Circuit Quantum Electrodynamics - Yale School of Engineering ...

More documents

Recommendations

Info

CONTENTS 7 D Recipes 234
List of Figures 1.1 Relaxation and dephasing of qubits leads to decoherence . . . . . . . . . . . . . . . 21 1.2 Cavity QED setup with alkali atoms at optical frequencies . . . . . . . . . . . . . . . 24 1.3 Cavity QED setup with Rydberg atoms at microwave frequencies . . . . . . . . . . . 24 1.4 Cavity QED setup with quantum dots in semiconductors . . . . . . . . . . . . . . . . 25 1.5 Gallery of superconducting qubits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 1.6 Cooper pair box as tunable atom . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 1.7 Cavity QED setup with superconducting circuits . . . . . . . . . . . . . . . . . . . . 30 1.8 Circuit QED sample . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.1 Illustration of atomic cavity QED system . . . . . . . . . . . . . . . . . . . . . . . . 35 2.2 Energy level diagrams of Jaynes-Cummings Hamiltonian . . . . . . . . . . . . . . . . 36 2.3 Exact calculation of vacuum Rabi avoided crossing and indirect decay rates . . . . . 38 2.4 A phase diagram for cavity QED . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42 2.5 Spectra of cavity and atom in strong dispersive limit . . . . . . . . . . . . . . . . . . 43 3.1 LCR oscillator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 3.2 Transmission line as series of LC oscillator . . . . . . . . . . . . . . . . . . . . . . . . 48 3.3 Impedance of transmission line resonator . . . . . . . . . . . . . . . . . . . . . . . . . 50 3.4 Capacitive coupling to an LCR resonator . . . . . . . . . . . . . . . . . . . . . . . . 51 3.5 Transmission of asymmetric cavity . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 3.6 Coplanar waveguide cavity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 54 3.7 Dependence of characteristic impedance, Z0, on the CPW geometry. . . . . . . . . . 55 3.8 Dependence of kinetic inductance prefactor on geometry. . . . . . . . . . . . . . . . . 57 3.9 Dependence of kinetic inductance on penetration depth and center-pin width. . . . . 57 8
Page 1 and 2: Abstract Circuit Quantum Electrodyn
Page 3 and 4: c○2007 by David Schuster. All rig
Page 5 and 6: friendship. All of my friends from
Page 7 and 8: CONTENTS 4 3.2.3 Split CPB . . . .
Page 9: CONTENTS 6 8.2.1 AC Stark Effect .
Page 13 and 14: LIST OF FIGURES 10 5.3 Resist Profi
Page 15 and 16: LIST OF FIGURES 12 B.1 Radiative de
Page 17 and 18: List of Symbols and Abbreviations
Page 19 and 20: List of Symbols and Abbreviations 1
Page 21 and 22: Chapter 1 Introduction Progress in
Page 23 and 24: CHAPTER 1. INTRODUCTION 20 tum phys
Page 25 and 26: CHAPTER 1. INTRODUCTION 22 with lig
Page 27 and 28: CHAPTER 1. INTRODUCTION 24 Probe La
Page 29 and 30: CHAPTER 1. INTRODUCTION 26 used [Re
Page 31 and 32: CHAPTER 1. INTRODUCTION 28 a) Charg
Page 33 and 34: CHAPTER 1. INTRODUCTION 30 5 µm L
Page 35 and 36: CHAPTER 1. INTRODUCTION 32 to contr
Page 37 and 38: Chapter 2 Cavity Quantum Electrodyn
