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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
Summary
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.
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.
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