Quantum optics: an introduction
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Oxford [u.a.]
Oxford Univ. Press
2006
|
| Edition: | 1. publ. |
| Series: | Oxford master series in physics
15 : Atomic, optical, and laser physics |
| Subjects: | |
| Online Access: | Table of contents Inhaltsverzeichnis |
| Physical Description: | XVII, 378 S. Ill., graph. Darst. |
| ISBN: | 0198566727 0198566735 9780198566724 9780198566731 |
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| 100 | 1 | |a Fox, Mark |d 1961- |e Verfasser |0 (DE-588)14135920X |4 aut | |
| 245 | 1 | 0 | |a Quantum optics |b an introduction |c Mark Fox |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Oxford [u.a.] |b Oxford Univ. Press |c 2006 | |
| 300 | |a XVII, 378 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Oxford master series in physics |v 15 : Atomic, optical, and laser physics | |
| 650 | 4 | |a Optica cuántica | |
| 650 | 4 | |a Quantum optics | |
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| 689 | 0 | 0 | |a Quantenoptik |0 (DE-588)4047990-0 |D s |
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| 830 | 0 | |a Oxford master series in physics |v 15 : Atomic, optical, and laser physics |w (DE-604)BV017064373 |9 15 | |
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Record in the Search Index
| _version_ | 1804135097831522304 |
|---|---|
| adam_text | Contents
List of
Symbols xv
List of abbreviations
xviii
I Introduction and background
1
1
Introduction
3
1.1
What is quantum optics?
3
1.2
A brief history of quantum optics
4
1.3
How to use this book
6
2
Classical optics
8
2.1
Maxwell s equations and electromagnetic waves
8
2.1.1
Electromagnetic fields
8
2.1.2
Maxwell s equations
10
2.1.3
Electromagnetic waves
10
2.1.4
Polarization
12
2.2
Diffraction and interference
13
2.2.1
Diffraction
13
2.2.2
Interference
15
2.3
Coherence
16
2.4
Nonlinear optics
19
2.4.1
The nonlinear susceptibility
19
2.4.2
Second-order nonlinear phenomena
20
2.4.3
Phase matching
23
3
Quantum mechanics
26
3.1
Formalism of quantum mechanics
26
3.1.1
The
Schrödinger
equation
26
3.1.2
Properties of wave functions
28
3.1.3
Measurements and expectation values
30
3.1.4
Commutators and the uncertainty principle
31
3.1.5
Angular momentum
32
3.1.6
Dirac notation
34
3.2
Quantized states in atoms
35
3.2.1
The gross structure
35
3.2.2
Fine and hyperfine structure
39
3.2.3
The
Zeeman
effect
41
3.3
The harmonic oscillator
41
3.4
The Stern-Gerlach experiment
43
3.5
The band theory of solids
45
χ
Contents
4
Radiative transitions in atoms
48
4.1
Einstein coefficients
48
4.2
Radiative transition rates
51
4.3
Selection rules
54
4.4
The width and shape of spectral lines
56
4.4.1
The spectral lineshape function
56
4.4.2
Lifetime broadening
56
4.4.3
Collisional (pressure) broadening
57
4.4.4
Doppler
broadening
58
4.5
Line broadening in solids
58
4.6
Optical properties of semiconductors
59
4.7
Lasers
61
4.7.1
Laser oscillation
61
4.7.2
Laser modes
64
4.7.3
Laser properties
67
II Photons
73
5
Photon statistics
75
5.1
Introduction
75
5.2
Photon-counting statistics
76
5.3
Coherent light: Poissonian photon statistics
78
5.4
Classification of light by photon statistics
82
5.5
Super-Poissonian light
83
5.5.1
Thermal light
83
5.5.2
Chaotic (partially coherent) light
86
5.6
Sub-Poissonian light
87
5.7
Degradation of photon statistics by losses
88
5.8
Theory of photodetection
89
5.8.1
Semi-classical theory of photodetection
90
5.8.2
Quantum theory of photodetection
93
5.9
Shot noise in
photodiodes
94
5.10
Observation of sub-Poissonian photon statistics
99
5.10.1
Sub-Poissonian counting statistics
99
5.10.2
Sub-shot-noise photocurrent
101
6
Photon antibunching
105
6.1
Introduction: the intensity interferometer
105
6.2
Hanbury Brown-Twiss experiments and
classical intensity fluctuations
108
6.3
The second-order correlation function
д^
(τ)
111
6.4
