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

Rafael Nepomechie, Xi Wen Guan

Research output: Contribution to journalArticle

Abstract

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
Volume2018
Issue number10
DOIs
StatePublished - Oct 24 2018

Fingerprint

Spin Models
Spin Polarization
Coherent States
Entanglement
Integrability
Pairwise
Entropy
baths
echoes
entropy
Arbitrary
polarization
Polarization
Model

Keywords

  • 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

Cite this

The spin-s homogeneous central spin model : Exact spectrum and dynamics. / Nepomechie, Rafael; Guan, Xi Wen.

In: Journal of Statistical Mechanics: Theory and Experiment, Vol. 2018, No. 10, 103104, 24.10.2018.

Research output: Contribution to journalArticle

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