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Area of Science:

  • Quantum many-body physics
  • Statistical mechanics
  • Condensed matter theory

Background:

  • Generalized hydrodynamics is a recent theory for large-scale transport in 1D integrable models.
  • A key principle is the quantum-classical correspondence for conserved quantities.
  • This correspondence suggests quasiclassical behavior even in interacting quantum systems.

Purpose of the Study:

  • To provide the algebraic foundation for the quantum-classical correspondence in generalized hydrodynamics.
  • To embed current operators of integrable spin chains within the Yang-Baxter integrability framework.
  • To demonstrate the broad applicability of this construction across diverse models.

Main Methods:

  • Embedding current operators into the canonical framework of Yang-Baxter integrability.
  • Utilizing algebraic methods to analyze conserved quantities.
  • Applying the construction to specific models like XXZ and Hubbard chains.

Main Results:

  • Established an algebraic framework for generalized hydrodynamics.
  • Demonstrated the quasiclassical nature of conserved quantity flows in interacting quantum many-body models.
  • Provided a simplified proof for exact current mean values in the XXZ spin chain.

Conclusions:

  • The quantum-classical correspondence in generalized hydrodynamics is supported by an algebraic construction.
  • The framework is versatile, applying to various integrable models, including those without particle conservation.
  • The quasiclassical emergence in current computations is explained through exact methods.