The spin-s homogeneous central spin model: Exact spectrum and dynamics

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3 Scopus citations


We consider the problem of a central spin with arbitrary spin s that interacts pairwise and uniformly with a bath of N spins with s = 1/2. We present two approaches for determining the exact spectrum of this model, one based on properties of , and the other based on integrability. We also analyze the exact time evolution of a spin coherent state, and compute the time evolution of various quantities of physical interest, including the entanglement entropy, spin polarization and Loschmidt echo.

Original languageEnglish (US)
Article number103104
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number10
StatePublished - Oct 24 2018


  • integrable spin chains and vertex models
  • quantum dots
  • quantum integrability (Bethe ansatz)

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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