Page 39 and 40: CHAPTER 2. CAVITY QUANTUM ELECTRODY
Page 49 and 50: CHAPTER 3. CAVITY QED WITH SUPERCON
Page 61 and 62:
CHAPTER 3. CAVITY QED WITH SUPERCON
Page 63 and 64:
Page 65 and 66:
Page 67 and 68:
Page 69 and 70:
Page 71 and 72:
Page 73 and 74:
Page 75 and 76:
Page 77 and 78:
Page 79 and 80:
Page 81 and 82:
Page 83 and 84:
Page 85 and 86:
Chapter 4 Decoherence in the Cooper
Page 87 and 88:
CHAPTER 4. DECOHERENCE IN THE COOPE
Page 89 and 90:
Page 91 and 92:
Page 93 and 94:
Page 95 and 96:
Page 97 and 98:
Page 99 and 100:
Page 101 and 102:
Page 103 and 104:
Page 105 and 106:
Page 107 and 108:
Page 109 and 110:
Page 111 and 112:
Page 113 and 114:
Page 115 and 116:
Page 117 and 118:
Page 119 and 120:
Page 121 and 122:
Page 123 and 124:
CHAPTER 5. DESIGN AND FABRICATION 1
Page 125 and 126:
Page 127 and 128:
Page 129 and 130:
Page 131 and 132:
Page 133 and 134:
Page 135 and 136:
Page 137 and 138:
Page 139 and 140:
Page 141 and 142:
Page 143 and 144:
Page 145 and 146:
CHAPTER 6. MEASUREMENT SETUP 142 ω
Page 147 and 148:
CHAPTER 6. MEASUREMENT SETUP 144 4
Page 149 and 150:
CHAPTER 6. MEASUREMENT SETUP 146 ac
Page 151 and 152:
CHAPTER 6. MEASUREMENT SETUP 148 me
Page 153 and 154:
CHAPTER 6. MEASUREMENT SETUP 150 Q(
Page 155 and 156:
CHAPTER 6. MEASUREMENT SETUP 152 Ad
Page 157 and 158:
Chapter 7 Characterization of CQED
Page 159 and 160:
CHAPTER 7. CHARACTERIZATION OF CQED
Page 161 and 162:
Page 163 and 164:
Page 165 and 166:
Page 167 and 168:
Page 169 and 170:
Page 171 and 172:
Page 173 and 174:
CHAPTER 8. CAVITY QED EXPERIMENTS W
Page 175 and 176:
Page 177 and 178:
Page 179 and 180:
Page 181 and 182:
Page 183 and 184:
Page 185 and 186:
Page 187 and 188:
Page 189 and 190:
Page 191 and 192:
Page 193 and 194:
Page 195 and 196:
Page 197 and 198:
Page 199 and 200:
Page 201 and 202:
Page 203 and 204:
Chapter 9 Time Domain Measurements
Page 205 and 206:
CHAPTER 9. TIME DOMAIN MEASUREMENTS
Page 207 and 208:
Page 209 and 210:
Page 211 and 212:
Page 213 and 214:
Page 215 and 216:
Page 217 and 218:
Page 219 and 220:
Page 221 and 222:
Page 223 and 224:
Chapter 10 Future work The biggest
Page 225 and 226:
CHAPTER 10. FUTURE WORK 222 possibl
Page 227 and 228:
CHAPTER 10. FUTURE WORK 224 frequen
Page 229 and 230:
CHAPTER 11. CONCLUSIONS 226 There i
Page 231 and 232:
APPENDIX A. OPERATORS AND COMMUTATI
Page 233 and 234:
APPENDIX B. DERIVATION OF DRESSED S
Page 235 and 236:
APPENDIX B. DERIVATION OF DRESSED S
Page 237 and 238:
Appendix D Recipes This Appendix wi
Page 239 and 240:
APPENDIX D. RECIPES 236 PMMA develo
Page 241 and 242:
APPENDIX D. RECIPES 238 Electron Be
Page 243 and 244:
BIBLIOGRAPHY 240 [Bennett1984] C. H
Page 245 and 246:
BIBLIOGRAPHY 242 [Clauser1974] John
Page 247 and 248:
BIBLIOGRAPHY 244 frequency noise in
Page 249 and 250:
BIBLIOGRAPHY 246 [Kuhn2002] Axel Ku
Page 251 and 252:
BIBLIOGRAPHY 248 controlled by exte
Page 253 and 254:
BIBLIOGRAPHY 250 [Rivest1978] R. L.
Page 255:
BIBLIOGRAPHY 252 [Walls2006] D. F.
show all

Circuit Quantum Electrodynamics - Yale School of Engineering ...

Create successful ePaper yourself

Delete template?

Save as template?