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Interference is a characteristic phenomenon exhibited by waves. When two electromagnetic waves interact with their peaks and troughs coinciding, a resulting wave with enhanced amplitude is produced. This is known as constructive interference. In this case, the two waves interacting are in phase with each other.
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Chaotic decoherence under finite resolution: Lyapunov-controlled interference suppression.

S Stewart1, S Ismail-Sutton2

  • 1Independent Researcher, Laguna Beach, California 92651, USA.

Chaos (Woodbury, N.Y.)
|July 8, 2026
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Quantum systems with chaotic classical limits exhibit decoherence-like behavior due to finite resolution, not external environments. This operational suppression arises from chaotic phase-space transport affecting Wigner-function interference fringes.

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Area of Science:

  • Quantum Mechanics
  • Chaos Theory
  • Statistical Physics

Background:

  • Quantum systems can exhibit decoherence-like effects.
  • Classical chaos in quantum systems is a complex phenomenon.
  • Finite resolution in observations can impact quantum descriptions.

Purpose of the Study:

  • To investigate a novel mechanism for decoherence-like behavior in chaotic quantum systems.
  • To explore the role of finite phase-space resolution in this mechanism.
  • To differentiate this effect from environment-induced decoherence.

Main Methods:

  • Modeling finite phase-space resolution using Gaussian coarse-graining.
  • Analyzing chaotic phase-space transport of Wigner-function interference fringes.
  • Utilizing hyperbolic cat-map examples for illustration.

Main Results:

  • Finite resolution leads to exponential attenuation of interference components below the resolution scale.
  • The quantum state remains pure; suppression is operational, not objective.
  • Instability scale is determined by Lyapunov exponents; suppression factor by fringe geometry.

Conclusions:

  • A finite-resolution mechanism explains decoherence-like behavior in chaotic quantum systems without external environments.
  • The suppression is dependent on initial fringe geometry and coarse-graining resolution.
  • This provides a new perspective on quantum chaos and measurement.