BIBLIOGRAPHY[57] Fetter, A. L. Vortex stability in a trapped <strong>Bose</strong> condensate. Journal <strong>of</strong> LowTemperature <strong>Physics</strong> 113, 3–4 (1998), 189–194.[58] Feynman, R. P. Simulating physics with computers. International Journal <strong>of</strong>Theoretical <strong>Physics</strong> 21, 6–7 (1982), 467–489.[59] Fried, D. G., Killian, T. C., Willmann, L., huis, D. L., Moss, S. C., Kleppner,D., and Greytak, T. J. <strong>Bose</strong>-<strong>Einstein</strong> condensation <strong>of</strong> atomic hydrogen.Physical Review Letters 81, 18 (Nov. 1998), 3811–3814.[60] Gardiner, A. G. C. W., and Drummond, P. D. Positive P representation:Application and validity. Physical Review A 55, 4 (Apr. 1997), 3014–3032.[61] Gardiner, C. W. Handbook <strong>of</strong> stochastic methods for physics, chemistry, and thenatural sciences, vol.13<strong>of</strong>Springer series in synergetics. Springer-Verlag, Berlin,New York, 1983.[62] Gardiner, C. W. <strong>Quantum</strong> Noise. Springer, Berlin, 1991.[63] Gardiner,C.W.,Lee,M.D.,Ballagh,R.J.,Davis,M.J.,andZoller,P. <strong>Quantum</strong> kinetic theory <strong>of</strong> condensate growth: comparison <strong>of</strong> experiment andtheory. Physical Review Letters 81, 24 (Dec. 14 1999), 5266–5269.[64] Gardiner, C. W., and Zoller, P. <strong>Quantum</strong> kinetic theory: A quantum kineticmaster equation for condensation <strong>of</strong> a weakly interacting <strong>Bose</strong> gas without a trappingpotential. Physical Review A 55, 4 (Apr. 1997), 2902–2921.[65] Gardiner, C. W., and Zoller, P. <strong>Quantum</strong> kinetic theory. III. quantum kineticmaster equation for strongly condensed trapped systems. Physical Review A 58, 1(July 1998), 536–556.[66] Gardiner, C. W., Zoller, P., Ballagh, R. J., and Davis, M. J. Kinetics <strong>of</strong><strong>Bose</strong>-<strong>Einstein</strong> condensation in a trap. Physical Review Letters 79, 10 (Sept. 8 1997),1793–1796.[67] Glauber, R. J. The quantum theory <strong>of</strong> optical coherence. Physical Review 130, 6(June 1963), 2529–2539.181
BIBLIOGRAPHY[68] Gordon,D.,andSavage,C.M. Excitation spectrum and instability <strong>of</strong> a twospecies<strong>Bose</strong>-<strong>Einstein</strong> condensate. Physical Review A 58, 2 (Aug. 1998), 1440–1444.[69] Gordon, J. P. Optics Letters 11, 10 (Oct. 1986), 662–664.[70] Gordon, J. P., and Haus, H. A. Random walk <strong>of</strong> coherently amplified solitonsin optical fiber transmission. Optics Letters 11, 10 (Oct. 1986), 665–667.[71] Graham, R., Wong, T., Collett, M. J., Tan, S. M., and Walls, D. F.Phase preparation by atom counting <strong>of</strong> <strong>Bose</strong>-<strong>Einstein</strong> condensates in mixed states.Physical Review A 57, 1 (Jan. 1998), 493–502.[72] Griffin, A., Snoke, D. W., and Stringari, S. <strong>Bose</strong>-<strong>Einstein</strong> condensation.Cambridge University Press, Cambridge, 1995.[73] Grüter, P., Ceperley, D., and Laloë, F. Critical temperature <strong>of</strong> <strong>Bose</strong>-<strong>Einstein</strong>condensation <strong>of</strong> hard-sphere gases. Physical Review Letters 79, 19 (Nov. 10 1997),3549–3552.[74] Hall, D. S., Matthews, M. R., Wieman, C. E., and Cornell, E. A. Measurements<strong>of</strong> relative phase in two-component <strong>Bose</strong>-<strong>Einstein</strong> condensates. PhysicalReview Letters 81, 8 (Aug. 24 1998), 1543–1546.[75] Hall, M. J. W. Universal geometric approach to uncertainty, entropy, and information.Physical Review A 59, 4 (Apr. 1 1999), 2602–2615.[76] Hamaide, J., Emplit, P., and Haelterman, M. Dark-soliton jitter in amplifiedoptical transmission systems. Optics Letters 16, 20 (Oct. 1991), 1578–1580.[77] Harris, D. J., Wiseman, H. M., and Milburn, G. J. Unpublished, 1998.[78] Hasegawa, A., and Tappert, F. Transmission <strong>of</strong> stationary nonlinear opticalpulses in dispersive dielectric fibres. II. normal dispersion. Applied <strong>Physics</strong> 23, 4(Aug. 1973), 171–172.[79] Haus, H. A., and Wong, W. S. Solitons in optical communications. Reviews <strong>of</strong>Modern <strong>Physics</strong> 68, 2 (Apr. 1996), 423–444.[80] Hecht, C. E. The possible superfluid behaviour <strong>of</strong> hydrogen atom gases and liquids.Physica 25, 10 (Oct. 1959), 1159–1161.182
