Quantum optics:
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| Format: | Electronic eBook |
|---|---|
| Language: | English |
| Published: |
Weinheim
WILEY-VCH
2006
|
| Edition: | 3., rev. and extended ed. |
| Subjects: | |
| Online Access: | TUM01 UBR01 Volltext Inhaltsverzeichnis |
| Item Description: | Druckausg. u.d.T.: Quantum optics(XII, 508 S.) |
| Physical Description: | 1 Online-Ressource |
| ISBN: | 3527405070 9783527405077 9783527608522 |
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| 245 | 1 | 0 | |a Quantum optics |c Werner Vogel and Dirk-Gunnar Welsch |
| 250 | |a 3., rev. and extended ed. | ||
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Record in the Search Index
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| adam_text | Preface XI
1 Introduction 1
1.1 From Einstein s hypothesis to photon anti bunching 2
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 20
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 51
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
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 204
3.5.1 The eigenvalue problem of V 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 Symmetrie ordering: The Q and the W
function 220
4.2.3 Parameterized phase space functions 121
4.3 Operator expansion in phase space 224
4.3.1 Orthogonalization relations 225
4.3.2 The density Operator in phase space 226
4.3.3 Some elementary examples 229
5 Quantum theory of damping 135
5.1 Quantum Langevin equations and one time averages 237
5.1.1 Hamiltonian 237
5.1.2 Heisenberg equations of motion 239
5.1.3 Born and Markov approximations 242
5.1.4 Quantum Langevin equations 242
5.2 Master equations and related equations 246
5.2.1 Master equations 247
5.2.2 Fokker Planck equations 148
5.3 Damped harmonic oscillator 252
5.3.1 Langevin equations 252
5.3.2 Master equations 255
5.3.3 Fokker Planck equations 256
5.3.4 Radiationless dephasing 158
5.4 Damped two level System 161
5.4.1 Basic equations 161
5.4.2 Optical Bloch equations 164
5.5 Quantum regression theorem 269
6 Photoelectric detection of light 173
6.1 Photoelectric counting 173
6.1.1 Quantum mechanical transition probabilities 174
6.1.2 Photoelectric counting probabilities 179
6.1.3 Counting moments and correlations 183
6.2 Photoelectric counts and photons 187
6.2.1 Detection scheme 2«7
6.2.2 Mode expansion 189
6.2.3 Photon number statistics 291
6.3 Nonperturbative corrections 295
6.4 Spectral detection 297
6.4.1 Radiation field modes 298
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
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 f unction 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 313
9.4.1 Source quantity representation 314
9.4.2 Input output relations 316
9.5 Commutation relations 317
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 341
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
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 333
11.3 Multi level effects 392
11.3.1 Dark resonances 392
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 423
12.2.1 Reduced density matrix 423
12.2.2 Collapse and revival 425
12.2.3 Quantum nature of the revivals 422
12.2.4 Coherent preparation 422
12.3 Field dynamics 424
12.3.1 Reduced density matrix 424
12.3.2 Photon statistics 425
VIA 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 462
13.4.1 Sideband laser cooling 462
I
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.l Basic relations 481
A.2 Asymptotic behavior 482
B Equal time commutation relations 485
C Algebra of bosonic Operators 487
C.l Exponential operator disentangling 487
C.2 Normal and anti normal ordering 490
D Sampling funetion for the density matrix in the number basis 493
Index 497
|
| adam_txt |
Preface XI
1 Introduction 1
1.1 From Einstein's hypothesis to photon anti bunching 2
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 20
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 51
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
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 204
3.5.1 The eigenvalue problem of V 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 Symmetrie ordering: The Q and the W
function 220
4.2.3 Parameterized phase space functions 121
4.3 Operator expansion in phase space 224
4.3.1 Orthogonalization relations 225
4.3.2 The density Operator in phase space 226
4.3.3 Some elementary examples 229
5 Quantum theory of damping 135
5.1 Quantum Langevin equations and one time averages 237
