Quantum Astronomy#
I am writing this book because I want to learn quantum astronomy.
This web edition is generated from the English LaTeX manuscript. Figures are rendered as PNG images for direct viewing in the browser. The PDF editions remain available from the GitHub release page.
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Front Matter
I. Foundations, Definitions, and Observables
- Mathematical and Physical Foundations
- From Event Tables to Observables
- Complex Amplitude, Phase, and Interference
- Fourier Visibility and Sky Brightness
- Photon Counting Distributions and Factorial Moments
- Covariance, HBT Correlations, and Noise
- Matrices, Polarization, and Instrument Response
- States, Density Matrices, and Photodetection
- Likelihood Functions and Fisher Information
- Order-of-Magnitude Toolkit
- Common Relations and Exercises
- Why quantum astronomy is needed
- Conventional astronomy compresses the event table into mean quantities
- Equal mean intensity does not imply equal joint probability
- Thermal light, coherent light, and multimode dilution
- From HBT to Narrabri
- Why the field faded, and why it came back
- A working definition: what counts as quantum astronomy
- First-generation science cases
- Exercises
- Foundations of quantum optics
- Modes, photons, and the field received by a telescope
- Fock, coherent, thermal, and squeezed states
- Phase space, density matrices, and discarded degrees of freedom
- Photodetection: from field operators to clicks
- The astronomical weak-light limit and useful scales
- Nonclassical boundaries, masers, and natural lasers
- Exercises and computational project
- Photon statistics and coherence functions
- From event tables to counts and factorial moments
- First-order and second-order coherence
- Mandel \(Q\), thermal light, multimode light, and antibunching
- The Siegert relation and its boundaries
- Finite timing response, bandwidth, and event-table estimators
- Higher-order, frequency-resolved, and polarization-resolved correlations
II. Instruments, Intensity Interferometry, and Information Limits
III. The Quantum Language of Astrophysical Light
- The quantum language of astrophysical radiation mechanisms
- Stars as quantum light sources
- White dwarfs, neutron stars, and strong-field physics
- White dwarfs: how electron degeneracy pressure becomes a measured radius
- Accreting and magnetic white dwarfs: phase, polarization, and flickering
- Neutron stars: light cylinders, phase, and Crab event tables
- Strong-field polarization: from Stokes parameters to vacuum birefringence
- Hot spots, light bending, and radius constraints
- Black holes, accretion disks, and photon rings
- Black-hole scales: mass, distance, and the basic coordinates of the event table
- Accretion-disk continua and stochastic variability
- Broad-line regions: combining time delays and angular offsets
- Jets and polarization: magnetic-field geometry in photon statistics
- Photon rings: images, visibilities, and time structure
- Hawking temperature and boundaries on new physics
- Explosions, transients, and multi-messenger quantum astronomy
IV. Propagation, Cosmology, New Physics, and Quantum Networks
- Propagation effects: plasma, dust, and gravitational lensing
- Dark matter, axions, and polarization quantum channels
- Quantum questions in cosmology
- Quantum network telescopes
- Why traditional optical beam combination stalls at baseline
- How preshared entanglement replaces transporting starlight
- Resource rates, storage time, and fidelity
- Continuous variables, single-photon assistance, and resolution limits
- Experimental prototypes and error budgets
- Complementarity with intensity interferometry
V. Observing Design, Case Studies, Teaching, and Roadmap
- Observing design, error budgets, and feasibility calculations
- First-generation quantum-astronomy science cases
- Teaching experiments and computational experiments
- Common pitfalls
- Seeing photons is not the same as doing quantum astronomy
- \(g^{(2)}=1\) is not a sufficient criterion
- Intensity interferometry still needs calibration
- Missing phase does not mean imaging is impossible
- Quantum superresolution cannot break diffraction arbitrarily
- Astrophysical lasers, masers, and non-Poisson statistics
- False alarms and the boundary of new physics
- From white paper to research plan
Appendices
- Index of Frequently Used Formulas
- Common Units and Numerical Scales
- Glossary
- Reading Routes and Validity Boundaries for Core Relations
- Guide to the Example Computational Code
- Suggested 14-Week Course Plan
- Reading Guide
- Classic Starting Points
- The Modern Revival of Intensity Interferometry
- Detectors, Timing, and Event Tables
- Quantum Estimation and Sub-Resolution Measurements
- Astrophysical Radiation Mechanisms and Source Models
- Propagation, Lensing, Polarization, and Cosmology
- Science Cases and Long-Term Networks
- Template for Reading Papers
- Bibliography