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Area of Science:

  • Condensed Matter Physics
  • Quantum Many-Body Theory

Background:

  • Superfluid stiffness is crucial for superconductor transition temperatures, particularly in strongly coupled regimes.
  • Accurately calculating this quantum many-body property in microscopic models is challenging.

Purpose of the Study:

  • To demonstrate the utility of the quantum many-body bootstrap, specifically the reduced density matrix (RDM) bootstrap, for deriving rigorous lower bounds on superfluid stiffness.
  • To apply this framework to frustration-free interacting models with superconducting ground states.

Main Methods:

  • Utilized the quantum many-body bootstrap framework, focusing on the reduced density matrix (RDM) bootstrap.
  • Numerically applied the method to quantum geometric nesting models, a class of frustration-free models relevant to flatband superconductivity.

Main Results:

  • Obtained rigorous lower bounds on superfluid stiffness in specific models.
  • Discovered a general relationship between stiffness and pair mass in flatband superconductors.
  • Showed that additional interactions, like magnetic couplings, can enhance superfluid stiffness beyond the standard Hubbard model.

Conclusions:

  • The quantum many-body bootstrap is a powerful tool for deriving rigorous bounds on physical quantities in many-body systems.
  • The RDM bootstrap offers a viable approach to study superfluid stiffness and related properties in complex superconducting models.