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Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
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Entanglement Renyi Negativity across a Finite Temperature Transition: A Monte Carlo Study.

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Finite temperature phase transitions do not support long-range quantum entanglement. Quantum Monte Carlo simulations reveal short-range entanglement at critical points, even with diverging correlation lengths.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Theory

Background:

  • Quantum entanglement is crucial for quantum information processing but is sensitive to thermal noise.
  • The behavior of entanglement during finite-temperature phase transitions remains an open question, particularly concerning long-range entanglement.

Purpose of the Study:

  • To investigate the nature of mixed-state entanglement across a finite-temperature phase transition.
  • To utilize the third Renyi negativity as a measure of entanglement in the 2D transverse field Ising model.

Main Methods:

  • Employing quantum Monte Carlo simulations to analyze the 2D transverse field Ising model.
  • Calculating the third Renyi negativity as a proxy for mixed-state entanglement.
  • Comparing results with exactly solvable models.

Main Results:

  • The area-law coefficient of Renyi negativity exhibits a singularity at the critical point.
  • The subleading constant of Renyi negativity is found to be zero within statistical error.
  • Entanglement is confirmed to be short-range at the critical temperature, despite a divergent correlation length.

Conclusions:

  • Finite temperature phase transitions in the studied model do not support long-range entanglement.
  • The third Renyi negativity serves as an effective indicator of entanglement properties in mixed states.
  • The findings provide insights into the interplay between thermal fluctuations and quantum entanglement.