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E-raamat: Single-Photon Generation and Detection: Physics and Applications

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Single-photon generation and detection is at the forefront of modern optical physics research. This book is intended to provide a comprehensive overview of the current status of single-photon techniques and research methods in the spectral region from the visible to the infrared. The use of single photons, produced on demand with well-defined quantum properties, offers an unprecedented set of capabilities that are central to the new area of quantum information and are of revolutionary importance in areas that range from the traditional, such as high sensitivity detection for astronomy, remote sensing, and medical diagnostics, to the exotic, such as secretive surveillance and very long communication links for data transmission on interplanetary missions. The goal of this volume is to provide researchers with a comprehensive overview of the technology and techniques that are available to enable them to better design an experimental plan for its intended purpose. The book will be broken into chapters focused specifically on the development and capabilities of the available detectors and sources to allow a comparative understanding to be developed by the reader along with and idea of how the field is progressing and what can be expected in the near future. Along with this technology, we will include chapters devoted to the applications of this technology, which is in fact much of the driver for its development. This is set to become the go-to reference for this field.

  • Covers all the basic aspects needed to perform single-photon experiments and serves as the first reference to any newcomer who would like to produce an experimental design that incorporates the latest techniques

  • Provides a comprehensive overview of the current status of single-photon techniques and research methods in the spectral region from the visible to the infrared, thus giving broad background that should enable newcomers to the field to make rapid progress in gaining proficiency

  • Written by leading experts in the field, among which, the leading Editor is recognized as having laid down the roadmap, thus providing the reader with an authenticated and reliable source

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The go-to reference for this field, this book provides researchers with a comprehensive overview of the technology and techniques available in single-photon research.
Contributors xiii
Volumes in series xvii
Preface xxi
1 Introduction
1(24)
1.1 Physics of Light---an Historical Perspective
1(1)
1.2 Quantum Light
2(2)
1.2.1 What is Non-Classical Light?
2(1)
1.2.2 What is a Photon?
3(1)
1.3 The Development of Single-Photon Technologies
4(4)
1.4 Some Applications of Single-Photon Technology
8(1)
1.5 This book
9(8)
1.5.1 Single-Photon Detectors
9(7)
1.5.2 Single-Photon Sources
16(1)
1.6 Conclusions
17(8)
References
18(7)
2 Photon Statistics, Measurements, and Measurements Tools
25(44)
2.1 Quantized Electric Field & Operator Notation
26(2)
2.2 Source Characteristics
28(24)
2.2.1 State Vector
28(1)
2.2.2 Density Matrix and Photon Number Probabilities
29(1)
2.2.3 Purity
30(1)
2.2.4 Source Efficiency and Generation Rate
31(1)
2.2.5 Second-Order Coherence, g(2)
32(2)
2.2.6 Relating g(2) to P(n)
34(3)
2.2.7 Ideal and Non-Ideal Single-Photon Sources
37(1)
2.2.8 To measure P(n) or g(2)?
38(1)
2.2.9 Hanbury Brown-Twiss Interferometer
38(4)
2.2.10 Bunching, Antibunching, and Poissonian Photon Statistics
42(2)
2.2.11 High-Order Coherences
44(1)
2.2.12 Indistinguishability
45(2)
2.2.13 Other Sources
47(5)
2.3 Detector Properties
52(17)
2.3.1 Detection Efficiency
53(2)
2.3.2 POVM Elements
55(1)
2.3.3 Photon-Number-Resolving (PNR) Capability
56(6)
2.3.4 Timing Latency and Rise Time
62(1)
2.3.5 Timing Jitter
62(2)
2.3.6 Dead Time, Reset Time, and Recovery Time
64(1)
2.3.7 Dark Count Rate
65(1)
2.3.8 Background Count Rate
65(1)
2.3.9 Afterpulse Probability
65(1)
2.3.10 Active Area
66(1)
2.3.11 Operating Temperature of Active Area
66(1)
References
66(3)
3 Photomultiplier Tubes
69(14)
3.1 Introduction
69(1)
3.2 Brief History
69(2)
3.3 Principle of Operation
71(5)
3.3.1 Photoelectron Emission and Photocathodes
72(1)
3.3.2 Secondary Emission, Dynodes
73(3)
3.4 Photon Counting with Photomultipliers
76(6)
3.5 Conclusion
82(1)
References
82(1)
4 Semiconductor-Based Detectors
83(64)
4.1 Photon Counting: When and Why
84(1)
