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| Puri P.R. — Mathematical methods of quantum optics |
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| Предметный указатель |
Absorption spectrum 182
Ac Stark splitting 223
Algebra, harmonic oscillator 41
Algebra, SU(1, 1) 43
Algebra, SU(2) 42
Algebra, SU(m) 44
Algebra, SU(m, n) 45
Antibunching 132
Antinormal ordering 49 83
Bargmann representation 64
Bell’s inequality 35
Bloch — Siegert shift 142
Bloembergen resonances 224
Born approximation 157
Bunching 134
Cat paradox 31
Cavity QED 151
Chapman — Kolmogorov equation 103
Characteristic function 100
Coherent multiphoton process 148
Coherent states 58
Coherent states of e.m. field 58 133
Coherent states of harmonic oscillator 62
Coherent states of spins 70
Coherent states of SU(2) 70
Coherent states, completeness relation 57
Coherent states, completeness relation for harmonic oscillator 62
Coherent states, completeness relation for SU(1, 1) 78
Coherent states, completeness relation for SU(2) 72
Coherent states, generalized 57
Coherent states, Glauber 58 62
Coherent states, minimum uncertainty 59
Coherent states, minimum uncertainty of harmonic oscillator 64
Coherent states, minimum uncertainty of spins 70 72
Coherent states, minimum uncertainty of SU(1, 1) 77
Coherent states, pair 78 248
Coherent states, Perelomov 57
Coherent states, uncorrelated equal variance minimum uncertainty 59
Coherent states, uncorrelated equal variance minimum uncertainty of harmonic oscillator 62
Coherent states, uncorrelated equal variance minimum uncertainty of spins 70
Coherent states, uncorrelated equal variance minimum uncertainty of SU(1, 1) 77
Collapses and revivals 206
Collisional damping 172
Complementarity 12 27
Cumulants 101
Density operator 21
Descarte’s rule 277
Detailed balance 106 108 160 225
Differentiation, parametric 8
Differentiation, parametric of exponential operator 37
Differentiation, parametric of operator product 8
Disentangling an exponential 48
Disentangling an exponential, harmonic oscillator algebra 49
Disentangling an exponential, SU(1, 1) algebra 51
Disentangling an exponential, SU(2) algebra 50
Down conversion 151 239
Dressed states 204
E.m. field, chaotic, classical 127
E.m. field, chaotic, quantum 133
E.m. field, coherence time 130
E.m. field, coherent 127 133
E.m. field, correlation functions, classical 123
E.m. field, correlation functions, quantum 130
E.m. field, quantization 121
Effective two-level approximation 212
Effective two-level atom 147
Eigenvalue 7 186
Eigenvalue, generalized 189
Eigenvector 7 186
Eigenvector, generalized 189
Entangled state 20 25
EPR paradox 32
Equal variance minimum uncertainty state 13
Fokker — Planck equation 107
Four-wave mixing 223 257
Four-wave mixing, collision induced resonances 224 257
Four-wave mixing, quantum resonances 258
Gaussian process 102
Geometric phase 16
Geometric phase in adiabatic evolution 18
Geometric phase of a harmonic oscillator 18
Geometric phase of a two-level system 18
Hamilton — Cayley theorem 190
Heisenberg equation 14
Hidden variables theory 34
Hidden variables theory, local 34
Hilbert space 1
Homodyned detection 134
Hurwitz criterion 277
Husimi function 87
Incompatibility 12
Interaction picture 15
Interference 26 27
Jaynes — Cummings model 143 144 204
Jordan canonical form 189
Lie algebra 40
Lie group 56
Markov approximation 158
Markov process 103
Master equation 104 105 158
Measurement problem 30
Micromaser 259
Micromaser, trapping condition 264
Minimum uncertainty states 12 59
Minimum uncertainty states of harmonic oscillator 61 67
Minimum uncertainty states of spins 70
Minimum uncertainty states of SU(1, 1) 77
Mixed state 22
| Moments 100
Multi time joint probability 15
Multi-channel models 149
Noise, additive 110
Noise, coloured 109
Noise, delta correlated 109
Noise, Gaussian white 109
Noise, multiplicative 110 112
Noise, white 109
Non-classical states 95
Non-classical states of e.m. field 95
Non-classical states of spin-1/2s 97
Normal ordering 49 83
Ornstein — Uhlenbeck process 110—112
P-function 86
P-function for spins 91
Parametric processes 150
Phase, dynamic 16
Phase, geometric 16 see
Photon 122
Poisson process 115
Probability amplitude 11
probability density 11 99
Probability density, conditional 103
Probability density, joint 99
Pure state 22
Q-function 87
Q-function for spins 92
Quantum eraser 29
Quasiprobability distribution 83
Quasiprobability distribution for spins 89
Rabi frequency 142 221
Random telegraph noise 116
Regression theorem 105 163
Representations by eigenvectors 55
Representations of harmonic oscillator algebra 60
Representations of SU(1, 1) algebra 76
Representations of SU(2) algebra 68
Representations, equivalent 56
Representations, labeled by group parameters 56
Resonance approximation 144
Resonance fluorescence 171 219
Resonance fluorescence, collective 225
Rotating wave approximation 143 181
Rydberg atom 152
s-ordering 83
Schmidt decomposition 25
Schroedinger equation 13
Schwarz inequality 2
Schwarz inequality, generalized 3
Secular approximation 162 227 253 256
Semiclassical approximation 139
Similarity transformation 39
Similarity transformation, harmonic oscillator 41
Similarity transformation, SU(1, 1) 43
Similarity transformation, SU(2) 42
Similarity transformation, SU(m) 44
Similarity transformation, SU(m, n) 45
Sneddon’s formula 37
Spectroscopic squeezing 75
Spectrum 136
Spectrum, absorption 223 256
Spectrum, Emission 222
Spin operators, collective 69
Spin operators, lowering 23
Spin operators, raising 23
Squeezed reservoir 166
Squeezed states of harmonic oscillator 67
Squeezed states of spins 73 74
Squeezed vacuum 166
Squeezing operator 65
Stark shift 214
Stationary process 100
Stochastic differential equation 109
Sub-Poissonian distribution 132
Superoperator 10
Superoperator, adjoint 10
Superposition, principle of 26
susceptibility 179
Susceptibility, optical 180
Symmetric ordering 83
Symmetric ordering for spins 94
Thermal reservoir 164
Three level atom 145
Time-ordered exponential integration, harmonic oscillator algebra 52
Time-ordered exponential integration, SU(1, 1) algebra 53
Time-ordered exponential integration, SU(2) algebra 53
Trace 6
Transition probability 103
Two-channel Raman-coupled model 150 207
Two-level atom 144
Two-photon process 146
Two-photon reservoir in ladder configuration 245
Two-photon reservoir in Lambda configuration 248
Uncertainty relation 12
Uncorrelated equal variance minimum uncertainty state 13 62
Vacuum field Rabi oscillations 205
Vacuum field Rabi splitting 257
Vacuum fluctuations 122
Wave mixing 149 181
Wave-particle duality 26
Welcher Weg 28
Which path 28
Wiener process 110 111
Wiener — Khintchine theorem 136
Wigner function 87
Wigner function for spins 92
Zeno effect 16
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