Open Quantum Dynamics of Mesoscopic Bose-Einstein ... - Physics

More documents

Recommendations

Info

LIST OF FIGURES3.2 Evolution of 〈 Ĵ x in the monitored system, with all atoms initially in one〉cwell. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 713.3 Evolution of 〈 Ĵ x in the monitored system, with no atomic collisions. . . .〉c723.4 Fourier transform of the tunnelling data in Figs 3.3 & 3.8. . . . . . . . . . . 733.5 Unconditional evolution of second-order moments. . . . . . . . . . . . . . . 743.6 Approximate evolution of 〈 Ĵ x ,forN = 100 atoms. . . . . . . . . . . . . . 75〉c3.7 Approximate evolution of 〈 Ĵ x ,forN = 1000 atoms. . . . . . . . . . . . . 75〉c3.8 Evolution of 〈 Ĵ x in the monitored system, with atomic collisions included. 77〉c4.1 Q function evolution for a weak measurement. . . . . . . . . . . . . . . . . . 844.2 Q function evolution for a strong measurement. . . . . . . . . . . . . . . . . 854.3 Q function evolution for weak atomic interactions . . . . . . . . . . . . . . . 874.4 Q function evolution for strong atomic interactions . . . . . . . . . . . . . . 884.5 Q function evolution for very strong atomic interactions. . . . . . . . . . . . 894.6 Q function evolution from the initial state ∣ ∣j, 0 〉 y . . . . . . . . . . . . . . . . 904.7 Evolution of 〈〉Ĵ x c and 〈 Ĵ z with no atomic collisions. . . . . . . . . . . . . 91〉c4.8 Evolution of 〈〉Ĵ x c and 〈 Ĵ z with atomic collisions included. . . . . . . . . 92〉c4.9 Q function evolution from the initial state ∣ ∣j, −j 〉 for a medium measurementzstrength. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 944.10 Q function evolution from the initial state ∣ j, −j for a strong measurement. 95〉z4.11 Q function evolution from the initial state ∣ j, −j , for very strong atomic〉zinteractions. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 965.1 Weak force detector . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1085.2 Probability distribution of integrated current. . . . . . . . . . . . . . . . . . 1135.3 Shift in the mean population difference for an initial Bloch state. . . . . . . 1196.1 Spectra of the Raman gain and fluorescence function. . . . . . . . . . . . . 1366.2 Timing jitter in t 0 = 500fs bright and dark solitons. . . . . . . . . . . . . . 1377.1 Cross sections of the potential and absorption profiles. . . . . . . . . . . . . 1487.2 Single-trajectory simulations of evaporative cooling. . . . . . . . . . . . . . 1567.3 Ensemble average simulations of evaporative cooling. . . . . . . . . . . . . . 1577.4 Ensemble average evolution of the confinement parameter C. . . . . . . . . . 1589
LIST OF FIGURES7.5 Angular momentum distribution during condensation of a two-dimensionalBose gas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1627.6 Ensemble evolution the angular momentum distribution. . . . . . . . . . . . 1627.7 Single-trajectory calculation using alternative potentials. . . . . . . . . . . . 1637.8 Single-trajectory calculation of ‘RF-scalpel’ evaporation. . . . . . . . . . . . 1647.9 Three-dimensional GP calculation with strongly interacting atoms. . . . . . 16510
Page 1 and 2: Open Quantum Dynamics of Mesoscopic
Page 3 and 4: AcknowledgementsMy thanks must firs
Page 5 and 6: AbstractThe properties of an atomic
Page 7 and 8: CONTENTS4 Continuously monitored Bo
Page 9: List of Figures2.1 Two-mode approxi
Page 14 and 15: LIST OF ABBREVIATIONS AND SYMBOLSI{
Page 17 and 18: 1. Condensation ‘without forces
Page 19 and 20: 1. Condensation ‘without forces
Page 21 and 22: Chapter 2Properties of an atomic Bo
Page 23 and 24: 2. Properties of an atomic Bose con
Page 62 and 63:
3. Homodyne measurements on a Bose-
Page 64 and 65:
Page 66 and 67:
Page 68 and 69:
Page 70:
Page 75 and 76:
Page 77 and 78:
Page 79 and 80:
Chapter 4Continuously monitored con
Page 81 and 82:
4. Continuously monitored Bose cond
Page 83 and 84:
Page 85 and 86:
Page 87 and 88:
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:
Chapter 5Weak force detection using
Page 109 and 110:
5. Weak force detection using a dou
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:
Part IIQuantum evolution of a Bose
Page 125 and 126:
6. Quantum effects in optical fibre
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:
Chapter 7Quantum simulations of eva
Page 143 and 144:
7. Quantum simulations of evaporati
Page 145 and 146:
Page 147 and 148:
Page 149 and 150:
Page 151 and 152:
Page 153 and 154:
Page 155 and 156:
Page 157 and 158:
Page 159 and 160:
Page 161 and 162:
Page 163 and 164:
Page 165 and 166:
Page 167 and 168:
Page 169 and 170:
Page 171 and 172:
A. Stochastic calculus in outlineco
Page 173 and 174:
Appendix BQuasiprobability distribu
Page 175 and 176:
B. Quasiprobability distributions u
Page 177 and 178:
Bibliography[1] Agrawal, G. P. Nonl
Page 179 and 180:
BIBLIOGRAPHY[22] Carter,S.J.Quantum
Page 181 and 182:
BIBLIOGRAPHY[45] Drummond, P. D., C
Page 183 and 184:
BIBLIOGRAPHY[68] Gordon,D.,andSavag
Page 185 and 186:
BIBLIOGRAPHY[92] Jaksch,D.,Gardiner
Page 187 and 188:
BIBLIOGRAPHY[114] Marshall, R. J.,
Page 189 and 190:
BIBLIOGRAPHY[135] Naraschewski, M.,
Page 191 and 192:
BIBLIOGRAPHY[158] Shelby, R. M., Le
Page 193 and 194:
BIBLIOGRAPHY[179] Wiseman, H. M. Qu
Page 195:
. . . but this book is already too
show all

Open Quantum Dynamics of Mesoscopic Bose-Einstein ... - Physics

Create successful ePaper yourself

Delete template?

Save as template?