4.2 Why Semiconductor Detectors for Photon Counting?
85(1)
4.3 Principle of Operation of Single-Photon Avalanche Diodes
85(2)
4.4 Performance Parameters and Features of SPAD Devices
87(7)
4.4.1 Photon Detection Efficiency
88(1)
4.4.2 Dark Count Rate (DCR)
88(1)
4.4.3 Afterpulsing
89(1)
4.4.4 Timing Jitter
90(2)
4.4.5 Crosstalk
92(1)
4.4.6 Fill-Factor
93(1)
4.4.7 Microelectronic Structure of a SPAD: Outline and Basic Features
93(1)
4.5 Circuit Principles for SPAD Operation
94(4)
4.6 Silicon SPAD Devices
98(10)
4.6.1 Planar SPAD Devices Fabricated in a Custom Technology
98(4)
4.6.2 Non-Planar SPAD Devices Fabricated in a Custom Technology
102(2)
4.6.3 High-Voltage, Complementary Metal-Oxide Semiconductor (HV-CMOS) SPADs
104(2)
4.6.4 Standard Deep-Submicron CMOS SPADs
106(2)
4.7 Silicon SPAD Array Detectors
108(5)
4.8 SPADS for the Infrared Spectral Range
113(7)
4.8.1 Infrared SPADs
113(1)
4.8.2 Basic InGaAs/InP SPAD Design Concepts
114(1)
4.8.3 DE and DCR Modeling and Performance
115(2)
4.8.4 Timing Jitter
117(1)
4.8.5 Afterpulsing
118(1)
4.8.6 Comparison of InGaAs/InP SPADs and Si SPADs
119(1)
4.9 Active Gating Techniques for InGaAs SPADs
120(14)
4.9.1 Introduction
120(2)
4.9.2 Sampling
122(1)
4.9.3 Cancellation
123(2)
4.9.4 Introduction to High-Speed Periodic Gating
125(2)
4.9.5 Sine-Wave Gating
127(2)
4.9.6 Self-Differencing
129(2)
4.9.7 Harmonic Subtraction
131(1)
4.9.8 Summary
132(2)
4.10 Future Prospects for Silicon SPADs
134(1)
4.11 Future Prospects for InGaAs SPADs
135(12)
References
137(10)
5 Novel Semiconductor Single-Photon Detectors
147(38)
5.1 Introduction
147(1)
5.2 Solid-State Photomultipliers and Visible-Light Photon Counters
148(18)
5.2.1 Introduction
148(2)
5.2.2 VLPC Structure and Operation
150(4)
5.2.3 SSPM and VLPC Performance
154(7)
5.2.4 Quantitative Model and its Current Limitations
161(2)
5.2.5 New Opportunities for VLPCs
163(3)
5.2.6 Conclusions
166(1)
5.3 Quantum-Dot-Based Detectors
166(19)
5.3.1 Detector Designs and Principles of Operation
167(5)
5.3.2 Photon-Number-Resolving Detection
172(3)
5.3.3 Modeling Photoconductive Gain
175(4)
5.3.4 Conclusions
179(1)
References
180(5)
6 Detectors Based on Superconductors
185(32)
6.1 Introduction
186(1)
6.2 Superconducting Nanowire Single-Photon Detectors
187(7)
6.2.1 Operating Principle
187(4)
6.2.2 Principal Strengths, Weaknesses
191(1)
6.2.3 Areas of Research
192(2)
6.3 Transition-Edge Sensors
194(7)
6.3.1 Operating Principle
195(4)
6.3.2 Principal Strengths and Weaknesses
199(1)
6.3.3 Research Areas
199(2)
6.4 Superconducting Tunnel Junction Detectors
