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Entanglement sum rules.

Brian Swingle1

  • 1Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA.

Physical Review Letters
|August 29, 2014
PubMed
Summary
This summary is machine-generated.

We discovered an entanglement sum rule for systems with matter coupled to gauge fields. This rule shows the total entanglement entropy equals the sum of component entropies, simplifying calculations for various quantum phases.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Theory

Background:

  • Entanglement entropy quantifies quantum correlations in many-body systems.
  • Understanding entanglement in systems with gauge fields is crucial for diverse quantum phases.

Purpose of the Study:

  • To compute entanglement entropy for models of matter coupled to gauge fields.
  • To establish a general entanglement sum rule for such systems.

Main Methods:

  • Development of a novel proof for entanglement entropy additivity.
  • Extension of previous methods to include zero-temperature and finite-temperature regimes.

Main Results:

  • An exact entanglement sum rule: the total entropy is the sum of component entropies.
  • The rule applies to universal terms in entanglement entropy.
  • Demonstration of log violation of the area law for interacting Fermi liquids.

Conclusions:

  • The entanglement sum rule provides a powerful tool for analyzing complex quantum systems.
  • The findings are applicable to various phases, including Fermi liquids and spin liquids.
  • The work simplifies and extends previous theoretical understanding of entanglement entropy.