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Quantum Correlations, Separability, and Quantum Coherence Length in Equilibrium Many-Body Systems.

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Quantum nonlocality in mixed states reveals stronger correlations than classical probability. A finite quantum coherence length, distinct from correlation length, quantifies this unique quantum spatial structure.

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Area of Science:

  • Quantum physics
  • Condensed matter theory

Background:

  • Nonlocality is a key feature of quantum many-body systems, affecting both pure and mixed states.
  • Quantum correlations in mixed states exceed classical probability limits.

Purpose of the Study:

  • To build two-point quantum correlation functions for equilibrium mixed states.
  • To characterize quantum correlations and nonlocality at finite temperatures.

Main Methods:

  • Explicit construction of two-point quantum correlation functions.
  • Numerical analysis of quantum correlation functions and coherence length.

Main Results:

  • Developed correlation functions directly accessible through experiments.
  • Demonstrated that nonvanishing correlation functions rule out specific forms of separability.
  • Identified a finite quantum coherence length, independent of system correlation length.

Conclusions:

  • Quantum coherence length provides a novel measure of nonlocality in mixed states.
  • This length scale reveals unique spatial structures of quantum correlations, even when classical correlations diverge.