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Semiclassical Approach to Quantum Fisher Information.

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This summary is machine-generated.

Quantum sensors achieve enhanced sensitivity in the quantum chaotic regime. A new semiclassical method efficiently accesses quantum Fisher information (QFI), revealing sensitivity depends on classical dynamics variance.

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Area of Science:

  • Quantum physics
  • Quantum chaos
  • Quantum sensing

Background:

  • Quantum chaotic systems offer enhanced sensitivity for quantum sensors.
  • Sensitivity is intricately linked to the classical phase space details.
  • Quantifying ultimate sensitivity requires understanding quantum Fisher information (QFI).

Purpose of the Study:

  • To develop an accurate semiclassical approach for accessing phase-space-resolved QFI.
  • To establish a direct link between QFI and classical dynamical quantities.
  • To demonstrate the method's applicability and accuracy in quantum chaos systems.

Main Methods:

  • Development of a novel semiclassical approximation.
  • Calculation of phase-space-resolved quantum Fisher information (QFI).
  • Application to the kicked top model, a paradigmatic quantum chaos system.

Main Results:

  • The semiclassical approach provides efficient access to phase-space-resolved QFI.
  • High QFI is correlated with large variance in a specific dynamical quantity.
  • The method shows high accuracy for modest quantum numbers, deep in the quantum regime.

Conclusions:

  • The developed semiclassical method accurately predicts quantum sensor sensitivity.
  • It reveals a clear connection between quantum sensitivity and classical phase space dynamics.
  • The approach is scalable to very high quantum numbers, surpassing limitations of other methods.