Hanbury Brown-Twiss experiments with photons
113
6.5
Photon bunching and antibunching
115
6.5.1
Coherent light
116
6.5.2
Bunched light
116
6.5.3
Antibunched light
117
6.6
Experimental demonstrations of photon antibunching
117
6.7
Single-photon sources
120
Contents xi
7
Coherent
states
and squeezed light
126
7.1
Light waves as classical harmonic oscillators
126
7.2
Phasor diagrams and field quadratures
129
7.3
Light as a quantum harmonic oscillator
131
7.4
The vacuum field
132
7.5
Coherent states
134
7.6
Shot noise and number-phase uncertainty
135
7.7
Squeezed states
138
7.8
Detection of squeezed light
139
7.8.1
Detection of quadrature-squeezed
vacuum states
139
7.8.2
Detection of amplitude-squeezed light
142
7.9
Generation of squeezed states
142
7.9.1
Squeezed vacuum states
142
7.9.2
Amplitude-squeezed light
144
7.10
Quantum noise in amplifiers
146
8
Photon number states
151
8.1
Operator solution of the harmonic oscillator
151
8.2
The number state representation
154
8.3
Photon number states
156
8.4
Coherent states
157
8.5
Quantum theory of Hanbury Brown-Twiss
experiments
160
III Atom—photon interactions
165
9
Resonant light—atom interactions
167
9.1
Introduction
167
9.2
Preliminary concepts
168
9.2.1
The two-level atom approximation
168
9.2.2
Coherent superposition states
169
9.2.3
The density matrix
171
9.3
The time-dependent
Schrödinger
equation
172
9.4
The weak-field limit: Einstein s
В
coefficient
174
9.5
The strong-field limit:
Rabi
oscillations
177
9.5.1
Basic concepts
177
9.5.2
Damping
180
9.5.3
Experimental observations of
Rabi
oscillations
182
9.6
The Bloch sphere
187
10
Atoms in cavities
194
10.1
Optical cavities
194
10.2
Atom-cavity coupling
197
10.3
Weak coupling
200
10.3.1
Preliminary considerations
200
10.3.2
Free-space spontaneous emission
201
xii Contents
10.3.3
Spontaneous emission in a single-mode
cavity: the
Purceii
effect
202
10.3.4
Experimental demonstrations of
11
the
Purcell
effect
204
10.4
Strong coupling
206
10.4.1
Cavity quantum electrodynamics
206
10.4.2
Experimental observations of strong coupling
209
10.5
Applications of cavity effects
211
Cold
atoms
216
11.1
Introduction
216
11.2
Laser cooling
218
11.2.1
Basic principles of
Doppler
cooling
218
11.2.2
Optical molasses
221
11.2.3
Sub-Doppler cooling
224
11.2.4
Magneto-optic atom traps
226
11.2.5
Experimental techniques for laser cooling
227
11.2.6
Cooling and trapping of ions
229
11.3
Bose-Einstein condensation
230
11.3.1
Bose-Einstein condensation as a phase
transition
230
11.3.2
Microscopic description of Bose-Einstein
condensation
232
11.3.3
Experimental techniques for Bose-Einstein
condensation
233
11.4
Atom lasers
236
IV Quantum information processing
241
12
Quantum cryptography
243
12.1
Classical cryptography
243
12.2
Basic principles of quantum cryptography
245
12.3
Quantum key distribution according to
the BB84 protocol
249
12.4
System errors and identity verification
253
12.4.1
Error correction
253
12.4.2
Identity verification
. 254
12.5
Single-photon sources
255
12.6
Practical demonstrations of quantum cryptography
256
12.6.1
Free-space quantum cryptography
257
12.6.2
Quantum cryptography in optical fibres
258
13
Quantum computing
264
13.1
Introduction
264
13.2
Quantum bits (qubits)
267
13.2.1
The concept of qubits
267
13.2.2
Bloch vector representation of single qubits
269
13.2.3
Column vector representation of qubits
270
Contents xiii
13.3 Quantum
logic gates and circuits
270
13.3.1
Preliminary concepts
270
13.3.2
Single-qubit gates
272
13.3.3
Two-qubit gates
274
13.3.4
Practical implementations of qubit operations
275
13.4
Decoherence and error correction
279
13.5
Applications of quantum computers
281
13.5.1
Deutsch s algorithm
281
13.5.2
Grover s algorithm
283
13.5.3
Shor s algorithm
286
13.5.4
Simulation of quantum systems
287
13.5.5
Quantum repeaters
287
13.6
Experimental implementations of quantum
