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Related Experiment Videos

Displacement echoes: classical decay and quantum freeze.

Cyril Petitjean1, Diego V Bevilaqua, Eric J Heller

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

Physical Review Letters
|May 16, 2007
PubMed
Summary
This summary is machine-generated.

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We studied wave packet reconstruction fidelity after time-reversal operations. Quantum effects cause decay to freeze above ergodic values for small displacements, differing from classical predictions.

Area of Science:

  • Quantum mechanics
  • Statistical physics
  • Wave packet dynamics

Background:

  • Neutron scattering experiments motivate the study of wave packet dynamics.
  • Time-reversal operations are crucial for reconstructing quantum states.
  • Phase-space displacement introduces perturbations in quantum systems.

Purpose of the Study:

  • Investigate the fidelity decay of reconstructed wave packets.
  • Analyze the impact of phase-space displacement on time-reversal fidelity.
  • Explore the semiclassical limit and quantum effects on fidelity decay.

Main Methods:

  • Theoretical analysis in the semiclassical limit.
  • Derivation of fidelity decay rates.
  • Numerical simulations to corroborate analytical findings.

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Main Results:

  • Generic decay rate is given by the Lyapunov exponent of classical dynamics.
  • For small displacements, quantum effects cause decay to freeze above the ergodic value.
  • A short-time Lyapunov decay is followed by a quantum-induced plateau.

Conclusions:

  • Quantum mechanics introduces deviations from purely classical predictions in fidelity decay.
  • The interplay between classical chaos (Lyapunov exponent) and quantum effects is significant.
  • Understanding fidelity decay is crucial for quantum information processing and metrology.