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Авторизация |
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Walls D.F., Milburn G.J. — Quantum Optics |
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Предметный указатель |
Adiabatic elimination 179 249 254
Antibunching, laser 3
Antibunching, photon 2
Antibunching, resonance fluorescence 221
Antibunching, second-order correlation function 42
Antibunching, sub-Poissonian statistics 42
Atomic decay rate, transverse 246
Atomic operators, collective 247
Atomic optics 5
Back action evasion 284
Bargmann state 99
Beam splitter 287
Bell inequality 4 265
Bell inequality, CHSH form 266
Bell inequality, parametric down conversion 268
Bistability, dispersive (linear) 153
Bistability, dispersive (linear), squeezing spectrum 156
Bistability, dispersive (nonlinear) 191
Bistability, dispersive (nonlinear), Fokker — Planck equation 191
Bistability, optical 245
Bistability, optical, atomic model 245
Bistability, optical, noise correlation 249
Brownian motion 112
Bunching, photon 2
Bunching, second-order correlation function 40 42
Bunching, sub-Poissonian statistics 42
Cauchy — Schwarz inequality 32 78
Cavity, boundary condition 121
Cavity, laser 229
Cavity, two-sided 126
Chaotic field see "Thermal field"
Characteristic function 62
Characteristic function, optical bistability 247
Characteristic function, P representation 62
Characteristic function, Q representation 65
Characteristic function, quantum coherence 303
Characteristic function, Wigner representation 63 106
CHSH inequality 266
Clauser — Horne inequality 269
Coherence function 298
Coherence, first order optical 34
Coherence, first order optical, Young's interference experiment 35
Coherence, optical 29
Coherence, quantum 303
Coherence, quantum, visibility 303
Coherent field 38
Coherent state 12 108
Coherent state, completeness 14
Coherent state, displacement operator 12
Coherent state, number state expansion 12
Coherent state, Poissonian statistics 13 58
Coherent state, second-order correlation function 42 58
Coherent state, two photon 18
Coincidence probability 275
Collisional broadening limit 246
Complementarity 5 261 316
Contractive state 282 337
Correlated state 261
Correlated state, polarization 263
Correlation function 31
Correlation function, first order 30
Correlation function, general inequalities 31
Correlation function, higher order 30
Correlation function, phase dependent 44
Correlation function, phase information 44
Correlation function, photon number 222
Correlation function, QND 285
Correlation function, second-order 39
Correlation function, second-order, antibunching 42
Correlation function, second-order, bunching 40
Correlation function, second-order, coherent state 42
Correlation function, second-order, number state 42
Correlation function, second-order, thermal field 58
Correlation function, two-time 53
Correlation function, two-time, Brownian motion 113
Correlation function, two-time, input-output formalism 127
Correlation function, two-time, master equation 91
Correlation function, two-time, Ornstein — Uhlenbeck process 116
Correlation function, two-time, parametric oscillator 133
Correlation function, two-time, phase diffusion 236
Correlation function, two-time, photon counting 53
Correlation function, two-time, regularly pumped laser 237
Correlation function, two-time, resonance fluorescence 217 222 225
Correlation function, two-time, two-level atom 207
Correlation, Hanbury-Brown Twiss experiment 1 30 39
Correlation, intensity 39
Correlation, parametric amplifier 75
Covariance matrix 61
Covariance matrix, stationary 116
Density operator, reduced 92
Detailed balance 98
Detailed balance, harmonic oscillator 98
Detailed balance, laser 232
Duality, wave-particle 315
Efficiency, quantum 52
Einstein — Podolsky — Rosen paradox see "EPR paradox"
Electric dipole approximation 200 245
electromagnetic field 7
Electromagnetic field, commutation relations 10
Electromagnetic field, Hamiltonian 10
Electromagnetic field, quantisation 7
Electromagnetic field, vacuum state 10
Entangled state 275 318
EPR paradox 4 261
EPR paradox, parametric amplifier 81
Error ellipse 16
Error ellipse, coherent state 16
Error ellipse, Wigner function 63
Fock state see "Number state"
Fokker — Planck equation 101
Fokker — Planck equation, degenerate parametric oscillator 178
Fokker — Planck equation, dispersive bistability 155 191
Fokker — Planck equation, Green's function 103
Fokker — Planck equation, potential condition 101
Fokker — Planck equation, stochastic differential equation 111
Four-wave mixing 3 245 252
Four-wave mixing, degenerate operation 257
Four-wave mixing, noise correlation 254
Four-wave mixing, phase matching 253
Four-wave mixing, QND 294
Four-wave mixing, side-band modes 253
Four-wave mixing, squeezing spectrum 256
Gain, QND 290 295
Gravitational radiation 281
Hanbury-Brown Twiss experiment 1 30 37
harmonic oscillator 11
Harmonic oscillator, damped 115
Harmonic oscillator, electromagnetic field 11
Harmonic oscillator, Fokker — Planck equation 100 110
Harmonic oscillator, master equation 93
Harmonic oscillator, transition probabilities 98
Heat bath see "Reservoir"
Hidden Variable Theory 264
Homodyne detection 45
Homodyne detection, four-wave mixing 255
Homodyne detection, parametric oscillator 132
Input-output formalism 121
Input-output formalism, boundary condition 124
Input-output formalism, laser fluctuations 233
Input-output formalism, parametric oscillator 129
Input-output formalism, photon counting distribution 51
Input-output formalism, squeezing spectrum 129
Input-output formalism, two-time correlation function 127
Intensity fluctuations, laser 234 239
Interaction picture 201
Interferometer, gravity wave 158
