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Gardiner C.W. — Quantum Noise
Gardiner C.W. — Quantum Noise

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Название: Quantum Noise

Автор: Gardiner C.W.

Язык: en

Рубрика: Физика/Электромагнетизм/Оптика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1991

Количество страниц: 346

Добавлена в каталог: 05.09.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abramowitz, M.      348
Absorber, non-linear      201
Absorption of light      7
Absorption, as a result of detection      250
Added noise A($\omega$)      217
Added noise A($\omega$), absence of in degenerate parametric amplifier      223
Adiabatic elimination, in laser theory      294 302 324
Adjoint equation      71
Adjoint equation, commutative noise for      74
Adjoint equation, computation of correlation functions      75
Adjoint equation, defined      74 76
Adjoint equation, derivation of      72
Adjoint equation, eigenfunction methods      342
Adjoint equation, equivalence to Langevin equation      74
Adjoint equation, general form      76
Adjoint equation, numerical methods      92 342
Adjoint equation, simulation methods      342
Adjoint equation, using squeezed light      339
Amplifier, degenerate parametric, P-function treatment      190
Amplifier, degenerate parametric, Q-function treatment      193
Amplifier, degenerate parametric, QSDE for      221
Amplifier, degenerate parametric, Wigner function treatment      194
Amplifier, harmonic oscillator      188
Amplifier, noise      188
Amplifier, noise temperature      218
Amplifier, phase conjugating      221
Amplifier, QSDE for      216
Amplifier, signal to noise ratio      218
Amplifiers      213
Amplifiers, input-output theory      213
Amplifiers, treated by P-, Q- and Wigner representations      188
Amplitude correlation function for output field from a two level atom      286
Anharmonic oscillator      7
Anharmonic oscillator and dispersive optical bistability      314
Anharmonicity and quantum optical master equation      89
Antibunched light      256
Antibunching      256
Antibunching in output light from two level atom      288
Antinormally ordered products and Q-function      117
Asquini, M.L.      350
Atom, interaction of light with      279
Atom, interaction with electromagnetic field      43
Atom, two level      14 279 279
Atom, two level in EM field, master equation      282
Atom, two level, in EM field      281
Atomic decay      1 61
Attenuators, input-output theory      213
Back action evading measurement      4
Baker — Hausdorff formula      108
Baker — Hausdorff formula, derivation      138
Baker — Hausdorff theorem      121 125
Balanced homodyne and heterodyne detection      265
Barchielli, A.      179 349
Bargmann states      110
Bayes theorem, quantum      27
Beams of light      239
Benguria, R.      10 11 90 347
Black body radiation      5
Black body radiation, measurement of spectrum by absorption      5
Boltzmann distribution      10
Boltzmann distribution as stationary solution of the quantum optical master equation      89
Bonifacio, R.      350
Born, M.      1 347
Bose — Einstein distribution      38
Boundary condition at end of transmission line      55
Boundary condition between "in" and "out" fields      162
Brambilla, M.      350
Brownian motion, quantum      11
Brownian particle      42 58
Brownian particle, quantum Langevin equation for      62
Bunched light      256
Caldeira, A.O.      91 348
Callen, H.B.      5 347
Canonical commutation relations      11 43 54
Canonical momentum      51
Carmichael, H.J.      208 288 349 350
Carnot cycle      39
Causality      55
Causality and commutators for inputs and outputs      163
Caves, C.M.      24 27 57 326 347 348 350
Chakravarti, S.      91 348
Chapman — Kolmogorov equation      156
chemical potential      37 39
Circuit, LRC      6
Clarke, J.      347 348
Classical light field      19
Classical limit, of noise operators      59
Co-operativity parameter, for the laser      297
Coherence, of light fields      242
Coherent signal, homodyne and heterodyne detection      264
Coherent state      99
Coherent state, classical limit      105
Coherent state, driven oscillator wavefunction      113
Coherent state, eigenstate of destruction operator a      107
Coherent state, electromagnetic field, correlation function      244
Coherent state, expansion of an operator in terms of      111
Coherent state, expansion of arbitrary states in terms of      110
