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Local Entanglement Entropy and Mutual Information across the Mott Transition in the Two-Dimensional Hubbard Model.

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Quantum entanglement and information measures reveal details about the Mott transition in many-body systems. These tools accurately detect the transition

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Area of Science:

  • Condensed Matter Physics
  • Quantum Information Theory
  • Cold Atom Experiments

Background:

  • Quantum entanglement and information are crucial for understanding many-body systems.
  • Cold atom experiments can now measure these information-theoretic quantities.
  • The Mott transition is a key phenomenon in condensed matter physics.

Purpose of the Study:

  • To investigate the Mott transition in the half-filled 2D Hubbard model.
  • To utilize entanglement entropy and total mutual information as probes.
  • To connect theoretical findings with recent cold atom experimental capabilities.

Main Methods:

  • Cellular Dynamical Mean-Field Theory (CDMFT) was employed.
  • Analysis focused on entanglement entropy.
  • Analysis focused on total mutual information, a measure of quantum correlations.

Main Results:

  • Entanglement entropy and total mutual information successfully detected the first-order nature of the Mott transition.
  • These measures identified the universality class of the transition's endpoint.
  • The crossover emanating from the endpoint was also characterized.

Conclusions:

  • Entanglement and information measures are effective tools for studying phase transitions.
  • The findings provide insights into the Mott transition and its associated phenomena.
  • This work bridges theoretical models with experimental observations in cold atom systems.