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Авторизация |
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Поиск по указателям |
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Gardiner C.W. — Quantum Noise |
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Предметный указатель |
Quantum Brownian motion, Wigner function treatment of master equation 194
Quantum Brownian motion, zero temperature 63
Quantum characteristic function 121
Quantum characteristic function, coherent state 121
Quantum characteristic function, Gaussian density operator 129
Quantum characteristic function, number state 121
Quantum characteristic function, Positive P-representation 197 199
Quantum characteristic function, thermal state 121
Quantum classical correspondence 183
Quantum coherence, damping of 85
Quantum coherence, macroscopic 183
Quantum electrodynamics 43
Quantum Gaussian distribution, and thermal light 254
Quantum Gaussian state, squeezed 326
Quantum Ito calculus 166
Quantum Ito integral, connection with quantum Stratonovich integral 167
Quantum Ito stochastic integration 165
Quantum Langevin equation 11 13 42
Quantum Langevin equation with a driving field 89
Quantum Langevin equation with fermionic input 270
Quantum Langevin equation, alternative forms 161
Quantum Langevin equation, Brownian particle 62
Quantum Langevin equation, defined 47 160
Quantum Langevin equation, derived 46 159
Quantum Langevin equation, first Markov approximation 49 55
Quantum Langevin equation, history 140
Quantum Langevin equation, laser 294
Quantum Langevin equation, particle moving a potential 62
Quantum Langevin equation, time reversal of 56
Quantum Markov process 10 140
Quantum Markov process, general requirement to preserve positivity 157
Quantum Markov process, multitime structure 153
Quantum Markov process, semigroup property 153
Quantum measurement, and destruction of coherence 228
Quantum noise 21
Quantum noise theory, consistency requirements for 10
Quantum noise, heterodyne measurement of spectrum of 6
Quantum noise, pure, in degenerate parametric amplifier 192
Quantum noise, spectrum of 4
Quantum non-demolition measurement 4
Quantum optical master equation and anharmonicity 89
Quantum optical master equation and driving fields 88
Quantum optical master equation with arbitrary bath 149
Quantum optical master equation with rotating wave approximation 88
Quantum optical master equation without rotating wave approximation 87
Quantum optical master equation, derivation 141 147
Quantum optical master equation, derived from the adjoint equation 86
Quantum optical master equation, stationary solution is the Boltzmann distribution 89
Quantum regression theorem 157
Quantum statistical mechanics 35
Quantum statistics 21
Quantum stochastic differential equation 158
Quantum stochastic differential equation with negative temperature bath 220
Quantum stochastic differential equation with positive and negative temperature 220
Quantum stochastic differential equation, amplifier 216
Quantum stochastic differential equation, appropriateness of Ito form for asymptotic expansions 296
Quantum stochastic differential equation, comparison of Ito and Stratonovich forms 169
Quantum stochastic differential equation, connection with the master equation 171
Quantum stochastic differential equation, degenerate parametric amplifier 221
Quantum stochastic differential equation, equivalence to master equation 174
Quantum stochastic differential equation, formulation 164
Quantum stochastic differential equation, idealised Hamiltonian 158
Quantum stochastic differential equation, Ito 166
Quantum stochastic differential equation, noise sources of several frequencies 170
Quantum stochastic differential equation, photon counting 248
Quantum stochastic differential equation, rotating wave approximation 158
Quantum stochastic differential equation, several inputs and outputs 163
Quantum stochastic differential equation, small noise expansions 169
Quantum stochastic differential equation, Stratonovich 168
Quantum stochastic differential equation, two level atom 284
Quantum stochastic process 13
Quantum Stratonovich stochastic integration 167
Quantum theory of measurement 21 24
Quantum white noise 12 16
Quantum white noise as a simplification 159
Quantum white noise, fermionic 271
Quantum Wiener process 164
Quantum, spectrum of 11
Quasiclassical Langevin equation, and Wigner function 136
R-representation 196
Rabi frequency 290
Radiation damping 43 51 55
Random electric field 14
Reduced density operator 16 40
Reid, M.D. 317 350
Renormalisation 43 52 58 91
Repeated random phase assumption 9
Resistance, electrical 45
Resistance, temperature dependent 45
Resonance fluorescence, from a two level atom 288
Resonance fluorescence, spectrum 291
Rhyzhik, I.M. 348
Risken, H. 315 350
Ritsch, H. 75 339 342 348 350
Roderigues' formula for Hermite polynomials 104
Rosenberger, A.T. 350
Rotating wave approximation 44 69
Rotating wave approximation, quantum optical master equation 149