201(3)
6.4.1 Operating Principle
201(3)
6.4.2 Strengths and Weaknesses
204(1)
6.4.3 Research Areas
204(1)
6.5 Microwave Kinetic-Inductance Detectors
204(4)
6.5.1 Operating Principle
205(1)
6.5.2 Strengths and Weaknesses
206(1)
6.5.3 Research Areas
207(1)
6.6 Conclusions and Perspective
208(9)
References
209(8)
7 Hybrid Detectors
217(40)
7.1 Introduction
218(1)
7.2 Space-Multiplexed Detectors
219(17)
7.2.1 Introduction
219(1)
7.2.2 Theory of Operation
220(11)
7.2.3 Experimental Implementations of Space-Multiplexed Detectors
231(5)
7.3 Time-Multiplexed Detectors
236(7)
7.3.1 Introduction
236(1)
7.3.2 Fiber-Loop Detectors
237(4)
7.3.3 Weak-Homodyne Detection
241(2)
7.4 Up-Conversion Detectors
243(10)
7.4.1 Introduction
243(1)
7.4.2 Theory of Single-Photon Up-Conversion
244(1)
7.4.3 Up-Conversion Techniques
245(4)
7.4.4 Pulsed Up-Conversion
249(1)
7.4.5 Ultrafast Up-Conversion
250(3)
7.5 Conclusion
253(4)
References
253(4)
8 Single-Photon Detector Calibration
257(26)
8.1 Introduction
257(2)
8.2 Definitions
259(1)
8.3 Calibration Methods
260(3)
8.3.1 Radiant Power Measurements (Substitution Method)
261(1)
8.3.2 Correlated-Photon-Pair Calibration Method
262(1)
8.4 Practical Considerations
263(16)
8.4.1 Semiconductor Single-Photon Avalanche Diodes
264(11)
8.4.2 Transition Edge Sensors
275(4)
8.5 Conclusion
279(4)
References
280(3)
9 Quantum Detector Tomography
283(32)
9.1 Introduction
283(3)
9.2 Quantum Tomography: Prelude
286(2)
9.2.1 State Tomography
287(1)
9.2.2 Process Tomography
288(1)
9.3 Detector Tomography
288(9)
9.3.1 General Introduction
289(2)
9.3.2 Photon-Number-Resolving Detectors
291(2)
9.3.3 Reconstruction without Phase-Sensitivity
293(2)
9.3.4 Reconstruction with Phase-Sensitivity: the Challenge
295(2)
9.4 Experimental Implementations of Detector Tomography
297(13)
9.4.1 Experimental Setup
298(2)
9.4.2 Q-Function
300(1)
9.4.3 Reconstructed POVM Elements
301(4)
9.4.4 Conditioning and Regularization
305(2)
9.4.5 Robustness of Detector Tomography
307(1)
9.4.6 Wigner Functions
308(2)
9.5 Conclusions
310(5)
References
311(4)
10 The First Single-Photon Sources
315(36)
10.1 Introduction
316(2)
10.2 Feeble Light vs. Single Photon
318(16)
10.2.1 In Search of Feeble Light's Wave-Like Properties: A Short Historical Review
318(1)
10.2.2 Quantum Optics in a Nutshell
319(2)
10.2.3 One-Photon Wavepacket
321(5)
10.2.4 Quasi-Classical Wavepacket
326(2)
10.2.5 The Possibility of an Experimental Distinction
328(1)
10.2.6 Attenuated Continuous Light Beams
329(2)
10.2.7 Light From a Discharge Lamp
331(2)