computation
288
13.7
Outlook
292
14
Entangled states and quantum
teleportation
296
14.1
Entangled states
296
14.2
Generation of entangled photon pairs
298
14.3
Single-photon interference experiments
301
14.4
Bell s theorem
304
14.4.1
Introduction
304
14.4.2
Bell s inequality
305
14.4.3
Experimental confirmation of Bell s theorem
308
14.5
Principles of
teleportation
310
14.6
Experimental demonstration of
teleportation
313
14.7
Discussion
316
Appendices
A Poisson
statistics
321
В
Parametric amplification
324
B.I Wave propagation in a nonlinear medium
324
B.2 Degenerate parametric amplification
326
С
The density of states
330
D
Low-dimensional semiconductor structures
333
D.I Quantum confinement
333
D.2 Quantum wells
335
D.3 Quantum dots
337
E
Nuclear magnetic resonance
339
E.I Basic principles
339
E.2 The rotating frame transformation
341
E.3 The Bloch equations
344
xiv Contents
F
Bose—
Einstein
condensation
346
F.I Classical and quantum statistics
346
F.2 Statistical mechanics of Bose-Einstein condensation
348
F.3 Bose-Einstein condensed systems
350
Solutions and hints to the exercises
352
Bibliography
360
Index
369
|
| adam_txt |
Contents
List of
Symbols xv
List of abbreviations
xviii
I Introduction and background
1
1
Introduction
3
1.1
What is quantum optics?
3
1.2
A brief history of quantum optics
4
1.3
How to use this book
6
2
Classical optics
8
2.1
Maxwell's equations and electromagnetic waves
8
2.1.1
Electromagnetic fields
8
2.1.2
Maxwell's equations
10
2.1.3
Electromagnetic waves
10
2.1.4
Polarization
12
2.2
Diffraction and interference
13
2.2.1
Diffraction
13
2.2.2
Interference
15
2.3
Coherence
16
2.4
Nonlinear optics
19
2.4.1
The nonlinear susceptibility
19
2.4.2
Second-order nonlinear phenomena
20
2.4.3
Phase matching
23
3
Quantum mechanics
26
3.1
Formalism of quantum mechanics
26
3.1.1
The
Schrödinger
equation
26
3.1.2
Properties of wave functions
28
3.1.3
Measurements and expectation values
30
3.1.4
Commutators and the uncertainty principle
31
3.1.5
Angular momentum
32
3.1.6
Dirac notation
34
3.2
Quantized states in atoms
35
3.2.1
The gross structure
35
3.2.2
Fine and hyperfine structure
39
3.2.3
The
Zeeman
effect
41
3.3
The harmonic oscillator
41
3.4
The Stern-Gerlach experiment
43
3.5
The band theory of solids
45
χ
Contents
4
Radiative transitions in atoms
48
4.1
Einstein coefficients
48
4.2
Radiative transition rates
51
4.3
Selection rules
54
4.4
The width and shape of spectral lines
56
4.4.1
The spectral lineshape function
56
4.4.2
Lifetime broadening
56
4.4.3
Collisional (pressure) broadening
57
4.4.4
Doppler
broadening
58
4.5
Line broadening in solids
58
4.6
Optical properties of semiconductors
59
4.7
Lasers
61
4.7.1
Laser oscillation
61
4.7.2
Laser modes
64
4.7.3
Laser properties
67
II Photons
73
5
Photon statistics
75
5.1
Introduction
75
5.2
Photon-counting statistics
76
5.3
Coherent light: Poissonian photon statistics
78
5.4
Classification of light by photon statistics
82
5.5
Super-Poissonian light
83
5.5.1
Thermal light
83
5.5.2
Chaotic (partially coherent) light
86
5.6
Sub-Poissonian light
87
5.7
Degradation of photon statistics by losses
88
5.8
Theory of photodetection
89
5.8.1
Semi-classical theory of photodetection
90
5.8.2
Quantum theory of photodetection
93
5.9
Shot noise in
photodiodes
94
5.10
Observation of sub-Poissonian photon statistics
99
5.10.1
Sub-Poissonian counting statistics
99
5.10.2
Sub-shot-noise photocurrent
101
6
Photon antibunching
105
6.1
Introduction: the intensity interferometer
105
6.2
Hanbury Brown-Twiss experiments and
classical intensity fluctuations
108
6.3
The second-order correlation function
д^
(τ)
111
6.4
Hanbury Brown-Twiss experiments with photons
113
6.5
Photon bunching and antibunching
115
6.5.1
Coherent light
116
6.5.2
Bunched light
116
6.5.3
Antibunched light
117
6.6
Experimental demonstrations of photon antibunching
117
6.7
