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A Photonic System for Generating Unconditional Polarization-Entangled Photons Based on Multiple Quantum Interference
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Published on: September 5, 2019

Orthogonality catastrophe in quantum sticking.

Dennis P Clougherty1, Yanting Zhang

  • 1Department of Physics, University of Vermont, Burlington, 05405-0125, USA. dpc@physics.uvm.edu

Physical Review Letters
|September 26, 2012
PubMed
Summary
This summary is machine-generated.

The orthogonality catastrophe significantly impacts ultralow energy atom and ion sticking to surfaces, leading to new energy-dependent scaling laws. This phenomenon creates a superreflective surface phase for matter waves, where reflection is total below a critical energy.

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Area of Science:

  • Surface Science
  • Quantum Mechanics
  • Atomic and Molecular Physics

Background:

  • The sticking of ultralow energy atoms and ions to surfaces is crucial in various physical and chemical processes.
  • Existing theories, like perturbation theory, may not accurately capture sticking probabilities in the ultralow energy regime.
  • The orthogonality catastrophe is a quantum mechanical effect that can influence interactions between particles and surfaces.

Purpose of the Study:

  • To investigate the effect of the orthogonality catastrophe on the sticking probability of ultralow energy atoms and ions.
  • To develop and present new energy-dependent scaling laws for sticking probability in this low-energy regime.
  • To explore the influence of finite surface temperatures on sticking and reflection phenomena.

Main Methods:

  • Development of a theoretical framework incorporating the orthogonality catastrophe for ultralow energy particle-surface interactions.
  • Numerical simulations of ultracold electrons sticking to porous silicon surfaces.
  • Generalization of the theory to include finite surface temperatures.

Main Results:

  • The orthogonality catastrophe significantly alters sticking probabilities compared to predictions from perturbation theory.
  • New energy-dependent scaling laws for sticking probability in the ultralow energy regime have been derived.
  • A temperature-dependent critical incident energy was identified, below which a 'superreflective' surface phase occurs (reflection coefficient = 1).

Conclusions:

  • The orthogonality catastrophe is a dominant factor governing ultralow energy particle sticking to surfaces.
  • The predicted scaling laws and the superreflective surface phase offer new insights into quantum-surface interactions.
  • These findings have implications for understanding and controlling matter wave reflection and surface interactions at low energies.