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1 | (30) |
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1.1 The hydrogen spectrum |
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1 | (3) |
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1.2 Balmer-α: from Bohr to QED |
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4 | (7) |
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4 | (2) |
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1.2.2 Doppler effect and saturation spectroscopy |
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6 | (4) |
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10 | (1) |
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1.3 1s - 2s: a quest for precision |
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11 | (6) |
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1.3.1 Two-photon spectroscopy |
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13 | (4) |
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1.4 Optical frequency measurements |
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17 | (9) |
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18 | (2) |
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20 | (5) |
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1.4.3 The Rydberg constant |
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25 | (1) |
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1.5 New frontiers of hydrogen |
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26 | (5) |
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1.5.1 Spectroscopy of exotic hydrogen |
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26 | (3) |
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1.5.2 Spectroscopy of antimatter |
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29 | (2) |
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2 Alkali atoms and laser cooling |
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31 | (41) |
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31 | (2) |
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33 | (7) |
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2.2.1 Microwave atomic clocks |
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34 | (1) |
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2.2.2 Ramsey spectroscopy |
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35 | (3) |
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38 | (2) |
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40 | (16) |
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41 | (2) |
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2.3.2 Atomic beam deceleration |
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43 | (2) |
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45 | (3) |
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2.3.4 Sub-Doppler cooling |
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48 | (3) |
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2.3.5 Magneto-optical traps |
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51 | (3) |
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2.3.6 Laser cooling in multi-level atoms |
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54 | (2) |
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2.4 Laser-cooled atomic clocks |
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56 | (5) |
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2.4.1 Improving atomic fountain clocks |
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59 | (2) |
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61 | (11) |
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2.5.1 Gravity measurements |
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63 | (6) |
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2.5.2 Interferometers for inertial forces |
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69 | (3) |
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3 Bose-Einstein condensation |
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72 | (52) |
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3.1 Experimental techniques |
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72 | (13) |
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74 | (3) |
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3.1.2 Evaporative cooling |
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77 | (2) |
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3.1.3 Sympathetic cooling |
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79 | (1) |
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3.1.4 Atom-atom interactions and Feshbach resonances |
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80 | (3) |
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3.1.5 Imaging ultracold atoms |
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83 | (2) |
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3.2 Bose-Einstein condensates |
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85 | (23) |
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88 | (2) |
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90 | (4) |
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94 | (3) |
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97 | (1) |
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3.2.5 BEC for precision measurements |
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98 | (4) |
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3.2.6 Interferometry with BECs |
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102 | (6) |
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108 | (5) |
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3.3.1 Fermionic superfluidity |
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109 | (4) |
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113 | (3) |
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113 | (2) |
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115 | (1) |
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116 | (1) |
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116 | (8) |
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117 | (3) |
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3.5.2 Quantum gases with dipolar interaction |
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120 | (2) |
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3.5.3 Tests of fundamental physics |
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122 | (2) |
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124 | (31) |
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124 | (5) |
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4.1.1 Helium laser spectroscopy |
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126 | (3) |
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4.2 Helium fine structure |
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129 | (4) |
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4.2.1 Microwave measurements |
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130 | (1) |
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4.2.2 Optical measurements |
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131 | (2) |
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4.3 Quantum degenerate metastable helium |
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133 | (5) |
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4.3.1 Detecting atom-atom correlations |
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134 | (4) |
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4.4 More on helium spectroscopy |
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138 | (5) |
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4.4.1 Helium nuclear charge radius |
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138 | (4) |
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4.4.2 Antiprotonic helium |
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142 | (1) |
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4.5 The fine structure constant α |
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143 | (12) |
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4.5.1 Electron gyromagnetic anomaly |
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144 | (4) |
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148 | (5) |
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4.5.3 Quantum Hall effect |
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153 | (1) |
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4.5.4 Helium fine structure and three-body QED |
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153 | (2) |
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5 Alkaline-earth atoms and ions |
