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Related Experiment Videos

Environment-independent decoherence rate in classically chaotic systems.

R A Jalabert1, H M Pastawski

  • 1Université Louis Pasteur, IPCMS-GEMME, Strasbourg, France.

Physical Review Letters
|April 6, 2001
PubMed
Summary

We study quantum decoherence in chaotic systems. The Loschmidt echo decays exponentially at a rate determined by the classical Lyapunov exponent, independent of environmental perturbation strength.

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Area of Science:

  • Quantum mechanics
  • Chaos theory
  • Statistical physics

Background:

  • Decoherence describes the loss of quantum properties due to environmental interactions.
  • Chaotic systems exhibit sensitive dependence on initial conditions.
  • The Loschmidt echo measures the fidelity of quantum evolution after time reversal.

Purpose of the Study:

  • To analytically investigate the decoherence of a one-particle chaotic system coupled to a quenched environment.
  • To determine the decoherence rate by evaluating the Loschmidt echo.

Main Methods:

  • Analytical evaluation of the Loschmidt echo.
  • Considering a one-particle system with a chaotic classical correspondent.
  • Modeling coupling to a weak quenched environment.

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Main Results:

  • Predicted exponential decay for the Loschmidt echo.
  • The decoherence rate is asymptotically given by the mean Lyapunov exponent of the classical system.
  • The rate is independent of perturbation strength within a specific range.

Conclusions:

  • The study provides an analytical prediction for decoherence in chaotic quantum systems.
  • Results align with experimental observations in nuclear magnetic resonance and numerical simulations.
  • The Lyapunov exponent governs decoherence rates in this regime.