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Polaronic correlations from optimized ancilla wave functions for the Fermi-Hubbard model.

Tobias Müller1,2, Ronny Thomale1,3, Subir Sachdev4

  • 1Lehrstuhl für Theoretische Physik I, Institut für Theoretische Physik und Astrophysik and Würzburg-Dresden Cluster of Excellence ct.qmat, Julius-Maximilians-Universität Würzburg, Würzburg 97074, Germany.

Proceedings of the National Academy of Sciences of the United States of America
|May 16, 2025
PubMed
Summary

This study uses variational wave functions to model polaronic correlations in a hole-doped Fermi-Hubbard model. The findings show good agreement with quantum simulator data, capturing a key crossover in electronic behavior.

Keywords:
cupratespseudogapspin liquidvariational wave functions

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Area of Science:

  • Condensed Matter Physics
  • Quantum Simulation
  • Strongly Correlated Systems

Background:

  • The pseudogap metal phase in strongly correlated electron systems presents complex electronic behavior.
  • Understanding polaronic correlations is crucial for describing emergent phenomena in materials.

Purpose of the Study:

  • To model polaronic correlations in the pseudogap metal phase of a hole-doped 2D Fermi-Hubbard model.
  • To compare theoretical predictions with experimental data from ultracold atom quantum simulators.

Main Methods:

  • Employing a family of ancilla qubit variational wave functions.
  • Analyzing the 2D Fermi-Hubbard model across a range of hole-doping concentrations.
  • Comparing theoretical results with quantum simulation data.

Main Results:

  • Demonstrated qualitative and quantitative agreement between theoretical modeling and quantum simulator data.
  • Successfully described polaronic correlations from half-filling up to 80% hole-doping.
  • Captured the observed crossover from a polaronic regime to a Fermi liquid around 40% doping.

Conclusions:

  • Ancilla qubit variational wave functions provide an effective description of polaronic correlations.
  • The study validates the use of quantum simulators for investigating complex condensed matter models.
  • The findings offer insights into the electronic phase transitions in doped Mott insulators.