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Summary
This summary is machine-generated.

Heating the Hubbard model to infinite temperature creates unique steady states with long-range correlations. These quantum correlations emerge due to system symmetries, independent of specific heating methods or microscopic details.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Mechanics
  • Statistical Mechanics

Background:

  • The Hubbard model is a fundamental model in condensed matter physics describing interacting electrons in a lattice.
  • Understanding the behavior of quantum systems at high temperatures, particularly in non-equilibrium steady states, is crucial for developing new quantum technologies.
  • Long-range correlations are key features in many exotic quantum phases of matter, including superconductivity.

Purpose of the Study:

  • To investigate the emergence of long-range correlations in the Hubbard model when its spin degrees of freedom are heated to infinite temperature.
  • To explore whether these correlations are dependent on the specific mechanism used to induce heating (dissipation or periodic driving).
  • To connect these findings to previously identified superconducting eigenstates.

Main Methods:

  • Simulating the Hubbard model under conditions of infinite temperature heating.
  • Employing both dissipative and periodic driving methods to induce heating.
  • Analyzing the resulting non-equilibrium steady states for the presence of long-range correlations.

Main Results:

  • Heating the spin degrees of freedom to infinite temperature leads to the creation of steady states with long-range correlations between eta pairs.
  • These steady states are achieved through either dissipation or periodic driving, melting all spin order.
  • The emergent steady state exhibits distance-invariant off-diagonal eta correlations, consistent with Yang's superconducting eigenstates.

Conclusions:

  • The observed long-range correlations are a universal consequence of the system's symmetries, not specific microscopic details.
  • The findings demonstrate a general mechanism for creating exotic quantum states in driven or dissipative systems.
  • This work provides a new perspective on non-equilibrium quantum phenomena and their relation to fundamental symmetries.