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| Àâòîðèçàöèÿ |
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| Ïîèñê ïî óêàçàòåëÿì |
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| Barnett S.M., Radmore P.M. — Methods in Theoretical Quantum Optics |
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| Ïðåäìåòíûé óêàçàòåëü |
A-coefficient 134 169
Above-threshold ionization 143
Absorption 19 22 24 166 176 186
Ackerhalt 217
Alternating symbol 223
Amplitude equations 5 11 15—19 21 27 132
Analytic continuation 141 205 246
Analytic function 89
Angular momentum, coherent state 80—86
Angular momentum, eigenstate 80
Angular momentum, operator 35 36 45—46 80 82 84 237
Angular momentum, vector 83
Annihilation operator 11—13 24 36 84 129 145 220
Annihilation operator for a quasi-mode 214—216
Annihilation operator in the Heisenberg picture 30—32 146 251
Annihilation operator, action on a coherent state 58 60
Annihilation operator, action on a number state 36
Annihilation operator, dressed 214—216
Annihilation operator, expressed in terms of number and phase operators 100
Annihilation operator, expressed in terms of quadrature operators 64
Annihilation operator, unitary transformation of 18 75 77
Anticommutator 4 47 224
Antinormal ordering 41 42 44 48 50 55 57 106 117 237
Associated Laguerre polynomial 28 111 114 231 254
Atomic coherent state 80—86
Atomic level 27 34
Atomic operator 153—156 159 165 256 see
Autler — Townes spectrum 186 187 208 213
Bare state 182—188 190 195—196 198 200—201 203 207 209
Beam-splitter 77 80 84 86 94
Bernoulli sampling 94—95
Bessel function 120 231—232
beta function 82 228—229
Binomial distribution 81 168
Binomial expansion 27 69 90
Binomial factor 86 94
Bixon — Jortner quasi-continuum 27—29 196—199
Black-body radiation 53
Bloch equations 170
Boltzmann's constant 53
Bose — Einstein distribution 54 57 92 95 156
Boson operators 52 53 56 66 77
Bra 1
Broad-band field 150 152 157
Bromwich contour 250
c-number Langevin equation see "Langevin equation"
Cauchy residue theorem 245 248 250
Cauchy — Schwarz inequality 7
Cavity 145 148 213 215 217
Cavity mode 31 145—146 150—152 154 163 165—167 175 213 216 217
Characteristic function 106—114 116 117 119 122—123 125—129 178—179
Characteristics, method of 178 258—261
Classical current 178
Coherent amplitude 73
coherent interaction 14—34 132 186
Coherent squeezed state 72—75
Coherent state 57—67 88—89 112 117 167—168 239 see
Coherent state, conditioned density matrix for 175—176
Coherent state, moment generating function for 92 178
Coherent state, phase properties of 103—105
Collapse 25—27 189 217
Commutation relation 30 35 38 46 48 51 145 146 153 see
Commutation relation for continuum operators 38
Commutation relation for differential operators 266
Commutator 3—4 42—43 45 46 236 238 see
Commutator of angular momentum operators 35 237
Commutator of creation and annihilation operators 11 100
Commutator of creation and annihilation operators with the number operator 12 36
Commutator of dressed operators 214
Commutator of Langevin operators 148
Commutator of number and phase operators 98
Commutator of Pauli operators 35 224
Commutator of quadrature operators 37 234
Commutator, equal time 30 32 146 147 149
Commutator, involving continuum operators 38 48 51—52
Compatible 4
Complementary 96 98
Complete, basis 8 62
Complete, set 3—6 8 12 37 39 40 50 62 87 88 96 199 203 205 215
Conditioned, density matrix 175—176
Conditioned, evolution 174—176
Conditioned, wavefunction 176
conjugate 37 95—96 99
Conjugate, eigenvalue equation 2
Continuum, flat 132 135 143 206—208
Continuum, operator 13 38 39 42 47 48 51 56 78 79 236 237
Continuum, operator commutation relation 38
Continuum, squeezed vacuum state 79
Continuum, state 51 52 200 203 205 209
Continuum, state, amplitude 140—143
Continuum-continuum interactions 143
Contour integration 147 207 245—249
Convolution 23 116 252