10.2.8 Conclusion: What is Single-Photon Light?
333(1)
10.3 Photon Pairs as a Resource for Single Photons
334(10)
10.3.1 Introduction
334(1)
10.3.2 Non-Classical Properties in an Atomic Cascade
335(1)
10.3.3 Anticorrelation for a Single Photon on a Beamsplitter
336(3)
10.3.4 The 1986 Anticorrelation Experiment
339(5)
10.4 Single-Photon Interferences
344(2)
10.4.1 Wave-Particle Duality in Textbooks
344(1)
10.4.2 Interferences with a Single Photon
344(2)
10.5 Further Developments
346(5)
10.5.1 Parametric Sources of Photon Pairs
346(1)
10.5.2 Other Heralded and "On-Demand" Single-Photon Sources
347(1)
10.5.3 "Delayed-Choice" Single-Photon Interference Experiments
348(1)
References
348(3)
11 Parametric Down-Conversion
351(60)
11.1 Introduction
352(1)
11.2 Single Photons from PDC: Theory
353(14)
11.2.1 Classical Description of PDC
354(3)
11.2.2 Quantum Mechanical Description of PDC
357(3)
11.2.3 Heralding Single Photons from PDC
360(2)
11.2.4 Heralding Pure Single-Photon Fock States
362(5)
11.3 Bulk-Crystal PDC
367(12)
11.3.1 Birefringent Phase-Matching
367(5)
11.3.2 Heralded Single Photons from Triggered PDC
372(7)
11.4 Periodically-Poled Crystal PDC
379(13)
11.4.1 Quasi-Phase-Matching
379(4)
11.4.2 Periodic Poling
383(1)
11.4.3 Optimal Focus Parameters for Heralding Efficiency
384(4)
11.4.4 Number Purity
388(2)
11.4.5 Spectral Purity
390(1)
11.4.6 Non-Uniform Periodic Poling
391(1)
11.5 Waveguide-Crystal PDC
392(11)
11.5.1 History and Experimental Implementations
393(1)
11.5.2 Theory of PDC in Waveguides
394(5)
11.5.3 Heralding Single Photons from PDC in Waveguides
399(2)
11.5.4 Electric Field Modes in Waveguides
401(2)
11.6 Comparison of Experimental Single-Photon Sources Using PDC
403(1)
11.7 Overview of the Most Commonly Used Nonlinear Materials and Their Properties
404(1)
11.8 Conclusion
404(7)
References
404(7)
12 Four-Wave Mixing in Single-Mode Optical Fibers
411(56)
12.1 Introduction
412(1)
12.2 Photon-Pair Generation in Optical Fibers
413(9)
12.2.1 Classical Four-Wave Mixing Theory and Phase-Matching Requirements
413(3)
12.2.2 Quantum Theory of Four-Wave Mixing
416(3)
12.2.3 Cross-Polarized Four-Wave Mixing in Birefringent Fibers
419(1)
12.2.4 Raman Scattering
420(2)
12.3 Heralded Single-Photon Sources Based on sFWM
422(8)
12.3.1 Photon-Pair Generation in the Anomalous Dispersion Regime
425(2)
12.3.2 Photonic Crystal Fiber Sources in the Normal Dispersion Regime
427(3)
12.4 Quantum Interference Between Separate Spectrally Filtered Fiber Sources
430(6)
12.5 Intrinsically Pure-State Photons
436(8)
12.5.1 Generation of Spectrally Uncorrelated Two-Photon States Through Group Velocity Matching
436(4)
12.5.2 A Temporal Filtering Approach for Attaining Pure-State Photons
440(4)
12.6 Entangled Photon-Pair Sources
444(10)
12.7 Applications of Fiber Photon Sources---All-Fiber Quantum Logic Gates
454(4)
12.8 Photonic Fusion in Fiber
458(2)
12.9 Conclusion
460(7)
References
461(6)
13 Single Emitters in Isolated Quantum Systems
467(74)
13.1 Introduction
468(1)
13.2 Single Photons from Atoms and Ions - A. Kuhn
468(24)
13.2.1 Emission into Free Space
469(2)
13.2.2 Cavity-Based Single-Photon Emitters
471(14)
13.2.3 Photon Coherence, Amplitude, and Phase Control
485(7)
13.3 Single Photons from Semiconductor Quantum Dots - G. S. Solomon
492(19)
13.3.1 Introduction
492(1)
13.3.2 InAs-Based Quantum-Dot Formation
493(1)
13.3.3 Exciton Energetics
494(3)
13.3.4 Optically Accessing Single Quantum Dots
497(2)
13.3.5 Single Photons From Single Quantum Dots
499(3)
13.3.6 Weak QD-Cavity Coupling
502(3)
13.3.7 Quantum-Dot Photon Indistinguishability
505(6)
13.4 Single Defects in Diamond - C. Santori
511(15)
13.4.1 Introduction
511(1)
13.4.2 The Nitrogen-Vacancy Center
511(10)
13.4.3 Other Defects
521(1)
13.4.4 Optical Structures in Diamond
522(3)
13.4.5 Quantum Communication
525(1)
13.4.6 Summary
526(1)
13.5 Future Directions
526(15)
References
527(14)
14 Generation and Storage of Single Photons in Collectively Excited Atomic Ensembles
541(15)
14.1 Introduction
541(2)
14.2 Basic Concepts
543(2)
14.3 From Heralded to Deterministic Single-Photon Sources
545(5)
14.4 Interference of Photons from Independent Sources
550(5)
14.5 Conclusion and Outlook
555(1)
Appendix
556(4)
A Write Process
556(3)
B Read Process
559(1)
References 560(3)
Index 563