Single-photon sources
120
Contents xi
7
Coherent
states
and squeezed light
126
7.1
Light waves as classical harmonic oscillators
126
7.2
Phasor diagrams and field quadratures
129
7.3
Light as a quantum harmonic oscillator
131
7.4
The vacuum field
132
7.5
Coherent states
134
7.6
Shot noise and number-phase uncertainty
135
7.7
Squeezed states
138
7.8
Detection of squeezed light
139
7.8.1
Detection of quadrature-squeezed
vacuum states
139
7.8.2
Detection of amplitude-squeezed light
142
7.9
Generation of squeezed states
142
7.9.1
Squeezed vacuum states
142
7.9.2
Amplitude-squeezed light
144
7.10
Quantum noise in amplifiers
146
8
Photon number states
151
8.1
Operator solution of the harmonic oscillator
151
8.2
The number state representation
154
8.3
Photon number states
156
8.4
Coherent states
157
8.5
Quantum theory of Hanbury Brown-Twiss
experiments
160
III Atom—photon interactions
165
9
Resonant light—atom interactions
167
9.1
Introduction
167
9.2
Preliminary concepts
168
9.2.1
The two-level atom approximation
168
9.2.2
Coherent superposition states
169
9.2.3
The density matrix
171
9.3
The time-dependent
Schrödinger
equation
172
9.4
The weak-field limit: Einstein's
В
coefficient
174
9.5
The strong-field limit:
Rabi
oscillations
177
9.5.1
Basic concepts
177
9.5.2
Damping
180
9.5.3
Experimental observations of
Rabi
oscillations
182
9.6
The Bloch sphere
187
10
Atoms in cavities
194
10.1
Optical cavities
194
10.2
Atom-cavity coupling
197
10.3
Weak coupling
200
10.3.1
Preliminary considerations
200
10.3.2
Free-space spontaneous emission
201
xii Contents
10.3.3
Spontaneous emission in a single-mode
cavity: the
Purceii
effect
202
10.3.4
Experimental demonstrations of
11
the
Purcell
effect
204
10.4
Strong coupling
206
10.4.1
Cavity quantum electrodynamics
206
10.4.2
Experimental observations of strong coupling
209
10.5
Applications of cavity effects
211
Cold
atoms
216
11.1
Introduction
216
11.2
Laser cooling
218
11.2.1
Basic principles of
Doppler
cooling
218
11.2.2
Optical molasses
221
11.2.3
Sub-Doppler cooling
224
11.2.4
Magneto-optic atom traps
226
11.2.5
Experimental techniques for laser cooling
227
11.2.6
Cooling and trapping of ions
229
11.3
Bose-Einstein condensation
230
11.3.1
Bose-Einstein condensation as a phase
transition
230
11.3.2
Microscopic description of Bose-Einstein
condensation
232
11.3.3
Experimental techniques for Bose-Einstein
condensation
233
11.4
Atom lasers
236
IV Quantum information processing
241
12
Quantum cryptography
243
12.1
Classical cryptography
243
12.2
Basic principles of quantum cryptography
245
12.3
Quantum key distribution according to
the BB84 protocol
249
12.4
System errors and identity verification
253
12.4.1
Error correction
253
12.4.2
Identity verification
. 254
12.5
Single-photon sources
255
12.6
Practical demonstrations of quantum cryptography
256
12.6.1
Free-space quantum cryptography
257
12.6.2
Quantum cryptography in optical fibres
258
13
Quantum computing
264
13.1
Introduction
264
13.2
Quantum bits (qubits)
267
13.2.1
The concept of qubits
267
13.2.2
Bloch vector representation of single qubits
269
13.2.3
Column vector representation of qubits
270
Contents xiii
13.3 Quantum
logic gates and circuits
270
13.3.1
Preliminary concepts
270
13.3.2
Single-qubit gates
272
13.3.3
Two-qubit gates
274
13.3.4
Practical implementations of qubit operations
275
13.4
Decoherence and error correction
279
13.5
Applications of quantum computers
281
13.5.1
Deutsch's algorithm
281
13.5.2
Grover's algorithm
283
13.5.3
Shor's algorithm
286
13.5.4
Simulation of quantum systems
287
13.5.5
Quantum repeaters
287
13.6
Experimental implementations of quantum
computation
288
13.7
Outlook
292
14
Entangled states and quantum
teleportation
296
14.1
Entangled states
296
14.2
Generation of entangled photon pairs
298
14.3
Single-photon interference experiments
301
14.4
Bell's theorem
304