5.1.1 Hamiltonian 237
5.1.2 Heisenberg equations of motion 239
5.1.3 Born and Markov approximations 242
5.1.4 Quantum Langevin equations 242
5.2 Master equations and related equations 246
5.2.1 Master equations 247
5.2.2 Fokker Planck equations 148
5.3 Damped harmonic oscillator 252
5.3.1 Langevin equations 252
5.3.2 Master equations 255
5.3.3 Fokker Planck equations 256
5.3.4 Radiationless dephasing 158
5.4 Damped two level System 161
5.4.1 Basic equations 161
5.4.2 Optical Bloch equations 164
5.5 Quantum regression theorem 269
6 Photoelectric detection of light 173
6.1 Photoelectric counting 173
6.1.1 Quantum mechanical transition probabilities 174
6.1.2 Photoelectric counting probabilities 179
6.1.3 Counting moments and correlations 183
6.2 Photoelectric counts and photons 187
6.2.1 Detection scheme 2«7
6.2.2 Mode expansion 189
6.2.3 Photon number statistics 291
6.3 Nonperturbative corrections 295
6.4 Spectral detection 297
6.4.1 Radiation field modes 298
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
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 f unction 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 313
9.4.1 Source quantity representation 314
9.4.2 Input output relations 316
9.5 Commutation relations 317
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 341
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
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 333
11.3 Multi level effects 392
11.3.1 Dark resonances 392
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 423
12.2.1 Reduced density matrix 423
12.2.2 Collapse and revival 425
12.2.3 Quantum nature of the revivals 422
12.2.4 Coherent preparation 422
12.3 Field dynamics 424
12.3.1 Reduced density matrix 424
12.3.2 Photon statistics 425
VIA 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 462
13.4.1 Sideband laser cooling 462
I
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.l Basic relations 481
A.2 Asymptotic behavior 482
B Equal time commutation relations 485
C Algebra of bosonic Operators 487
C.l Exponential operator disentangling 487
C.2 Normal and anti normal ordering 490
D Sampling funetion for the density matrix in the number basis 493
Index 497 |
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| any_adam_object_boolean | 1 |
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| bvnumber | BV022423067 |
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| ctrlnum | (OCoLC)315684054 (DE-599)BVBBV022423067 |
| dewey-full | 535 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 535 - Light and related radiation |
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| discipline | Physik |
| discipline_str_mv | Physik |
| edition | 3., rev. and extended ed. |
| format | Electronic eBook |
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| genre | (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV022423067 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T17:26:23Z |
| indexdate | 2024-07-09T20:57:16Z |
| institution | BVB |
| isbn | 3527405070 9783527405077 9783527608522 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015631359 |
| oclc_num | 315684054 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-91 DE-BY-TUM DE-11 |
| owner_facet | DE-355 DE-BY-UBR DE-91 DE-BY-TUM DE-11 |
| physical | 1 Online-Ressource |
| psigel | ZDB-35-WIC FHR_PDA_WIC |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | WILEY-VCH |
| record_format | marc |
| spelling | Quantum optics Werner Vogel and Dirk-Gunnar Welsch 3., rev. and extended ed. Weinheim WILEY-VCH 2006 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Druckausg. u.d.T.: Quantum optics(XII, 508 S.) Quantenoptik (DE-588)4047990-0 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Quantenoptik (DE-588)4047990-0 s DE-604 Vogel, Werner Sonstige oth Welsch, Dirk-Gunnar Sonstige oth https://onlinelibrary.wiley.com/doi/book/10.1002/3527608524 Verlag Volltext https://onlinelibrary.wiley.com/doi/book/10.1002/3527608524 Volltext HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015631359&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | 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 | Quantenoptik (DE-588)4047990-0 gnd |
| topic_facet | Quantenoptik Lehrbuch |
| url | https://onlinelibrary.wiley.com/doi/book/10.1002/3527608524 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015631359&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT vogelwerner quantumoptics AT welschdirkgunnar quantumoptics |