Rotating wave approximation, two level atom master equation 283
Sandberg, V.D. 347 350
Savage, C.M. 85 348
Schenzle, A. 349
Schmidt, A. 137 347 348
Schramm, P. 348
Schrodinger equation 11 72
Schrodinger picture 102
SDE see "Stochastic differential equation" 184
Semigroup equations, in photon counting 246
Semigroup property, of quantum Markov process 153
Senitzky, I.R. 349
Sentizky, I.R. 140
Sequences of measurements 33
Shapiro, J.H. 369 350
signal 43
Signal to noise ratio, homodyne and heterodyne detection 264
Signal to noise ratio, of an amplifier 218
Small noise expansions, in QSDEs 169
Smith, A.M. 98 205 208 348 349
Spectral line 1
Spectral linewidth 1
Spectrum of quantum noise 4 11
Spectrum of quantum noise, heterodyne measurement of 6
Spectrum, black body radiation 5
| Spectrum, fluorescent light from a two level atom 291
Spectrum, Planck 4 5
Spectrum, resonance fluorescence 291
Spohn, H. 349
Spontaneous emission 19
Spontaneous process 19
Squeezed light on a single atom 337
Squeezed light on a single atom, numerical methods 342
Squeezed light, non-white, correlation function of 340
Squeezed light, simulation of as an input 339
Squeezed state, ideal 326
Squeezed state, ideal, complex P-function for 328
Squeezed state, ideal, defined 327
Squeezed state, ideal, means and variances 327
Squeezed states, of harmonic oscillator 326
Squeezed white noise 333
Squeezed white noise in non-rotating frame 335
Squeezed white noise, characteristic frequency 336
Squeezed white noise, definition 334
Squeezed white noise, QSDEs with 334
Squeezed white noise, quadrature phases 336
Squeezed white noise, relation between Ito and Stratonovich integral 335
Squeezing 326
Squeezing in degenerate parametric amplifier 223
Squid 91
Srinivas, M.D. 245 350
Standard quantum limit 326
Stark shift 87 150
Stark shift in two level atom master equation 283
Statistical mechanics, quantum 35
Stegun, I. 348
Steyn-Ross, M.L. 348 349
Stimulated absorption 19
Stimulated emission 19
Stimulated process 19
Stochastic differential equation, classical, in P-representation 184
Stochastic differential equation, duality with master equation 140
Stochastic electrodynamics 138
Stochastic integration, quantum Ito 165
Stochastic integration, quantum Stratonovich 167
Stochastic Liouville equation 72
Stochastic simulation, of macroscopic quantum tunnelling 96
Stratonovich integral 17
Stratonovich integral, relation to Ito with squeezed white noise 335
Sudarshan, E.C.G. 122 348
Superconductivity 6
Symanzik, K. 348
system 42
System and heat bath 39 41
System, initial independence of heat bath 57
Temperature 37
Thermal correlation time 60
Thermal statistics, and correlation function of noise operators 58
Thermodynamic equilibrium 36
Thome, K.S. 347 350
Time correlation function, in P-representation 185 185
Time ordered correlation function 35
Time reversal 56
Time-ordered correlation function, general formulae in quantum Markov processes 155
Time-ordered product 152
Toda, M. 348
Tolman, R.C. 36 347
Transmission line model of heat bath 55
Transverse delta function 237
Tunnelling and dissipation 91
Two level atom 14 30 99 279
Two level atom as amplifier bath 188
Two level atom in electromagnetic field 281
Two level atom with a coherent driving field 288
Two level atom, damped, and quantum Langevin equation 162
Two level atom, heat bath 150
Two level atom, intensity correlation with a coherent driving field 291
Two level atom, output field amplitude correlation function 286
Two level atom, output field intensity correlation function 287
Two level atom, QSDE for 284
Two level atom, QSDE in a coherent driving field 288
Two level atom, quantum Langevin equation for 69
Two level atom, resonance fluorescence 288
Two level system 92
Two sided operator 154
Uncertainty principle 1
Vacuum noise 43
van Harlingen, D. 347 348
Van Kampen, N.G. 56 79 348 349 350
Visibility of optical fringe 245
von Neumann's equation 24
von Neumann, J. 14 24 221 347 349
Walker, L.R. 347 349
Walls, D.F. 85 228 288 317 348 349 350
Watson, G.N. 348
Wave-particle duality 9
Weak coupling limit, in derivation of master equation 146
Weak coupling, of system and reservoir variables 142—143
Weidlich, W. 315 350
Weisskopf, V.I. 1 347
Welton, T.A. 5 347
White noise, quantum 12 16
Wien's displacement law 8
Wiener process 17
Wigner function 117 125
Wigner function, coherent state 127
Wigner function, existence 125
Wigner function, Gaussian density operator 130
Wigner function, joint probability density in x and p 127
Wigner function, number state 128
Wigner function, original formulation by Wigner 126
Wigner function, quasiclassical Langevin equation 136
Wigner function, symmetrically ordered moments 125
Wigner function, thermal state 128
Wigner representation 99
Wigner, E.P. 1 99 125 347 348
WKB method 105
Wolinsky, M. 208 349
Wu, H. 349 350
Wu, L.-A. 349 350
Yuen, H.P. 269 350
Yurke, B. 57 348 349
Zero point fluctuations 5 63
Zimmerman, M. 347 350
Zimmerman, W. 348
Zoller, P. 348 350
Zurek, W.H. 228 349
Zwerger, W. 348
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