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Quantum reversibility and echoes in interacting systems.

C Petitjean1, Ph Jacquod

  • 1Département de Physique Théorique, Université de Genève, CH-1211 Genèva 4, Switzerland.

Physical Review Letters
|October 10, 2006
PubMed
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Imperfect time-reversal experiments reveal that partial fidelity, or the Boltzmann echo, saturates at the decoherence rate. This occurs as time-reversal accuracy improves, impacting controlled quantum systems.

Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Physical chemistry

Background:

  • Echo experiments involve imperfect time-reversal operations on a system's degrees of freedom.
  • Understanding the physics of partial time reversal is crucial for interpreting experimental results.

Purpose of the Study:

  • To introduce and analyze a "partial fidelity" measure, termed the Boltzmann echo (M(B)(t)).
  • To capture the physics of echo experiments where only a subset of degrees of freedom are time-reversed.

Main Methods:

  • A semiclassical calculation of the Boltzmann echo (M(B)(t)) was performed.
  • The study analyzed the behavior of M(B)(t) as the accuracy of the time-reversal operation varied.

Main Results:

Related Experiment Videos

  • The decay rate of the Boltzmann echo (M(B)(t)) saturates as time-reversal accuracy increases.
  • The saturation value of the decay rate is determined by the decoherence rate of controlled degrees of freedom.
  • This decoherence arises from the coupling between controlled and uncontrolled system components.

    • Conclusions:

    • The Boltzmann echo provides a framework for understanding partial time-reversal in quantum systems.
    • The findings connect theoretical calculations with experimental observations in Nuclear Magnetic Resonance (NMR) spin echo experiments.