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Understanding Hanbury Brown-Twiss Interferometry

May 2, 2025

The Physics of Hanbury Brown-Twiss Intensity Interferometry: From Stars to Nuclear Collisions

Author

  • Gordon Baym
    • Department of Physics, University of Illinois at Urbana-Champaign

Overview

  • Hanbury Brown-Twiss (HBT) interferometry was developed in the 1950s to measure angular sizes of astronomical objects using correlations of signal intensities.
  • It revealed quantum bunching of photons, contributing to quantum optics.
  • The technique is applied in high-energy nuclear and particle collisions to study space-time geometry and wave mechanics of particles.

Introduction to HBT

  • HBT measures two identical particle correlations in particle and heavy-ion collisions.
  • Provides insights into the geometry of the collision volume.
  • Illustrated with correlation functions for particle collisions.
    • Data from NA44 and E877 experiments.

Physics of HBT Interferometry

  • Relies on intensity rather than amplitude comparison.
  • Measures correlations between intensities in independent detectors.
  • Applies to both astronomical and high-energy physics contexts, with variations in application.
    • Quantum mechanics play a critical role.

Historical Context

  • Developed post-WWII, leveraging radar technology.
  • Enabled measurement of radio star sizes.
  • Transitioned from classical to quantum understanding.
  • Demonstrated with tabletop experiments showing photon bunching.

Basic Model of HBT

  • Differentiates from amplitude interferometry by correlating intensity at different points.
  • Uses a model with two random point sources and two detectors to explain principles.
  • Correlation functions are Fourier transforms of source distributions.
  • Important distinctions between astronomical and high-energy applications.

Quantum Mechanics of HBT

  • Quantum mechanics explains the correlation of particles as a result of wave mechanics.
  • Involves multiparticle correlations sensitive to wave function symmetries.
  • Provides insights into wave packets and detection processes.

Detector Response and Secondary Scattering

  • Describes how particles in wave packet states are detected.
  • Secondary scattering effects in targets and media like air affect measurements.
  • Corrections necessary for accurate interpretation.

Applications and Challenges

  • Expanded to atomic and condensed matter physics.
  • Challenges include Coulomb interactions, coherence, and scattering effects.
  • Accurate interpretation requires understanding various uncertainties.

Conclusion

  • HBT interferometry remains a valuable tool across multiple physics domains.
  • Ongoing research to refine techniques and address challenges in interpretation.