Coherent state, minimum uncertainty state      106
Coherent state, Poissonian number state distribution of      112
Coherent state, properties      108
Coherent state, quasi-classical state      106
Coherent state, solution of the harmonic oscillator      107
Coherent state, wavefunction for      113
Coincidence probability, in photon counting      251
Coincidence probability, in terms of QSDE solutions      253
Coincidence probability, relation to elementary probability      252
Collett, M.J.      57 158 326 348 349 350
Commutation relations for noise sources      49
Commutation relations, canonical      11 43 54
Commutation relations, equal times      45
Commutation relations, preservation of      68 68
Completely positive map      32
Complex impedance      67
Complex P-function, for an ideal squeezed state      328
Consistency requirements for quantum noise theory      10
Consistency with quantum mechanics      11
Correlation function      24 34
Correlation function of system, inputs and outputs      175
Correlation function, adjoint equation      75
Correlation function, electromagnetic field in coherent state      244
Correlation function, light fields      242
Correlation function, noise operators      59
Correlation function, normalised      244
Correlation function, time ordered      35
Correlation function, time ordered, in P-representation      185
Correlation time, thermal      60
Coulomb gauge      233
Coupling constants, to harmonic oscillator heat bath      48
Creation operator      12
Creation operator $a^{+}$, defined      102
Cumulant expansion      93
Cumulant expansion and quasiclassical Langevin equation      137
Cumulant expansion, higher order terms      95
Cumulant expansion, range of validity      80
Cumulant expansion, van Kampen's      78
Currie, D.G.      348
Damping, and locality      52
Damping, radiation      43 51 55
Davies, E.B.      245 350
Decay, atomic      1
Degenerate parametric amplifier, and squeezing      328
Degenerate parametric amplifier, correlation functions for the output field      333
Degenerate parametric amplifier, internal mode properties      330
Degenerate parametric amplifier, internal mode quadrature phases      331
Degenerate parametric amplifier, maximum squeezing      332
Degenerate parametric amplifier, normally ordered variances      331
Degenerate parametric amplifier, output field      331
Degenerate parametric amplifier, P-function treatment      190
Degenerate parametric amplifier, Q-function treatment      193
Degenerate parametric amplifier, QSDE for      221
Degenerate parametric amplifier, squeezed white noise limit of output field      333
Degenerate parametric amplifier, squeezing in      223
Degenerate parametric amplifier, Wigner function treatment      194
Delta function, transverse      237
Denker, J.S.      57 348
Density operator      14 21
Density operator in terms of Q-function      119
Density operator, and measurement      31
Density operator, canonical      37
Density operator, damping of off diagonal elements      183
Density operator, factorisable      58
Density operator, Gaussian      128
Density operator, grand canonical      37
Density operator, initial factorisation of      142
Density operator, properties      22
Density operator, reduced      16 40 142
Destruction operator      12
Destruction operator a, defined      102
Detection, generalised      32
Devoret, M.H.      348
Diagonalisation of density operator, by coupling to noise      226
Diffusion matrix, non-positive-definite      195
Dirac, P.A.M.      7 9 347
Dissipation      41
Dissipation and tunnelling      91
Doerfle, M.      349
Dorsey, A.T.      348
Double well potential      90
Dreaver, R.W.P.      347 350
Driven harmonic oscillator, P-function method for      134
Driving field and quantum Langevin equation      89
Driving field and quantum optical master equation      88
Drummond, P.D.      195 208 212 242 317 349 350
Duality, wave-particle      9
Effect      26
Einstein, A.      7 9 11 19 232 347 350
Electromagnetic field, optical      237
Electromagnetic field, quantisation      232 235
Electromagnetic field, quantisation in an infinite volume      236
Electron number operator      269
Elementary probability in photon counting      251
Elementary probability in photon counting, in terms of QSDE solutions      254
Elementary probability in photon counting, relation to coincidence probability      252
Emission of light      7