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155 | (39) |
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155 | (3) |
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5.1.1 Laser cooling of alkaline-earth atoms |
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157 | (1) |
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158 | (10) |
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5.2.1 Optical dipole force |
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158 | (5) |
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5.2.2 Applications of optical trapping |
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163 | (5) |
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168 | (11) |
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5.3.1 Neutral atoms lattice clocks |
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170 | (7) |
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177 | (2) |
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179 | (5) |
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179 | (3) |
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182 | (2) |
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184 | (10) |
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5.5.1 General relativity tests |
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188 | (2) |
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5.5.2 Stability of fundamental constants |
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190 | (4) |
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6 Optical lattices and precise measurements |
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194 | (30) |
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6.1 Quantum transport in periodic potentials |
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194 | (12) |
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6.1.1 Bloch theorem and energy bands |
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194 | (5) |
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6.1.2 Dynamics of a Bloch wavepacket |
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199 | (1) |
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200 | (3) |
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6.1.4 Josephson picture of the tight-binding limit |
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203 | (3) |
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206 | (1) |
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6.3 Experiments with cold atoms |
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207 | (7) |
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6.3.1 Observation of Bloch oscillations |
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209 | (1) |
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6.3.2 Measurement of h/m with optical lattices |
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210 | (2) |
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6.3.3 Large-area atom interferometers |
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212 | (2) |
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6.4 Experiments with quantum gases |
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214 | (10) |
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6.4.1 Dynamics of a BEC in a periodic potential |
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215 | (3) |
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6.4.2 Bloch oscillations with quantum gases |
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218 | (4) |
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6.4.3 High spatial resolution force sensors |
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222 | (2) |
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7 Optical lattices and quantum simulation |
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224 | (26) |
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224 | (11) |
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225 | (3) |
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7.1.2 Superfluid-Mott quantum phase transition |
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228 | (4) |
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7.1.3 Probing Mott insulators |
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232 | (2) |
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7.1.4 Fermionic Mott insulator |
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234 | (1) |
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7.2 Anderson localization |
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235 | (5) |
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7.2.1 Disordered potentials for ultracold atoms |
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237 | (1) |
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7.2.2 Anderson localization of noninteracting BECs |
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238 | (2) |
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7.3 New frontiers of quantum simulation |
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240 | (10) |
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7.3.1 Single-site detection |
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240 | (1) |
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7.3.2 Synthetic vector potentials |
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241 | (3) |
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7.3.3 Quantum magnetism with atoms and ions |
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244 | (4) |
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7.3.4 Simulation of relativistic quantum mechanics |
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248 | (2) |
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Appendix A Atom-light interaction |
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250 | (18) |
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A.1 Interaction with a coherent field |
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250 | (5) |
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A.1.1 Interaction Hamiltonian |
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250 | (2) |
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A.1.2 Rotating wave approximation |
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252 | (1) |
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253 | (2) |
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255 | (3) |
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A.3 Spectroscopic observables |
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258 | (6) |
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A.3.1 Absorption and fluorescence |
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258 | (3) |
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A.3.2 Atomic polarizability |
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261 | (3) |
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264 | (4) |
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A.4.1 Electric dipole transitions |
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264 | (1) |
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A.4.2 Magnetic dipole and electric quadrupole transitions |
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265 | (3) |
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268 | (11) |
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268 | (3) |
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271 | (3) |
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274 | (5) |
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Appendix C Bose-Einstein condensation |
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279 | (7) |
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C.1 Noninteracting Bose gas |
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279 | (2) |
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C.2 Effect of interactions |
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281 | (5) |
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283 | (3) |
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Appendix D Constants and units |
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286 | (2) |
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D.1 Fundamental constants |
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286 | (1) |
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D.2 Units and conversions |
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287 | (1) |
References |
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288 | (39) |
Index |
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327 | |