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Updated: May 7, 2025

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Entanglement microscopy and tomography in many-body systems.

Ting-Tung Wang1, Menghan Song1, Liuke Lyu2

  • 1Department of Physics and HK Institute of Quantum Science & Technology, The University of Hong Kong, Hong Kong, Hong Kong.

Nature Communications
|January 2, 2025
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Summary
This summary is machine-generated.

Entanglement microscopy reveals multipartite entanglement in quantum matter. This method studied quantum critical points, finding short-range entanglement in the Ising model and power-law decay near a Dirac fermion transition.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics
  • Many-Body Physics

Background:

  • Quantum entanglement is key to understanding quantum matter.
  • Characterizing entanglement in complex many-body systems remains a challenge.

Purpose of the Study:

  • To develop and apply a novel protocol, entanglement microscopy, for revealing multipartite entanglement.
  • To investigate the entanglement structure near quantum critical points (QCPs) in 2D spin and fermionic systems.

Main Methods:

  • Entanglement microscopy protocol applied to the reduced density matrix of microscopic subregions.
  • Analysis of the transverse field Ising model and a Gross-Neveu-Yukawa transition of Dirac fermions.

Main Results:

  • Ising QCP shows short-range entanglement with sudden death in space and temperature.
  • Gross-Neveu QCP exhibits power-law decaying fermionic entanglement consistent with conformal field theory (CFT) exponents.
  • No detectable tripartite entanglement was found near the 2D Ising QCP, unlike in 1D.

Conclusions:

  • Entanglement microscopy is effective for characterizing multipartite entanglement in quantum critical systems.
  • The study provides insights into the nature of entanglement at different types of QCPs.
  • General scaling of multipartite entanglement measures at criticality was established.