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Out-of-time-order correlators bridge classical transport and quantum dynamics.

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We measured the out-of-time-order correlator (OTOC) in a classical system using nuclear magnetic resonance. This technique tracks proton motion and entropy evolution in metal-organic frameworks, mirroring quantum system behaviors.

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Area of Science:

  • Quantum Information Science
  • Materials Science
  • Chemical Physics

Background:

  • The out-of-time-order correlator (OTOC) is crucial for quantifying decoherence in quantum systems.
  • Classical systems offer alternative platforms for studying quantum phenomena.
  • Metal-organic frameworks (MOFs) provide confined environments for studying particle dynamics.

Purpose of the Study:

  • To demonstrate the direct measurement of OTOCs in a classical ensemble using nuclear magnetic resonance (NMR).
  • To extend NMR methods for multidimensional correlation to track exchange phenomena.
  • To investigate proton motion and entropy evolution within the MOF-808 framework.

Main Methods:

  • Utilized a modulated gradient spin echo sequence in NMR for OTOC measurement.
  • Employed magnetic field gradients to encode position and velocity autocorrelation for momentum.
  • Applied periodic radio frequency driving and gradient modulation to study entropy evolution.

Main Results:

  • Successfully measured OTOCs for proton motion in the MOF-808 lattice.
  • Identified distinct diffusive eigenmodes and their relative entropies for confined water.
  • Observed entropy evolution linked to the selection of specific diffusion modes.

Conclusions:

  • NMR enables direct OTOC measurement in classical ensembles, providing insights into decoherence.
  • Proton motion in MOFs exhibits spatially distinct diffusive behaviors.
  • Classical heat exchange laws are mirrored in the entropy dynamics of confined spin ensembles, offering a classical analogue to quantum system behaviors.