Energy level      7
entropy      35 36
Entropy, maximisation      36
Equations of motion, and operator correspondences      132
Equilibrium, thermodynamic      36
Esteve, D.      348
Fermi — Dirac distribution      39
Fermi's "golden rule"      9
Fermi, E.      9 347
Field interpretation of noise inputs and outputs      51
Fields, input and output      53
First Markov approximation      49 160
First Markov approximation and commutation relations for noise sources      50
Fisher, M.P.A.      348
Fluctuations      41
Fokker — Planck equation, and classical Langevin equation      72
Ford, G.W.      5 11 56 347 348
FPE      see "Fokker — Planck equation"
Fringe, optical      245
Gain      214
Gardiner, C.W.      75 98 158 195 205 208 326 339 341 347 348 349
Garg, A.      348
Gauge transformation      233
Gaussian density operator      128
Gaussian density operator, definition      128
Gaussian density operator, higher moments for      131
Gaussian density operator, P-, Q- and Wigner function for      130
Gaussian density operator, quantum characteristic function for      129
Gaussian variable, classical, higher moments for      132
General kinds of measurement      29
Generalised P-representation      see "P-representation generalised"
Ghielmetti, F.      269 350
Glauber, R.J.      99 110 122 196 232 240 348 349 349
Golden Rule      9
Gordon, J.P.      13 294 347 349
Grabert, H.      348
Gradshteyn, I.S.      348
Graham, R.      212 349
Haake, F.      350
Haken, H.      13 140 294 315 347 348 349
Hall, J.L.      349 350
Hanbury-Brown Twiss effect      254
harmonic oscillator      38 100
Harmonic oscillator heat bath      44
Harmonic oscillator, cannot be treated as two level system      279
Harmonic oscillator, damped      6
Harmonic oscillator, damped, and quantum Langevin equation      162
Harmonic oscillator, damped, example of destruction of quantum coherence      227
Harmonic oscillator, damped, master equation treatment      180
Harmonic oscillator, energy eigenvalues      102
Harmonic oscillator, Heisenberg picture      104
Harmonic oscillator, mean energy of      68
Harmonic oscillator, number states      102
Harmonic oscillator, P-representation of      183—187
Harmonic oscillator, phase damped      182
Harmonic oscillator, quantum Langevin equation for      66
Harmonic oscillator, squeezed states of      326
Harmonic oscillator, wavefunctions in momentum space      104
Harmonic oscillator, wavefunctions in position space      102
Hartle, J.B.      347
Hashitsume, N.      348
Heat bath      39 41 42
Heat bath of Harmonic oscillators      44
Heat bath of two level atoms      150
Heat bath, fermionic      270
Heat bath, field interpretation of      43 51
Heat bath, initial independence of system      57
Heat bath, inverted      214
Heat bath, negative temperature      215 220
Heisenberg picture      72 102
Heisenberg's uncertainty principle      1 326
Hermite polynomial, Roderigues' formula      104
Heterodyne detection      261
Heterodyne detection with imperfect photodetectors      265
Heterodyne detection, balanced      265
Heterodyne detection, coherent signal      264
Heterodyne detection, local oscillator noise      264
Heterodyne detection, mean detected signal      263
Heterodyne detection, variance of detected signal      263
Heterodyne measurement of spectrum of quantum noise      6
Homodyne detection      261
Homodyne detection with imperfect photodetectors      265
Homodyne detection, balanced      265
Homodyne detection, coherent signal      264
Homodyne detection, local oscillator noise      264
Homodyne detection, mean detected signal      263
Homodyne detection, variance of detected signal      263
Imprecise measurement      25-26
Ingold, G.L.      348
Input      43
Input and driving field      88
Input field      53
Input, noise      55
Input-output methods, using fermions      270
Input-output theory of amplifiers and attenuators      213
Input-output theory of photodetection      267
Inputs, and quantum stochastic differential equations      158
Intensity correlation      254
Intensity correlation, antibunched light      255
Intensity correlation, laser light      255 256
Intensity correlation, thermal light      254 255
Interaction picture      15
Interaction picture and the cumulant expansion      79
Interference fringe      86
Inverted oscillator heat bath      214
Ito calculus, quantum      166
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