Interferometer, gravity wave, semiclassical behaviour 162
Interferometer, gravity wave, signal variance 166
Interferometer, gravity wave, total noise 167
Interferometer, Mach — Zehnder 172
| Interferometer, polarization 174
Interferometry, matter 5 315 327
Interferometry, optical 1
Interferometry, optical, squeezed light 3
Jaynes Cummings model 204
Kapitza — Dirac regime 323
Kerr effect 87 191
KTP crystal 291
Langevin equation 112
Langevin equation, Brownian motion 112
Langevin equation, constant diffusion process 115
Langevin equation, damped harmonic oscillator 113
Langevin equation, four-wave mixing 254
Langevin equation, input-output formalism 124
Laser 2 229
Laser cooling 5 315
Laser, diode 229
Laser, fluctuations 229
Laser, fluctuations, intensity 234
Laser, fluctuations, photon number 233 238
Laser, fluctuations, pump 236
Laser, fluctuations, sub-shot noise 229
Laser, gain 232
Laser, phase diffusion 235
Laser, quantum theory 229
Laser, regularly pumped 239
Laser, Scully — Lamb form 231
Laser, semiconductor 236 240
Laser, sub-Poissonian statistics 3
Laser, threshold 232
Lens, atomic 337
Linewidth, laser 236
Liouvillian operator 117
Markov approximation, first 95 123
Master equation 91
Master equation, gravitational wave interferometer 161 165
Master equation, optical bistability 155 246
Master equation, parametric oscillator 138
Master equation, resonance fluorescence 213
Master equation, Scully — Lamb laser 231
Master equation, two-level atom 206
Master equation, two-time correlation function 117
Maxwell's equations 8
Measurement limit, strong 313
Measurement theory, quantum 306
Micro-cavity 210
Microscope, Feynman light 315
Minimum uncertainty state 16
Minimum uncertainty state, parametric oscillator 145
Minimum uncertainty state, squeezed state 15
Mixture, classical 297
Noise spectrum 116
Normal ordering 51 54
Normal ordering, P representation 118
Number state 10 57
Observable, QND 282
Optical Bloch equations 215
Optical Bloch equations, oscillation threshold 216
Optical tap 284 294
Ornstein — Uhlenbeck process 112
Ornstein — Uhlenbeck process, Brownian motion 112
Ornstein — Uhlenbeck process, constant diffusion process 116
Ornstein — Uhlenbeck process, damped harmonic oscillator 115
P representation 58 61
P representation, Bell inequality 266
P representation, chaotic state 59
P representation, coherent state 59
P representation, complex 68
P representation, complex, coherent state 69
P representation, complex, dispersive bistability 192 195
P representation, complex, harmonic oscillator 109
P representation, complex, number state 69
P representation, complex, parametric oscillator 132 180 194
P representation, complex, squeezed state 70
P representation, generalised 68 138
P representation, generalised, bistability 155
P representation, generalised, harmonic oscillator 108
P representation, generalised, parametric oscillator 138 178
P representation, harmonic oscillator 99
P representation, normal ordering 118
P representation, positive 71 115
P representation, positive, Fokker — Planck equation 72
P representation, positive, harmonic oscillator 110
P representation, positive, optical bistability 247
P representation, positive, parametric oscillator 182
P representation, positive, twin beams 146
P representation, quadrature variance 61
Parametric amplifier, degenerate 73
Parametric amplifier, nondegenerate 77
Parametric amplifier, nondegenerate, selected state 84
Parametric amplifier, nondegenerate, thermal reduced state 83
Parametric amplifier, nondegenerate, two-mode squeezing 80
Parametric amplifier, QND 291
Parametric Down Conversion 3 73
Parametric down conversion, Bell inequality 268
Parametric oscillator (linear) 3 129 137
Parametric oscillator (linear), critical fluctuations 131
Parametric oscillator (linear), Fokker — Planck equation 132 134
Parametric oscillator (linear), linearistation 129 132 139
Parametric oscillator (linear), minimum uncertainty state 145
Parametric oscillator (linear), output correlation matrix 133
Parametric oscillator (linear), squeezing spectrum 129 142
Parametric oscillator (linear), threshold 129 131
Parametric oscillator (nonlinear) 177
Parametric oscillator (nonlinear), quadrature variance 183
Parametric oscillator (nonlinear), semiclassical solution 180
Parametric oscillator (nonlinear), threshold distribution 184
Paul trap 225
Pauli spin operators 202
Phase decay, collisionally induced 210 246
Phase diffusion, laser 235
Phase diffusion, linewidth 236
Phase diffusion, two-time correlation function 236
Phase instability 147
Phase matching 253
Phase operator, Pegg — Barnett 25
Phase operator, Susskind — Glogower 23
Photo-detection 29 39 233
Photon counting 299
Photon counting distribution 52
Photon counting, classical 46
Photon counting, classical, depletion effects 50
Photon counting, classical, ergodic hypothesis 49
Photon counting, classical, generating function 48
Photon counting, conditional 84
Photon counting, conditional, parametric amplifier 84
Photon counting, nonclassical 70
Photon counting, nonclassical, number state 71
Photon counting, nonclassical, squeezed state 71
Photon counting, quantum mechanical 51
Photon number, QND 294
Planck distribution 58
Pointer basis 308
Poissonian pumping 230
Polarization rotator 291
Projection postulate, von Neumann 84
Pump depletion 180
Q function 65
Q function, coherent state 66
Q function, harmonic oscillator 104
Q function, number state 66
Q function, squeezed state 66
q parameter 239
QND measurement 4 315 329 330
QND measurement, ideal 290
QND measurement, pointer basis 310
QND measurement, sub-Poissonian statistics 295
QND measurement, two photon transition 294
Quadrature phase measurement 44
Quadrature phase operator 16
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