The non-compact XXZ spin chain as stochastic particle process

  title={The non-compact XXZ spin chain as stochastic particle process},
  author={Rouven Frassek},
  journal={Journal of Physics A: Mathematical and Theoretical},
  • Rouven Frassek
  • Published 3 April 2019
  • Mathematics, Physics
  • Journal of Physics A: Mathematical and Theoretical
In this note we relate the Hamiltonian of the integrable non-compact spin $s$ XXZ chain to the Markov generator of a stochastic particle process. The hopping rates of the continuous-time process are identified with the ones of a q-Hahn asymmetric zero range model. The main difference with the asymmetric simple exclusion process (ASEP), which can be mapped to the ordinary XXZ spin chain, is that multiple particles can occupy one and the same site. For the non-compact spin $\frac{1}{2}$ XXZ chain… Expand

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