Alan Migdall leads the Quantum Optics Group at the National Institute of Standards and Technology (NIST), whose mission is the study and use of nonclassical light sources and detectors for application in absolute metrology, quantum enabled measurements, quantum information, and tests of fundamental physics. He and his group are also engaged in efforts aimed at advancing single-photon source, detector, and processing technologies for these applications. Migdall is a Fellow of the Joint Quantum Institute, a joint institute of the University of Maryland and NIST. Migdall is also a fellow of the American Physical Society and an adjunct professor at the University of Maryland. While he has a long list of publications, recent highlights of his work include the experimental demonstration of a coherent receiver with error rates below the standard quantum limit to a degree far exceeding any previous efforts, demonstration of topologically robust photonic states in an integrated Silicon photonics waveguide chip, tests of nonlocal realism alternatives to quantum mechanics using entangled two-photon light. Other work has involved the development of single photon light sources and the use of two-photon light for absolute measurements of the detection efficiency of single-photon detectors and verifying those results to the highest accuracy yet achieved. Another application in radiometry used two-photon light to determine spectral radiance in the infrared without requiring a calibrated detector or even one sensitive to the infrared. As a postdoctoral fellow at the National Bureau of Standards, as the field of laser cooling and trapping was getting off the ground, he was part of the team that achieved the first trapping of a neutral atom. Sergey V. Polyakov is a physicist in Quantum Measurement Division at the National Institute of Standards and Technology (NIST), whose mission is the study and use of quantum light sources and single-photon detectors for advancing novel, quantum-enabled measurements, quantum information, and tests of fundamental physics. Recently, Sergey has developed new characterization techniques for classical and non-classical light sources, which were successfully applied for an in-depth analysis of a range of optical sources: from quantum dots to parametric down-conversion single-photon sources, to faint lasers and thermal sources. He demonstrated indistinguishability of single photons generated by single photon sources of different nature. He also holds an accuracy record in comparing absolute calibrations of single-photon detectors using a quantum two-photon method and a more traditional radiant-power measurement and detector substitution method. As a postdoctoral fellow of California Institute of Technology, he contributed in development of early ensemble-based sources of single photons, and he co-authored first demonstration of entanglement in remote atomic ensembles, published by Nature. Jingyun Fan is a physicist affiliated with the National Institute of Standards and Technology and the Joint Quantum Institute of University of Maryland. He contributed to the early development of fiber-based photonic entanglement, which is now a standard tool as an alternative to spontaneous parametric down-conversion for quantum information processing tasks. His contributions to spontaneous parametric down-conversion include achieving a collection efficiency for a two-photon pair source that for the first time exceeds the threshold needed for a loop-hole free test of Bells inequality. His recent work in the field of quantum measurement science involves the demonstration of a number of strategically designed quantum measurement protocols that bridge the gap between quantum communication and coherent optical communication for the first time. His most recent work explores the interaction of light in complex photonic systems as a way to simulate a range of physical phenomena not easily accessible through other means. Joshua C. Bienfang is a member of the Quantum Optics Group at the National Institute of Standards and Technology (NIST), whose mission is the study non-classical light and detectors for use in absolute metrology, quantum-enabled measurements, quantum information, and tests of fundamental physics. Joshs recent work in single-photon detection systems has resulted in unprecedented efficiency and noise performance in fast gated detectors, and advances in fast quenching of Si devices to reduce afterpulsing. As an NRC post-doc, Josh conducted some of the earliest investigations of high-speed free-space quantum key distribution and demonstrated a scalable system with orders-of-magnitude improvement in speed over prior techniques. As a graduate student at the University of New Mexico, Josh studied laser frequency stabilization and nonlinear optics, and built a 20 W sodium-guidestar source for adaptive optics systems, the first high-power continuous-wave source of this kind.