From coherent to single-particle quantum walks / vorgelegt von Thomas Nitsche ; [1. Gutachterin: Prof. Dr. Christine Silberhorn, 2. Gutachter: Prof. Dr. Thomas Zentgraf]. Paderborn, 2019
Content
- Abstract
- Zusammenfassung
- Introduction
- Fundamentals Part 1: Parametric Down-Conversion
- Fundamentals Part 2: Quantum Walks
- Fundamentals Part 3: Experimental Signatures of a Single Photon
- State of the Art
- From Coherent Quantum Walks to Single Photon Quantum Walks
- Experimental Setup
- Optimising HOM-Dip Visibility
- HOM-Dip Experiment between Different Time Bins
- Temporal Delay
- Temporal Shape - Dispersion
- Spectral Characteristics
- PDC in LN sample
- PDC in KTP sample
- PDC in Sample 2
- Spectral Distinguishability
- Spectral Purity
- PDC in Sample 2
- Photon-Number Statistics
- Numerical Simulations in Framework QuTip
- Mean Photon Number
- Losses
- Measured Visibilities - Results and Conclusion for Sample 1
- Conclusion and Results for Sample 2
- Testing Loop with seeded PDC
- Experiments with Coherent States Part 1: Investigating Topological Phenomena
- Introduction
- Split-step Quantum Walk and Topological Invariants
- Scattering Approach
- Experimental Implementation of the Scattering Approach
- Results for the Scattering Approach
- Measuring Eigenvalues of Edge States
- Decoupling
- Eigenstate Distillation
- Phase-Reference Method
- Evolution of the Wave Function
- Experimental Eigenvalues
- Supersymmetric Polarisation Anomaly
- Conclusion: Accessibility of Topological Properties
- Experiments with Coherent States Part 2: Investigating Measurement-induced Effects
- Time-multiplexed HOM-Dip
- Probing Parity
- Probing Relative Translation
- Higher Numbers of Time Bins
- Simulating Time-multiplexed HOM-Dip with QuTip
- Time-multiplexed HOM-Dip with Coherent Light
- Effects of Partial Overlap
- Experimental Investigation of Imperfections
- Conclusion for Time-multiplexed HOM-dip
- Conclusion and Outlook
- Bibliography
- Acknowledgements
- Appendix: Equivalence of Coherent Light and Single Photons for a Single Initial Position
- Appendix: Parity of Interfering State
- Appendix: Processing Time Lists
- Appendix: Software in Use
- Accessing EOMs
- Generating Time Lists for the EOMs
- Data Analysis - Analysing histograms from bin-files
- Data Analysis - Live analysis of Coincidences
- Numerical Simulations in QuTip
- Appendix: The Pump
- Appendix: Implementing Seeded PDC
- Appendix: Equivalence of Split-step Definitions