14.4.1
Introduction
304
14.4.2
Bell's inequality
305
14.4.3
Experimental confirmation of Bell's theorem
308
14.5
Principles of
teleportation
310
14.6
Experimental demonstration of
teleportation
313
14.7
Discussion
316
Appendices
A Poisson
statistics
321
В
Parametric amplification
324
B.I Wave propagation in a nonlinear medium
324
B.2 Degenerate parametric amplification
326
С
The density of states
330
D
Low-dimensional semiconductor structures
333
D.I Quantum confinement
333
D.2 Quantum wells
335
D.3 Quantum dots
337
E
Nuclear magnetic resonance
339
E.I Basic principles
339
E.2 The rotating frame transformation
341
E.3 The Bloch equations
344
xiv Contents
F
Bose—
Einstein
condensation
346
F.I Classical and quantum statistics
346
F.2 Statistical mechanics of Bose-Einstein condensation
348
F.3 Bose-Einstein condensed systems
350
Solutions and hints to the exercises
352
Bibliography
360
Index
369 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Fox, Mark 1961- |
| author_GND | (DE-588)14135920X |
| author_facet | Fox, Mark 1961- |
| author_role | aut |
| author_sort | Fox, Mark 1961- |
| author_variant | m f mf |
| building | Verbundindex |
| bvnumber | BV021300182 |
| 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)318372577 (DE-599)BVBBV021300182 |
| 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 | 1. publ. |
| format | Book |
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| genre_facet | Lehrbuch |
| id | DE-604.BV021300182 |
| illustrated | Illustrated |
| index_date | 2024-07-02T13:52:21Z |
| indexdate | 2024-07-09T20:35:06Z |
| institution | BVB |
| isbn | 0198566727 0198566735 9780198566724 9780198566731 |
| language | English |
| lccn | 2005025707 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014620891 |
| oclc_num | 318372577 |
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| physical | XVII, 378 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Oxford Univ. Press |
| record_format | marc |
| series | Oxford master series in physics |
| series2 | Oxford master series in physics |
| spelling | Fox, Mark 1961- Verfasser (DE-588)14135920X aut Quantum optics an introduction Mark Fox 1. publ. Oxford [u.a.] Oxford Univ. Press 2006 XVII, 378 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford master series in physics 15 : Atomic, optical, and laser physics Optica cuántica Quantum optics Quantenoptik (DE-588)4047990-0 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Quantenoptik (DE-588)4047990-0 s DE-604 Oxford master series in physics 15 : Atomic, optical, and laser physics (DE-604)BV017064373 15 http://www.loc.gov/catdir/toc/ecip0518/2005025707.html Table of contents Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014620891&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Fox, Mark 1961- Quantum optics an introduction Oxford master series in physics Optica cuántica Quantum optics Quantenoptik (DE-588)4047990-0 gnd |
| subject_GND | (DE-588)4047990-0 (DE-588)4123623-3 |
| title | Quantum optics an introduction |
| title_auth | Quantum optics an introduction |
| title_exact_search | Quantum optics an introduction |
| title_exact_search_txtP | Quantum optics an introduction |
| title_full | Quantum optics an introduction Mark Fox |
| title_fullStr | Quantum optics an introduction Mark Fox |
| title_full_unstemmed | Quantum optics an introduction Mark Fox |
| title_short | Quantum optics |
| title_sort | quantum optics an introduction |
| title_sub | an introduction |
| topic | Optica cuántica Quantum optics Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Optica cuántica Quantum optics Quantenoptik Lehrbuch |
| url | http://www.loc.gov/catdir/toc/ecip0518/2005025707.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014620891&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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