of the Annihilation Operator Eigenstates
209
References
216
5
Classical Behavior of Systems of Quantum Oscillators
217
References
220
6
Quantum
Theory of Parametric Amplification I
221
6.1
Introduction
221
6.2
The Coherent States and the
Ρ
Representation
223
6.3
Model of the Parametric Amplifier
227
6.4
Reduced Density Operator for the A Mode
233
6.5
Initially Coherent State:
Ρ
Representation for the A Mode
234
6.6
Initially Coherent State; Moments, Matrix Elements, and Explicit
Representation for p\ (t)
238
6.7
Solutions for an Initially Chaotic
В
Mode
241
6.8
Solution for Initial «-Quantum State of A Mode;
В
Mode Chaotic
244
6.9
General Discussion of Amplification With
В
Mode Initially Chaotic
249
6.10
Discussion of
Ρ
Representation: Characteristic Functions Initially
Gaussian
252
6.11
Some General Properties of P(a,t)
258
Appendix
260
References
261
7
Quantum Theory of Parametric Amplification II
263
7.1
Introduction
265
7.2
The Two-Mode Characteristic Function
265
13
The Wigner Function
267
7.4
Decoupled Equations of Motion
271
7.5
Characteristic Functions Expressed in Terms of Decoupled Variables
273
7.6
W
and
Ρ
Expressed in Terms of Decoupled Variables
275
7.7
Results for Chaotic Initial States
278
7.8
Correlations of the Mode Amplitudes
283
References
286
8
Photon Statistics
287
8.1
Introduction
287
8.2
Classical Theory
288
8.3
Quantum Theory: Introduction
290
8.4
Intensity and Coincidence Measurements
293
8.5
First and Higher Order Coherence
297
8.6
The Coherent States
300
8.7
Expansions in Terms of the Coherent States
307
8.8
Characteristic Functions and Quasiprobability Densities
313
8.9
Some Examples
319
8.10
Photon Counting Distributions
322
References
329
viii
9
Ordered Expansions in Boson Amplitude Operators
331
9.1
Introduction
331
9.2
Coherent States and Displacement Operators
333
9.3
Completeness of Displacement Operators
337
9.4
Ordered Power-Series Expansions
345
9.5
s-Ordered Power-Series Expansions
353
9.6
Integral Expansions for Operators
358
9.7
Correspondences Between Operators and Functions
366
9.8
Illustration of Operator-Function Correspondences
375
Appendix A
377
Appendix
В
378
Appendix
С
379
Appendix
D
380
References
380
10
Density Operators and Quasiprobability Distributions
383
10.1
Introduction
383
10.2
Ordered Operator Expansions
385
10.3
The
Ρ
Representation
389
10.4
Wigner Distribution
393
10.5
The Function {a \p\ a)
399
10.6
Ensemble Averages and
s
Ordering
402
10.7
Examples of the General Quasiprobability Function
Ща,.?)
408
10.8
Analogy with Heat Diffusion
416
10.9
Time-Reversed Heat Diffusion and W(a,s)
418
10.10
Properties Common to all Quasiprobability Distributions
420
References
423
11
Coherence and Quantum Detection
425
11.1
Introduction
425
11.2
The Statistical Properties of the Electromagnetic Field
426
1
1.3
The Ideal Photon Detector
428
11.4
Correlation Functions and Coherence
429
11.5
Other Correlation Functions
432
11.6
The Coherent States
434
11.7
Expansions in Terms of Coherent States
437
11.8
A Few General Observations
439
11.9
The Damped Harmonic Oscillator
440
11.10
The Density Operator for the Damped Oscillator
444
11.11
Irreversibility and Damping
447
11.12
The Foklcer-Planck and Bloch Equations
449
ix
11.13
Theory of Photodetection. The Photon Counter Viewed as a Harmonic
Oscillator
453
11.14
The Density Operator for the Photon Counter
459
References
462
12
Quantum Theory of Coherence
463
12.1
Introduction
463
12.2
Classical Theory
468
12.3
Quantum Theory
471
12.4
Intensity and Coincidence Measurements
474
12.5
Coherence
487
12.6
Coherent States
495
12.7
The
Ρ
Representation
499
12.8
Chaotic States
514
12.9
Wavepacket Structure of Chaotic Field
521
References
530
13
The Initiation of
Superfluorescence
531
13.1
Introduction
53
1
13.2
Basic Equations for a Simple Model
532
13.3
Onset of
Superfluorescence
534
References
536
14
Amplifiers, Attenuators and
Schrödingers
Cat
537
14.1
Introduction: Two Paradoxes
537
14.2
A Quantum-Mechanical Attenuator: The Damped Oscillator
542
14.3
A Quantum Mechanical Amplifier
548
14
A Specification of Photon Polarization States
558
14.5
Measuring Photon Polarizations
561
14.6
Use of the Compound Amplifier
563
14.7
Superluminal Communication?
