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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • Decoherence explains the transition from quantum to classical behavior.
  • Understanding decoherence in isolated quantum systems is key to quantum physics.
  • The role of system dynamics in decoherence remains an active research area.

Purpose of the Study:

  • To investigate the impact of different system natures (chaotic, interacting integrable, noninteracting integrable) on decoherence.
  • To analyze decoherence of coarse spin observables in isolated Heisenberg chains.
  • To explore the relationship between system chaoticity and the emergence of classicality.

Main Methods:

  • Exact numerical integration of the Schrödinger equation for a Heisenberg chain.
  • Analysis of decoherence using finite size scaling laws.
  • Examination of multitime properties of quantum histories.

Main Results:

  • Chaotic systems exhibit strong exponential suppression of coherences.
  • Interacting integrable systems show weak exponential suppression, potentially with power-law decay at equilibrium.
  • Noninteracting integrable systems display no exponential suppression on relevant timescales.
  • Decoherence behavior differs significantly across system types and timescales.

Conclusions:

  • System chaoticity is a crucial factor in the emergence of classicality in finite quantum systems.
  • Decoherence in isolated systems is driven by internal dynamics, not environmental interactions.
  • The findings offer insights into quantum-to-classical transitions in diverse physical scenarios.