- 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 and 10:
List of Figures2.1 Two-mode approxi
- Page 11 and 12:
LIST OF FIGURES7.5 Angular momentum
- 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 25 and 26:
2. Properties of an atomic Bose con
- Page 27 and 28:
2. Properties of an atomic Bose con
- Page 29 and 30:
2. Properties of an atomic Bose con
- Page 31 and 32:
2. Properties of an atomic Bose con
- Page 33 and 34:
2. Properties of an atomic Bose con
- Page 35 and 36:
2. Properties of an atomic Bose con
- Page 37 and 38:
2. Properties of an atomic Bose con
- Page 39 and 40:
2. Properties of an atomic Bose con
- Page 41 and 42:
2. Properties of an atomic Bose con
- Page 43 and 44:
2. Properties of an atomic Bose con
- Page 45 and 46:
2. Properties of an atomic Bose con
- Page 47 and 48:
2. Properties of an atomic Bose con
- Page 49 and 50:
2. Properties of an atomic Bose con
- Page 51 and 52:
2. Properties of an atomic Bose con
- Page 53 and 54:
2. Properties of an atomic Bose con
- Page 55 and 56:
2. Properties of an atomic Bose con
- Page 57 and 58:
2. Properties of an atomic Bose con
- Page 59 and 60:
2. Properties of an atomic Bose con
- Page 62 and 63:
3. Homodyne measurements on a Bose-
- Page 64 and 65:
3. Homodyne measurements on a Bose-
- Page 66 and 67:
3. Homodyne measurements on a Bose-
- Page 68 and 69:
3. Homodyne measurements on a Bose-
- Page 70:
3. Homodyne measurements on a Bose-
- Page 75 and 76:
3. Homodyne measurements on a Bose-
- Page 77 and 78:
3. Homodyne measurements on a Bose-
- Page 79 and 80:
Chapter 4Continuously monitored con
- Page 81 and 82:
4. Continuously monitored Bose cond
- Page 83 and 84:
4. Continuously monitored Bose cond
- Page 85 and 86:
4. Continuously monitored Bose cond
- Page 87 and 88:
4. Continuously monitored Bose cond
- Page 89 and 90:
4. Continuously monitored Bose cond
- Page 91 and 92:
4. Continuously monitored Bose cond
- Page 93 and 94:
4. Continuously monitored Bose cond
- Page 95 and 96:
4. Continuously monitored Bose cond
- Page 97 and 98:
4. Continuously monitored Bose cond
- Page 99 and 100:
4. Continuously monitored Bose cond
- Page 101 and 102:
4. Continuously monitored Bose cond
- Page 103 and 104:
4. Continuously monitored Bose cond
- Page 105 and 106:
4. Continuously monitored Bose cond
- Page 107 and 108:
Chapter 5Weak force detection using
- Page 109 and 110:
5. Weak force detection using a dou
- Page 111 and 112:
5. Weak force detection using a dou
- Page 113 and 114:
5. Weak force detection using a dou
- Page 115 and 116:
5. Weak force detection using a dou
- Page 117 and 118:
5. Weak force detection using a dou
- Page 119 and 120:
5. Weak force detection using a dou
- Page 121 and 122:
5. Weak force detection using a dou
- Page 123 and 124:
Part IIQuantum evolution of a Bose
- Page 125 and 126:
6. Quantum effects in optical fibre
- Page 127 and 128:
6. Quantum effects in optical fibre
- Page 129 and 130:
6. Quantum effects in optical fibre
- Page 131 and 132: 6. Quantum effects in optical fibre
- Page 133 and 134: 6. Quantum effects in optical fibre
- Page 135 and 136: 6. Quantum effects in optical fibre
- Page 137 and 138: 6. Quantum effects in optical fibre
- Page 139 and 140: 6. Quantum effects in optical fibre
- Page 141 and 142: Chapter 7Quantum simulations of eva
- Page 143 and 144: 7. Quantum simulations of evaporati
- Page 145 and 146: 7. Quantum simulations of evaporati
- Page 147 and 148: 7. Quantum simulations of evaporati
- Page 149 and 150: 7. Quantum simulations of evaporati
- Page 151 and 152: 7. Quantum simulations of evaporati
- Page 153 and 154: 7. Quantum simulations of evaporati
- Page 155 and 156: 7. Quantum simulations of evaporati
- Page 157 and 158: 7. Quantum simulations of evaporati
- Page 159 and 160: 7. Quantum simulations of evaporati
- Page 161 and 162: 7. Quantum simulations of evaporati
- Page 163 and 164: 7. Quantum simulations of evaporati
- Page 165 and 166: 7. Quantum simulations of evaporati
- Page 167 and 168: 7. Quantum simulations of evaporati
- Page 169 and 170: 7. Quantum simulations of evaporati
- 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: BIBLIOGRAPHY[45] Drummond, P. D., C
- 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