Doctoral Dissertation: Quantum Measurement, Quantum Chaos, and Bose-Einstein Condensates

Download (pdf, US letter format) A4 format Full thesis Title page, preface, contents Part 1: Quantum state synthesis and measurement Chapter 1: Measurement in quantum mechanics Chapter 2: Nonclassical states and measurement of general motional observables of a trapped ion Phys. Rev. A 55, 1683 (1997) Appendix A: Transforming to a rotating frame Part 2: Quantum chaos Chapter 3: Chaos in classical dynamical systems Chapter 4: The classical delta-kicked harmonic oscillator Chapter 5: Quantum chaos Chapter 6: The quantum delta-kicked harmonic oscillator Chapter 7: Quantum chaos in an ion trap: The delta-kicked harmonic oscillator Phys. Rev. Lett. 79, 4790 (1997) Appendix B: Adiabatic eliminations Appendix C: Extension: Including decoherence Part 3: Nonlinear wave chaos and Bose-Einstein condensates Chapter 8: Bose-Einstein condensation and condensates: a brief overview Chapter 9: Many body dynamics in the presence of a Bose-Einstein condensate Chapter 10: Nonlinear wave equations and integrability Chapter 11: Nonlinear matter wave dynamics with a chaotic potential Phys. Rev. A 62, 023612 (2000) Appendix D: Wigner function formulation of Gross-Pitaevskii dynamics Appendix E: Hydrodynamic formulation of Gross-Pitaevskii dynamics Appendix F: Fourier methods Appendix G: Moyal bracket Author index, acknowledgements, Danksagung