1 Semiclassical Atom-Light Interaction |
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1 | (28) |
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1.1 Multipole Expansion: A Brief Summary |
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1 | (4) |
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5 | (6) |
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11 | (10) |
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11 | (4) |
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1.3.2 Optical Bloch Equations |
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15 | (2) |
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1.3.3 Relaxation Mechanisms |
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17 | (2) |
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1.3.4 Density Matrix Equations |
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19 | (2) |
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21 | (5) |
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26 | (3) |
2 Electromagnetic Field Quantization |
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29 | (46) |
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2.1 Quantum Harmonic Oscillator |
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29 | (5) |
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2.2 Electromagnetic Field Quantization |
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34 | (6) |
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34 | (3) |
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37 | (3) |
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40 | (17) |
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2.3.1 Single-Mode Field in Thermal Equilibrium |
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40 | (4) |
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44 | (4) |
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48 | (9) |
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2.4 Photodetection and Correlation Functions |
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57 | (6) |
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2.4.1 Detection by Absorption |
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57 | (3) |
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2.4.2 Balanced Homodyne Detection |
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60 | (3) |
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2.5 Quasiprobability Distributions |
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63 | (7) |
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70 | (3) |
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73 | (2) |
3 The Jaynes-Cummings Model |
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75 | (22) |
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3.1 The Linchpin of Quantum Optics |
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75 | (5) |
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3.2 Quantum Rabi Oscillations |
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80 | (1) |
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3.3 Collapse and Revivals |
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81 | (2) |
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3.4 Single-Mode Spontaneous Emission |
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83 | (2) |
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3.5 Repeated Field Measurements |
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85 | (2) |
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3.6 The Quantum Rabi Model |
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87 | (6) |
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93 | (2) |
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95 | (2) |
4 Composite Systems and Entanglement |
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97 | (26) |
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98 | (1) |
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99 | (7) |
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4.2.1 Schmidt Decomposition and Maximum Entanglement |
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101 | (2) |
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4.2.2 Monogamy of Entanglement |
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103 | (3) |
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106 | (7) |
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4.4 Quantum Key Distribution |
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113 | (5) |
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113 | (2) |
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115 | (1) |
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4.4.3 Quantum Teleportation |
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116 | (2) |
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118 | (2) |
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120 | (3) |
5 Coupling to Reservoirs |
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123 | (40) |
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5.1 Spontaneous Emission in Free Space |
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124 | (7) |
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5.1.1 Free Space Density of Modes |
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125 | (1) |
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5.1.2 Weisskopf-Wigner Theory of Spontaneous Emission |
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126 | (3) |
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5.1.3 Superradiance and Subradiance |
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129 | (2) |
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131 | (13) |
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5.2.1 Damped Harmonic Oscillator |
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135 | (6) |
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141 | (1) |
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5.2.3 Fokker-Planck Equation |
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141 | (3) |
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144 | (7) |
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5.4 Monte Carlo Wave Functions |
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151 | (5) |
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5.4.1 Quantum Trajectories |
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152 | (4) |
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5.5 Input-Output Formalism |
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156 | (4) |
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160 | (2) |
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162 | (1) |
6 Quantum Measurements |
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163 | (24) |
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6.1 The von Neumann Postulate |
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164 | (1) |
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6.2 Measurement Back Action |
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165 | (7) |
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6.2.1 The Standard Quantum Limit |
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166 | (3) |
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6.2.2 Quantum Non-demolition Measurements |
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169 | (3) |
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6.3 Continuous Measurements |
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172 | (8) |
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6.3.1 Continuous Projective Measurements |
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172 | (2) |
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6.3.2 Positive Operator-Valued Measures |
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174 | (1) |
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6.3.3 Weak Continuous Measurements |
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175 | (2) |
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6.3.4 Continuous Field Measurements |
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177 | (3) |
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180 | (3) |
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183 | (2) |
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185 | (2) |
7 Tailoring the Environment-Cavity QED |
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187 | (42) |
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7.1 Enhanced and Inhibited Spontaneous Emission |
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188 | (7) |
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7.1.1 Master Equation for the Atom-Cavity System |
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188 | (3) |
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7.1.2 Weak Coupling Regime |
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191 | (3) |
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7.1.3 Strong Coupling Regime |
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194 | (1) |
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195 | (7) |
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202 | (6) |
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208 | (13) |
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7.4.1 LC Circuit Quantization |
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208 | (5) |
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7.4.2 Superconducting Qubits |
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213 | (6) |
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7.4.3 Field-Qubit Coupling |
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219 | (2) |
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221 | (3) |
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224 | (3) |
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227 | (2) |
8 Mechanical Effects of Light |
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229 | (32) |
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8.1 Semiclassical Atom-Field Interaction Revisited |
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230 | (1) |
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8.2 Gradient and Radiation Pressure Forces |
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231 | (6) |
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237 | (3) |
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240 | (8) |
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242 | (2) |
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244 | (2) |
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8.4.3 Stern-Gerlach Regime |
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246 | (2) |
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248 | (1) |
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249 | (6) |
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255 | (2) |
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257 | (4) |
9 Laser Cooling |
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261 | (28) |
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261 | (4) |
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265 | (6) |
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271 | (3) |
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274 | (5) |
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279 | (4) |
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283 | (2) |
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285 | (1) |
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286 | (3) |
10 Bose-Einstein Condensation |
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289 | (36) |
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290 | (5) |
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295 | (4) |
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10.3 Schrodinger Field Quantization |
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299 | (13) |
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10.3.1 The Hartree Approximation |
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306 | (3) |
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309 | (3) |
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10.4 Ultracold Atoms on Optical Lattices |
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312 | (8) |
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10.4.1 The Bose-Hubbard Model |
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314 | (6) |
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320 | (2) |
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322 | (3) |
11 Quantum Optomechanics |
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325 | (40) |
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327 | (8) |
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11.1.1 Static Phenomena: Optical Spring Effect |
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331 | (1) |
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11.1.2 Effects of Retardation: Cold Damping |
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332 | (3) |
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335 | (5) |
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11.3 Beyond the Ground State |
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340 | (9) |
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11.3.1 Linearized Coupling |
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341 | (4) |
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11.3.2 Quadratic Coupling |
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345 | (1) |
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11.3.3 Polariton Spectrum |
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346 | (3) |
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11.4 Standard Quantum Limit of Optomechanical Detection |
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349 | (6) |
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355 | (4) |
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11.6 Functionalization and Hybrid Systems |
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359 | (1) |
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360 | (2) |
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362 | (3) |
12 Outlook |
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365 | (24) |
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367 | (12) |
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12.1.1 Gravitational Wave Detection |
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368 | (7) |
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12.1.2 Tests of the Equivalence Principle |
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375 | (2) |
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12.1.3 Testing the Inverse Square Law |
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377 | (1) |
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12.1.4 Gravitationally Induced Decoherence |
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377 | (2) |
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379 | (6) |
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12.2.1 Coupling to Photons |
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381 | (1) |
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12.2.2 Atom-Interferometric Searches |
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382 | (1) |
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12.2.3 Cavity Optomechanical Searches |
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382 | (3) |
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385 | (4) |
Index |
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389 | |