| Preface |
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1 | (8) |
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7 | (2) |
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Part I Toward Strongly Correlated Systems |
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9 | (94) |
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Chapter 2 Atomic Structure |
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11 | (10) |
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2.1 Electronic levels of alkali-metal atoms |
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11 | (2) |
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13 | (1) |
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14 | (2) |
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16 | (5) |
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Chapter 3 Atom-Light Interaction |
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21 | (22) |
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3.1 Atom-light interaction Hamiltonian |
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21 | (4) |
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25 | (4) |
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3.3 Stimulated absorption and emission |
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29 | (5) |
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3.4 The optical Bloch equations |
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34 | (3) |
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3.5 Light forces on atoms |
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37 | (4) |
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41 | (2) |
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Chapter 4 Laser Cooling and Trapping |
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43 | (22) |
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44 | (3) |
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47 | (3) |
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50 | (5) |
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55 | (4) |
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59 | (3) |
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62 | (3) |
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Chapter 5 Interaction Between Atoms |
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65 | (18) |
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5.1 Interaction potential between alkali-metal atoms |
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66 | (3) |
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5.2 Two-atom scattering in free space |
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69 | (5) |
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5.3 Effective interaction |
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74 | (7) |
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81 | (2) |
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Chapter 6 Feshbach Resonance |
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83 | (20) |
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6.1 Basic physics of the Feshbach resonance |
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84 | (8) |
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6.2 Magnetic Feshbach resonance |
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92 | (5) |
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6.3 Optical Feshbach resonance |
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97 | (3) |
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100 | (3) |
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Part II Ultracold Fermi Gases |
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103 | (100) |
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Chapter 7 Background and Experimental Achievements |
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105 | (16) |
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7.1 Brief introduction to experimental achievements |
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106 | (7) |
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113 | (4) |
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117 | (1) |
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118 | (3) |
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Chapter 8 BCS-BEC Crossover |
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121 | (32) |
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121 | (2) |
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123 | (7) |
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8.3 Description of BCS-BEC crossover on the mean-field level |
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130 | (6) |
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8.4 Feshbach resonance and the two-channel model |
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136 | (7) |
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8.5 Narrow Feshbach resonance |
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143 | (2) |
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8.6 BCS-BEC crossover in a harmonic trapping potential |
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145 | (6) |
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151 | (2) |
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Chapter 9 Beyond-Mean-Field Descriptions |
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153 | (20) |
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154 | (3) |
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9.2 Path integral and saddle point expansion |
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157 | (8) |
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9.3 Extension of the NSR scheme based on the T-matrix formalism |
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165 | (5) |
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170 | (3) |
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Chapter 10 Polarized Fermi Gas |
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173 | (14) |
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175 | (5) |
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10.2 Fulde--Ferrell--Larkin--Ovchinnikov (FFLO) phase |
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180 | (2) |
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10.3 Polarized Fermi gas in a trap |
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182 | (2) |
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184 | (3) |
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Chapter 11 Synthetic Gauge Field |
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187 | (16) |
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11.1 Implementing synthetic gauge field |
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187 | (4) |
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11.2 Synthetic spin-orbit coupling |
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191 | (4) |
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11.3 Exotic pairing states under spin-orbit coupling |
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195 | (6) |
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201 | (2) |
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Part III Quantum Simulation with Cold Atoms |
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203 | |
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Chapter 12 Optical Lattice and Band Structure |
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205 | (10) |
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12.1 Construction of optical lattices |
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206 | (4) |
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210 | (3) |
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213 | (2) |
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Chapter 13 Simulation of the Bose-Hubbard Model |
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215 | (10) |
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13.1 Introduction to the Bose-Hubbard model |
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215 | (3) |
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13.2 Simulation of the Bose-Hubbard model in optical lattices |
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218 | (5) |
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223 | (2) |
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Chapter 14 Dynamical Process |
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225 | (16) |
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14.1 Quench dynamics in the Bose-Hubbard model |
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225 | (4) |
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14.2 Thermalization in an optical lattice |
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229 | (10) |
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239 | (2) |
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Chapter 15 Disordered Systems |
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241 | (12) |
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15.1 Disorder in free space |
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242 | (2) |
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15.2 Disorder in an optical lattice |
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244 | (6) |
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250 | (3) |
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Chapter 16 Simulation of Spin Systems |
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253 | |
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16.1 General phases of spin systems |
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253 | (11) |
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16.2 Simulate spin systems in an optical lattice |
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264 | (10) |
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274 | |