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Related Experiment Videos

Quantum reversibility: is there an echo?

Moritz Hiller1, Tsampikos Kottos, Doron Cohen

  • 1Max-Planck-Institut für Strömungsforschung und Fakultät Physik der Universität Göttingen, Bunsenstrasse 10, D-37073 Göttingen, Germany.

Physical Review Letters
|February 3, 2004
PubMed
Summary
This summary is machine-generated.

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Quantum evolution can be reversed, but maximum return probability occurs sooner than expected. The optimal time depends on the ratio of evolution errors to preparation perturbations, observable in spin-echo experiments.

Area of Science:

  • Quantum mechanics
  • Quantum information
  • Quantum dynamics

Background:

  • The Loschmidt echo measures the fidelity of reversing quantum evolution.
  • A common assumption is that maximum echo occurs when reversed evolution time equals forward evolution time.

Purpose of the Study:

  • To investigate the time required for maximum return probability in quantum time reversal experiments.
  • To challenge the conventional understanding of Loschmidt echo.
  • To identify factors influencing the optimal time for quantum state reversal.

Main Methods:

  • Theoretical analysis of quantum mechanical evolution.
  • Derivation of the time for maximum return probability.
  • Analysis of the dependence on system parameters and perturbations.

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Main Results:

  • The time for maximum return probability, t(r), is generally shorter than the forward evolution time.
  • t(r) is dependent on the ratio lambda = epsilon(evol)/epsilon(prep).
  • Lambda represents the ratio of parameter setting errors in reversed evolution to preparation perturbations.

Conclusions:

  • The naive expectation for maximum Loschmidt echo is incorrect.
  • Optimal quantum state reversal time is influenced by experimental parameter precision.
  • Findings are experimentally verifiable using spin-echo techniques to measure quantum phase irreversibility.