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Stability of quantum breathers.

L S Schulman1, D Tolkunov, E Mihokova

  • 1Physics Department, Clarkson University, Potsdam, New York 13699-5820, USA. schulman@clarkson.edu

Physical Review Letters
|April 12, 2006
PubMed
Summary

A quantized discrete breather in a 1D lattice is proven stable using two novel methods. This finding advances the understanding of localized vibrations in solid-state physics.

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Area of Science:

  • Condensed matter physics
  • Quantum mechanics

Background:

  • Discrete breathers are localized vibrational modes in nonlinear lattices.
  • Understanding the stability of these breathers is crucial for solid-state physics.

Purpose of the Study:

  • To demonstrate the stability of a quantized discrete breather in a one-dimensional (1D) lattice.
  • To provide robust evidence for breather stability using complementary theoretical approaches.

Main Methods:

  • Path integral analysis comparing correlations of a local mode with the quantum breather.
  • Numerical, cutoff-insensitive diagonalization of the Hamiltonian using a local mode as the zeroth-order system.

Main Results:

  • Both path integral correlations and numerical diagonalization confirm the stability of the quantized discrete breather.
  • The methods provide consistent evidence, reinforcing the theoretical findings.

Conclusions:

  • The quantized discrete breather in a 1D lattice is stable.
  • The employed methods offer reliable tools for analyzing breather dynamics and stability in similar systems.

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