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Avoided Crossing and sub-Fourier-sensitivity in Driven Quantum Systems.

David Cubero1, Gordon R M Robb2, Ferruccio Renzoni3

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Nonlinear quantum systems can surpass the Fourier limit for sensitivity. This study reveals a mechanism using avoided crossings in Floquet states, enabling sub-Fourier behavior and ultra-fine feature detection.

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Area of Science:

  • Quantum physics
  • Nonlinear dynamics

Background:

  • Linear systems are bound by the Fourier limit, where system bandwidth is inversely related to interaction time.
  • Nonlinear systems can exhibit behavior that transcends this fundamental limit, known as sub-Fourier behavior.

Purpose of the Study:

  • To identify a mechanism enabling sub-Fourier sensitivity in driven quantum systems.
  • To demonstrate the potential for significantly enhanced resolution beyond classical limits.

Main Methods:

  • Investigated driven quantum systems exhibiting nonlinear responses.
  • Utilized the phenomenon of avoided crossing between Floquet states.

Main Results:

  • Identified a specific mechanism for achieving sub-Fourier sensitivity in quantum systems.
  • Demonstrated the ability to resolve features up to three orders of magnitude finer than the Fourier limit.

Conclusions:

  • Avoided crossings in Floquet states provide a pathway to overcome the Fourier limit in quantum systems.
  • This mechanism offers unprecedented sensitivity for detecting fine features in quantum measurements.