Correlation 8 23 76 78 125
Correlation, function 55—56 152 155—160 164—165 172—173 180 221 272 274 275
Counter-rotating terms 32 33
Coupling 14 22 27 130 133 134 136 146 153 169 209
Coupling, constant 138 143 212 215 240
Coupling, effective 194
Coupling, Lorentzian 206—208
Creation operator 11—13 18 24 30—32 36 41 59 100 145 215
Creation operator, continuum 38 51—52 66 145 162 214
Cross-product 223
Cubic equation 191—192 276
Damped cavity mode 145 163 165 175
Damped cavity mode, annihilation operator 154
Damped harmonic oscillator 145 152
Damping 145—161 165 167 208 see
Damping, rate 137
Decorrelation 22—23 155—156 159 163—164 169 255—257 270
Delta function 22 135 173 204 225—227
Delta function, commutator 38
Delta function, derivatives of 118 121 123 227
Delta function, moment 56
Delta function, orthogonality 37 88 200
Delta function, three-dimensional 38 226—227
Delta function, two-dimensional 109 118 121 124
Density matrix 6 8 10 53—55 76 87 97 108 110 112 117 162—169 174—176
Determinant 183 191 273
Detuning 15 19 21 30 131 144 150 190
Diagonalization 182 200 207 209
Dielectric medium 14 32
Differential operator 178 263—265 266
Diffusion 179—180 266—268 273 274
Dipole 53 153 156 157 171 see
Dipole, matrix element 190
Dipole, moment 9 156 171
Dipole, operator 11 38
Dirac 95 201
Dirac, delta function see "Delta function"
Displacement operator 43—44 57 106 112 122 126 see
Displacement operator, continuum 47 65
Displacement operator, functions of 63
Displacement operator, number state matrix elements of 113—114
Displacement operator, product of two displacement operators 62 65 78 85
Displacement operator, unitary transformation induced by 60 116 122
Dissipation 130—181
Double pole 249
Dressed, operator 213—221
Dressed, state 182—221
Drift term 179 266
Eigenfrequency 169 183 189 191—198
Eigenfrequency, operator 217—221
Eigenoperator equation 213—215 218—219
Eigenstate 2—5 12 36 37 51 58 65 80 96 182 see
Eigenvalue 2 3 5
Eigenvalue, equation 2 12 37 39 97 183 189 197
Einstein, A-coefficient 134 169
Einstein, rate 10 166
Electric Dipole 11 35 53
| Electric dipole, approximation 11 35
Electric dipole, Hamiltonian 13
Electric dipole, interaction 14 18 38
electric field 13 15
Electric field, operator 13 38 216
electromagnetic field 1 10 13 14 24 87
Energy level 34 187
Ensemble average 3 269 272
Entangled state 8 24 76 126 128
Environment 53 130 145 161—163 165 168—169 174 176
Environment, operators 145—151 163—165
Excitation number 217
Excited state 10 83 152 156 206
expectation value 3 5 6 8 15 16 34 36 50
Exponential decay 14 29 132 133 144 146 195 208
Fabry — Perot, cavity 215
Fabry — Perot, mode functions 217
Factorial moment 90 92—95 111 119 178
Fano theory 200—213
Fermi Golden Rule 130—133
Fermi — Dirac statistics 53
Field, mode 12 17 29—33 53 61 237 238
Field, statistics 176—181
Final value theorem 140—145 206 250—254
Final-state spectrum 132 133 140 143 206 208 212—213
Fluctuations 22 23 145 216
Fluorescence 171 173 187
Fokker — Planck equation 179 266—275
Fourier transform 26 114 116 122 128 129 135
Free Hamiltonian 11
Frequency shift 33 134 136 137 151 154 157 165 195 201 206
Function of an operator 5 39
Functional derivative 47—50
Gamma function 228—229
Gaussian 26 64 71 72 75 103 104 116 122 123 125 226
Generalized function 37 115 116 118 127 179 see
Generating function 93 110 229 230 231 see
Glauber displacement operator see "Displacement operator"
Glauber — Sudarshan P-representation see "P-representation"
Green function 180 267—268
Ground state 83 152 186 198
Hamiltonian 5 11—13 16 32 39 53 129 145 153 162 180
Hamiltonian for free field 38
Hamiltonian for Jaynes — Cummings model 24
Hamiltonian for two interacting modes 29
Hamiltonian in interaction picture 16—18 85 163 168 180 190 196 198—199 200 203—204 209 214 215 253
harmonic oscillator 11 36 37 88 128 145 152 162
Heaviside function see "Unit step function"
