Kooperativer Bibliotheksverbund

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Format: 1 online resource (212 pages)

ISBN: 3-030-83473-5

Series Statement: Springer theses

Note: Intro -- Supervisor's Foreword -- Abstract -- Acknowledgements -- Contents -- Acronyms -- 1 Introduction -- 1.1 Coherent Control of a Quantum Spin -- 1.2 Manipulating a High-Spin Nucleus -- 1.3 Thesis Outline -- References -- 2 High-Dimensional Spins -- 2.1 The Discovery of Spin -- 2.2 Nuclear Spin -- 2.3 Nuclear Spin States -- 2.4 Spin Operators -- 2.5 Spin Coherent States -- 2.6 Spin Visualization with the Husimi Q Distribution -- 2.7 Generalized Rotating Frame -- 2.7.1 Description of the Generalized Rotating Frame -- 2.7.2 Derivation of the Generalized Rotating Frame -- 2.8 Basis Comparison -- 2.9 Arbitrary State Preparation -- References -- 3 Theory of Donors in Silicon -- 3.1 Solid State Physics of Donors in Silicon -- 3.2 Donor Spin Hamiltonian -- 3.2.1 Neutral Donor Spin Hamiltonian -- 3.2.2 Zeeman Interaction -- 3.2.3 Hyperfine Interaction -- 3.2.4 Low-Field Versus High-Field Limit -- 3.2.5 Resonant Driving -- 3.2.6 Ionized Donor Hamiltonian -- 3.3 Nuclear Quadrupole Interaction -- 3.3.1 Nuclear Quadrupole Hamiltonian -- 3.3.2 Estimates of Nuclear Quadrupole Interaction -- 3.3.3 Nuclear Spectrum -- 3.3.4 Extraction of Quadrupole Parameters -- References -- 4 Experimental Setup -- 4.1 Architecture of an 123123-Sb-Implanted Silicon Nanodevice -- 4.2 The Single Electron Transistor (SET) -- 4.2.1 Electrostatics of the SET -- 4.2.2 SET Modes of Operation -- 4.3 Fabrication Protocol -- 4.4 123123-Sb Implantation Parameters -- 4.5 Device Packaging and Cooling -- 4.6 Instrumentation and Connectivity -- 4.7 Phase-Coherent DDS -- 4.8 SilQ Measurement Software -- References -- 5 123-Sb Donor Device Characterization -- 5.1 Charge Sensing with an SET -- 5.1.1 Calibration of the SET -- 5.1.2 Charge Stability Diagram -- 5.2 Donor Triangulation -- 5.3 Electron Spin Control and Readout -- 5.3.1 Donor Electrochemical Potential Regimes. , 5.3.2 Electron Readout and Initialization Fidelity -- 5.4 ESR Spectrum -- 5.5 Flip-Flop Transition -- 5.5.1 Flip-Flop Rabi Oscillations -- 5.5.2 Flip-Flop Driven Nuclear-Spin Initialization -- 5.6 Continuous Tuning via a Neural-Network -- References -- 6 Nuclear Electric Resonance -- 6.1 Initial Nuclear Resonance Measurements -- 6.1.1 Nuclear Spin Initialization, Manipulation, and Readout -- 6.1.2 First Nuclear Transition and Rabi Oscillations -- 6.1.3 Measurements of Subsequent Transitions -- 6.2 Nuclear Electric Resonance (NER) -- 6.2.1 Properties of NER -- 6.2.2 Delta m = 1 Nuclear Spectrum and Rabi Oscillations -- 6.2.3 Delta m = 2 Nuclear Spectrum and Rabi Oscillations -- 6.2.4 Power Dependence of Rabi Frequencies -- 6.3 Antenna-Driven NER -- 6.3.1 Enhanced Electric Fields from a Melted Antenna -- 6.3.2 Gate-Driven Versus Antenna-Driven NER -- 6.4 Linear Quadrupole Stark Effect -- 6.5 Nuclear Coherence Times -- 6.6 Possible Quadrupole