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This study simplifies the folded XXZ model, a spin-1/2 quantum integrable system. Its unique properties, like fragmented Hilbert space and large degeneracies, enable exact solutions for its spectrum, dynamics, and thermodynamics.

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Area of Science:

  • Quantum mechanics
  • Statistical mechanics
  • Condensed matter physics

Background:

  • The folded XXZ model is a spin-1/2 quantum integrable system previously studied by independent groups.
  • Its physical properties, including constant scattering lengths and fragmented Hilbert space, are remarkable.
  • Exponentially large degeneracies in the spectrum depend on the particle content of states.

Purpose of the Study:

  • To provide an alternative derivation of the Hamiltonian and conserved charges.
  • To offer a new interpretation of the dual model.
  • To explore the model's exact solutions, thermodynamics, and quantum quench dynamics.

Main Methods:

  • Derivation of Hamiltonian and conserved charges.
  • Construction of a nonlocal map to the Maassarani-Mathieu spin chain (SU(3) XX model).
  • Exact solution for periodic and open boundary conditions.
  • Analysis of quantum quenches and their impact on equilibration.

Main Results:

  • The folded XXZ model is identified as a simple yet remarkable quantum integrable system.
  • Constant scattering lengths simplify the analysis of the spectrum and dynamics.
  • Fragmented Hilbert space leads to large degeneracies, affecting equilibration.
  • Exact solutions for thermodynamics and quantum quench dynamics are derived.
  • Connections to TT[over ¯] and hard rod deformations are discussed.

Conclusions:

  • The folded XXZ model offers a tractable platform for studying complex quantum phenomena.
  • Its unique spectral properties and dynamics provide insights into quantum integrability.
  • The model's behavior under quantum quenches highlights the role of degeneracies in equilibration and potential persistent oscillations.