Heisenberg, equation 6 13 30—32 146 153 255—257
Heisenberg, picture 6 14 30 35 145—161 164 180 213
Heisenberg, uncertainty principle see "Uncertainty principle"
Hermite polynomial 37 229
Hermitian, conjugate 2 4 6 9 68 77
Hermitian, operator 2—6 9 11 39 59 see
Hilbert space 37 95—96 100 103 105
Husimi function 119 see
Identity matrix 9 169 222
Identity operator 4 7 91
Identity operator, resolution of 4 12 37 61 74 81 87
Incompatible observables 1 4
Infinite series, summation of 248
Inner product 1 2
Interaction picture 14—18
Inverse 5 220 226
Inversion of transform 23 28 250—254
Inversion, atomic 9 34 53 152 156 171—172 195
Ionization 14 130 136—137 143 186 195 207
Jacobian 74
Jaynes — Cummings model 13 23—27 188 213 217 219
Joint, distribution 119
Joint, measurements 119
Kernel 22 23 135 148 149 154
Ket 1 7
Kronecker delta 3 90 222—224
Ladder system 190
Laguerre polynomial 28 110 113 230 232—233
LAMBDA system 190 195
Langevin, equation 148 180 269 271
Langevin, operator 148—149 154—157 159 164 256—257
Langevin, term 154 180 269 270 272 274 275
Laplace transform 20 23 27 120 133 138 144 146 250—254 see
Laser 57 136 137 144 169 186
Legendre polynomial 93—94 230
Liouville equation 163 169
Long-time limit 141 151 171
Lorentzian, continuum 206—209
Lorentzian, spectrum 23 142 145 160 161 209
Maclaurin expansion 39 267
Magnetic field 11 36 38
Markov approximation 135—136 147—149 151—152 154 156—157 159 165 256
Master equation 10 161—179 262—265
Matrix element 6 8 47 105 114 117 118 131 189 234 238 see "Number
Mean 3 6 36 54 102 149 221
Minimum uncertainty state 4 60 105
Mixed state 53 87 89 168 174
MODE 11—13 24 29—33 36 38 50 61 65 75—77 84—87 177 216—217 see "Field "Multimode" "Quasimode" "Single
Mollow spectrum 173—174 186—188
moment 42 50 54—56 79 89 96 100 110 115 121 149—150 see "p-ordered
Moment, generating function 89—95 108—109 119—120 122 125 177—178
Monochromatic field 11 14 15 18 130 190
Multimode states 125—129
Noisy fields 21—22
Non-classical, effect 161
Non-classical, state 29
Non-linear optics 14 29 30 67 76 179
Norm 51—53
Normal coordinates 273—274
Normal mode 32—33 274
Normal ordering 43—44 47—48 58 63 66 91 111 236—239
Normalization 7 51 87 203 210—111 225
Number operator 12 36 41—42 50—51 95—96 217 219 236
Number operator, continuum generalization of 39 51 53 56 66
Number operator, expectation value of 58 69 74
Number operator, moments of 54—55 59 76 89 98 100
Number operator, powers of 42 44
Number state 12 24 36 45 50—53 87 96 99 101 175
Number state, characteristic function of 109
Number state, displaced 62 88 117
Number state, matrix elements 97 113—114 239
Number state, P-representation of 118
Number state, Q-function for 121
Number state, quasi-probability distribution for 120
Observable 1 2 4—6 8 9 11 34 36 38 148 149 166 172 205 213
Off-diagonal damping 138—140 142 211
Optical resonance 213 217
Ordering 39—50 153 180 218 see "Normal "p-ordering" "Symmetric
Ordering in the Heisenberg equations 155 255—257
Ordering of differential operators 264
Ordering, theorems 39—50 236—239
Orthogonal 1—3 6 37 71 197 222
Orthogonality of functions 216 229 230
Orthonormal states 2—4 6 8 9 12 62 96 199
Orthonormality condition 201 214
Outer product 4
Overcomplete 51 61 74 81 88 96
Overlap 1—3 52 197 198
Overlap between a quadrature state and a coherent state 64 235
Overlap between a quadrature state and a number state 37
Overlap between a quadrature state and a squeezed state 72
Overlap between a squeezed state and a coherent state 71
Overlap between two angular momentum coherent states 81
Overlap between two coherent states 61
Overlap between two continuum coherent states 66
Overlap between two phase states 96
Overlap between two quadrature states 37
Overlap between two squeezed states 71
Overlap, integral 53
p-ordered moment 107—108 112 126 129
p-ordering 106—107
P-representation 117—118 120 121 127
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