565
14.8
Interference Experiments and
Schrödinger's
Cat
569
References
575
15
The Quantum Mechanics of Trapped Wavepackets
577
15.1
Introduction
577
15.2
Equations of Motion and Their Solutions
578
15.3
The Wave Functions
58/
15.4
Periodic Fields and Trapping
584
15.5
Interaction With the Radiation Field
587
15.6
Sum Rules
590
15.7
Radiative Equilibrium and Instability
592
References
594
16
Density
Operators
for Fermions
595
16.1
Introduction
595
16.2
Notation
597
16.3
Coherent States for
Fermions
597
16.3.1
Displacement Operators
597
16.3.2
Coherent States
599
16.3.3
Intrinsic Descriptions of Fermionic States
600
16.4 Grassmann
Calculus
601
16.4.1
Differentiation
601
16.4.2
Even and Odd Functions
601
16.4.3
Product Rule
602
16.4.4
Integration
602
16.4.5
Integration by Parts
603
16.4.6
Completeness of the Coherent States
604
16.4.7
Completeness of the Displacement Operators
604
16.5
Operators
605
16.5.1
The Identity Operator
605
16.5.2
The Trace
606
16.5.3
Physical States and Operators
606
16.5.4
Physical Density Operators
607
16.6
б
Functions and Fourier Transforms
608
16.7
Operator Expansions
610
16.8
Characteristic Functions
612
16.8.1
The s-Ordered Characteristic Function
613
16.9
s-Ordered Expansions for Operators
614
16.10
Quasiprobability Distributions
616
16.11
Mean Values of Operators
618
16.12
Ρ
Representation
619
16.13
Correlation Functions for
Fermions
620
16.14
Chaotic States of the Fermion Field
621
16.15
Correlation Functions for Chaotic Field Excitations
16.16
Fermion-Counting Experiments
626
16.17
Some Elementary Examples
628
16.17.1
The Vacuum State
628
16.17.2
A Physical Two-Mode Density Operator
629
References
631
Index
632
624 |
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| author | Glauber, Roy J. 1925-2018 |
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| bvnumber | BV022357576 |
| callnumber-first | Q - Science |
| callnumber-label | QC476 |
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| classification_rvk | UH 5700 |
| classification_tum | PHY 370f PHY 364f |
| ctrlnum | (OCoLC)80145486 (DE-599)BVBBV022357576 |
| dewey-full | 535.2 535.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation |
| dewey-raw | 535.2 535.15 |
| dewey-search | 535.2 535.15 |
| dewey-sort | 3535.2 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-02T17:02:05Z |
| indexdate | 2024-07-20T09:13:56Z |
| institution | BVB |
| isbn | 9783527406876 3527406875 |
| language | English |
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| spelling | Glauber, Roy J. 1925-2018 Verfasser (DE-588)132439964 aut Quantum theory of optical coherence selected papers and lectures Roy J. Glauber Weinheim Wiley-VCH-Verl. 2007 XV, 639 S. graph. Darst. 24 cm txt rdacontent n rdamedia nc rdacarrier Literaturangaben Coherence (Optics) Quantum optics Optische Kohärenz (DE-588)4519405-1 gnd rswk-swf Quantenoptik (DE-588)4047990-0 gnd rswk-swf (DE-588)4143413-4 Aufsatzsammlung gnd-content Optische Kohärenz (DE-588)4519405-1 s Quantenoptik (DE-588)4047990-0 s DE-604 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=2878003&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=015566966&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Glauber, Roy J. 1925-2018 Quantum theory of optical coherence selected papers and lectures Coherence (Optics) Quantum optics Optische Kohärenz (DE-588)4519405-1 gnd Quantenoptik (DE-588)4047990-0 gnd |
| subject_GND | (DE-588)4519405-1 (DE-588)4047990-0 (DE-588)4143413-4 |
| title | Quantum theory of optical coherence selected papers and lectures |
| title_auth | Quantum theory of optical coherence selected papers and lectures |
| title_exact_search | Quantum theory of optical coherence selected papers and lectures |
| title_exact_search_txtP | Quantum theory of optical coherence selected papers and lectures |
| title_full | Quantum theory of optical coherence selected papers and lectures Roy J. Glauber |
| title_fullStr | Quantum theory of optical coherence selected papers and lectures Roy J. Glauber |
| title_full_unstemmed | Quantum theory of optical coherence selected papers and lectures Roy J. Glauber |
| title_short | Quantum theory of optical coherence |
| title_sort | quantum theory of optical coherence selected papers and lectures |
| title_sub | selected papers and lectures |
| topic | Coherence (Optics) Quantum optics Optische Kohärenz (DE-588)4519405-1 gnd Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Coherence (Optics) Quantum optics Optische Kohärenz Quantenoptik Aufsatzsammlung |
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