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

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 SU(2), 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.

19 pages

References in corpus (4)

• Exact dynamics in the inhomogeneous central-spin model
• Semiclassical dynamics and long time asymptotics of the central-spin problem in a quantum dot
• Dynamics and decoherence in the central spin model using exact methods
• Exact quantum dynamics of XXZ central spin problems

Cited by in corpus (8)

• Persistent dark states in anisotropic central spin models
• Separable and entangled states in the high-spin XX central spin model
• Quantum phase transition in XXZ central spin model
• Exact dynamics of the homogeneous two-qubit $XXZ$ central spin model with the spin bath prepared in superpositions of symmetric Dicke states
• Long-time memory effects in a localizable central spin problem
• The Yang-Baxter paradox
• Disorder-free localisation in continuous-time quantum walks : Role of symmetries
• Ground-state and dynamical properties of a spin-$S$ Heisenberg star