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¹H NMR: Long-Range Coupling01:27

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The coupling interactions of nuclei across four or more bonds are usually weak, with J values less than 1 Hz. While these are usually not observed in spectra, the presence of multiple bonds along the coupling pathway can result in observable long-range coupling.
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A system is linear if it displays the characteristics of homogeneity and additivity, together termed the superposition property. This principle is fundamental in all linear systems. Linear time-invariant (LTI) systems include systems with linear elements and constant parameters.
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Linearity is a system property characterized by a direct input-output relationship, combining homogeneity and additivity.
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Long-Range Interacting Systems Are Locally Noninteracting.

Robert Mattes1, Igor Lesanovsky1,2, Federico Carollo3

  • 1Universität Tübingen, Institut für Theoretische Physik and Center for Integrated Quantum Science and Technology, Auf der Morgenstelle 14, 72076 Tübingen, Germany.

Physical Review Letters
|March 7, 2025
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Summary
This summary is machine-generated.

Long-range interacting quantum systems exhibit emergent noninteracting behavior in the strong regime. Local properties are described by an independent evolution, preventing correlation generation and impacting thermalization.

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Area of Science:

  • Quantum Many-Body Physics
  • Open Quantum Systems

Background:

  • Long-range interacting systems display unique physics like nonlinear information propagation.
  • Novel phenomena arise in these systems compared to short-range counterparts.

Purpose of the Study:

  • Investigate generic long-range open quantum systems in the strong regime.
  • Analyze local properties and dynamics in arbitrary dimensions.

Main Methods:

  • Focus on the thermodynamic limit.
  • Analyze reduced quantum states to capture local properties.

Main Results:

  • Proved emergent noninteracting theory for local properties.
  • Demonstrated dynamics factorization and independent constituent evolution.
  • Showed no correlation generation over time in the strong long-range regime.

Conclusions:

  • Long-range interacting systems are locally noninteracting.
  • Implications for relaxation, quasistationary states, and absence of thermalization.