Shot-noise correlation theory for weak measurement of a single spin in a quantum dot.

• Other Authors: Fung, Shu Hong.
• Format: Others
• Language: English; Chinese
• Published: 2008
• Subjects: Quantum dots; Rotational motion; Coherent states; Quantum theory
• Online Access: http://library.cuhk.edu.hk/record=b5893728; http://repository.lib.cuhk.edu.hk/en/item/cuhk-326474

Fung, Shu Hong = 量子點內自旋弱量度的散粒噪聲相關理論 / 馮書航. === Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. === Includes bibliographical references (p. 80-85). === Abstracts in English and Chinese. === Fung, Shu Hong = Liang zi dian nei zi xuan ruo liang du de san li zao sheng xiang guan li lun / Feng Shuhang. === Chapter 1 --- Introduction --- p.1 === Chapter 2 --- Review on measurement theory --- p.5 === Chapter 2.1 --- Weak measurement --- p.5 === Chapter 2.2 --- POVM formalism --- p.7 === Chapter 2.3 --- Noise spectroscopy --- p.8 === Chapter 3 --- Review on spin decoherence --- p.11 === Chapter 3.1 --- Longitudinal relaxation --- p.12 === Chapter 3.2 --- Transverse relaxation --- p.12 === Chapter 3.3 --- Inhomogeneous broadening --- p.13 === Chapter 3.4 --- Typical relaxation timescales --- p.14 === Chapter 4 --- Proof-of-principle setup --- p.15 === Chapter 4.1 --- Faraday rotation --- p.15 === Chapter 4.2 --- Polarization beam splitter --- p.17 === Chapter 4.3 --- Quantum state of the system --- p.19 === Chapter 5 --- Weak measurement on the spin --- p.22 === Chapter 5.1 --- POVM of measurement --- p.22 === Chapter 5.2 --- POVM of dephasing --- p.25 === Chapter 5.3 --- Interval distribution operator --- p.26 === Chapter 5.4 --- Interval distribution function without dephasing --- p.27 === Chapter 5.5 --- Second order correlation function without dephasing --- p.31 === Chapter 5.6 --- Interval distribution function with dephasing --- p.34 === Chapter 5.7 --- Second order correlation function with dephasing --- p.40 === Chapter 5.8 --- Effect of inhomogeneous broadening on g(2)(t) --- p.42 === Chapter 5.9 --- Third order correlation function --- p.43 === Chapter 5.10 --- Monte Carlo simulation --- p.44 === Chapter 5.11 --- Results and discussion --- p.46 === Chapter 5.11.1 --- Characteristics and implications of g(2)(t) --- p.46 === Chapter 5.11.2 --- "Characteristics and implications of g(3)(t1,t2)" --- p.47 === Chapter 6 --- Interval distribution function with random force models --- p.49 === Chapter 6.1 --- Impact collision model --- p.51 === Chapter 6.2 --- Modified diffusion model --- p.53 === Chapter 6.3 --- Difficulties in the calculation of g(2)(t) --- p.54 === Chapter 6.4 --- Kn as a measured quantity --- p.57 === Chapter 7 --- Conclusion --- p.59 === Chapter A --- Alternative derivation of k and higher order corrections --- p.62 === Chapter B --- Evaluation of integrals in the exponential --- p.70 === Chapter B.1 --- Integral of the form ∫ts + ∫vu --- p.70 === Chapter B.2 --- Integrals of the form ∫ts + ∫vu + ∫yz --- p.72 === Chapter C --- Evaluation of four-click events --- p.74 === Bibliography --- p.76