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Area of Science:

  • Condensed matter physics
  • Quantum information science

Background:

  • Quantum critical points (QCPs) involve interplay between quantum and thermal fluctuations.
  • Understanding this interplay is key for strongly correlated systems.

Purpose of the Study:

  • Investigate quantum-thermal fluctuation interplay using quantum information theory.
  • Present a universal phase diagram for quantum Fisher information (QFI) at quantum phase transitions (QPTs).

Main Methods:

  • Developed a quantum information perspective to analyze QPTs.
  • Defined regions in the QFI phase diagram by scaling laws with temperature.
  • Analyzed paradigmatic spin and free-fermion models.

Main Results:

  • Identified universal scaling laws for QFI with temperature.
  • Demonstrated consequences for thermal robustness of quantum coherence and multipartite entanglement.
  • Showed topological systems preserve large multipartite entanglement up to the Heisenberg limit at finite temperatures.

Conclusions:

  • The QFI phase diagram provides a universal framework for QPTs.
  • Topological systems exhibit enhanced thermal robustness of entanglement.
  • Findings impact quantum technologies and understanding of quantum matter.