Orientations -- 6.7 Conclusion -- References -- 7 Microscopic Crystalline Origins of the Quadrupole Interaction -- 7.1 Microscopic Origins of the Electric Field Gradient -- 7.2 Finite-Element Model of the Nanostructure Device -- 7.3 Electric-Field-Induced Quadrupole Splitting and NER -- 7.3.1 The Linear Quadrupole Stark Effect (LQSE) -- 7.3.2 The Electric-Field Response Tensor -- 7.3.3 Electric-Field Response-Tensor Estimate -- 7.3.4 Comparison to LQSE Measurements and Empirical Theory -- 7.4 Strain-Induced Quadrupole Splitting -- 7.4.1 The Gradient-Elastic Tensor -- 7.4.2 Gradient-Elastic Tensor Calculations -- 7.4.3 Calculation of Quadrupole Splitting Due to Strain -- 7.5 Alternative (Unlikely) Sources of NER -- 7.5.1 Direct Effect of Electric Gate Potentials -- 7.5.2 Mechanical Driving Through SiO2 Piezoelectricity -- 7.6 Conclusion -- References -- 8 Exploring Quantum Chaos with a Single High-Spin Nucleus. , 8.1 Background of Quantum Chaos -- 8.1.1 Introduction -- 8.1.2 Chaos Theory -- 8.1.3 Quantum Chaos -- 8.1.4 Experimental Tests of Quantum Chaos -- 8.2 The Classical Chaotic Driven Top -- 8.3 The Quantum Driven Top -- 8.3.1 Experimental Platform -- 8.3.2 Comparison Between Classical and Quantum Hamiltonian Parameters -- 8.3.3 Realizing a Quantum Driven Top in the Laboratory Frame -- 8.3.4 Eigenbasis Mismatch -- 8.3.5 Realizing a Quantum Driven Top in the Rotating Frame -- 8.3.6 Summary -- 8.4 Quantum Dynamics and the Floquet Formalism -- 8.5 Quantum Versus Classical Dynamics: A Comparison -- 8.5.1 Decoherence as a Precursor of Chaos -- 8.5.2 Dynamical Tunneling -- 8.5.3 Dependence of Dynamical Tunneling Rate on System Parameters -- 8.6 Conclusion and Outlook -- References -- 9 Conclusions and Outlook -- 9.1 Summary -- 9.2 Comparison with Other High-Dimensional Quantum Systems -- 9.3 Further Characterization of the Quadrupole Coupling to Strain and Electric Fields -- 9.4 Strain Sensing -- 9.5 Quantum Computation -- 9.6 Mutual Coupling of High-Dimensional Spins -- 9.7 Quantum Chaos -- 9.8 Quantum Metrology -- 9.9 Spin-Mechanical Coupling -- References -- Appendix A Finite Element Model Parameters -- Appendix B Hyperfine-Coupled 123-Sb Nucleus -- Appendix C Slope in Delta m = 2 Rabi Frequencies -- Appendix D Spectral Shift at Charge Transition -- Appendix E DFT Simulation Details -- Appendix F Classical Equations of Motion for the Driven Top -- F.1 Derivation of Classical Equations of Motion -- F.2 Equations of Motion for the Classical Driven Top -- Appendix G Quantum Driven Top in the Rotating Frame and the Rotating Wave Approximation -- G.1 Transforming Spin Operators to the Rotating Frame -- G.2 Hamiltonian Under the Rotating Wave Approximation -- G.3 Relative Angle Between Quadrupole Interaction and Periodic Drive. , Appendix H Simulation Details for Chaotic Dynamics -- H.1 Classical Simulations -- H.2 Quantum Simulations -- Appendix About the Author -- Appendix References.

Additional Edition: ISBN 3-030-83472-7

Language: English