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Surface diffusion within the Caldeira-Leggett formalism.

E E Torres-Miyares1, G Rojas-Lorenzo2, J Rubayo-Soneira2

  • 1Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas, Serrano 123, 28006 Madrid, Spain. elena.torres@iff.csic.es.

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Summary
This summary is machine-generated.

Surface diffusion dynamics were analyzed using the intermediate scattering function. The study explores decoherence effects on quantum states and particle behavior on surfaces, comparing analytical and numerical methods.

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Area of Science:

  • Quantum mechanics
  • Surface science
  • Statistical physics

Background:

  • Surface diffusion is crucial for processes like thin-film growth and catalysis.
  • Understanding quantum effects on surface dynamics is essential for nanoscale applications.
  • Decoherence significantly impacts quantum systems, especially at interfaces.

Purpose of the Study:

  • To analyze surface diffusion using the intermediate scattering function across different time regimes.
  • To investigate decoherence phenomena in open quantum dynamics on surfaces.
  • To compare analytical and numerical methods for studying surface diffusion of quantum states.

Main Methods:

  • Utilized the master equation for the reduced density matrix within the Caldeira-Leggett formalism.
  • Analyzed ballistic and Brownian (diffusive) time regimes.
  • Employed the stochastic wave function method to solve the Lindblad master equation for numerical analysis.

Main Results:

  • Characterized decoherence magnitudes like coherence length, ensemble width, and purity.
  • Investigated surface diffusion for Schrödinger cat states and identical adsorbates (bosons and fermions).
  • Extended analytical and numerical findings to corrugated surfaces.

Conclusions:

  • The study provides a comprehensive framework for understanding surface diffusion under decoherence.
  • Both analytical and numerical approaches yield consistent results for flat and corrugated surfaces.
  • The findings are applicable to quantum phenomena involving adsorbates on surfaces.