Universality in relaxation of spin helices under the $XXZ$- spin chain dynamics

Abstract

We describe dynamics of transverse spin-helix state (SHS) -- a product state with spatially rotating magnetization -- under anisotropic Heisenberg XXZ spin chain evolution. Due to experimental relevance we especially focus on magnetization dynamics. At long times the $U(1)$ symmetry of the Hamiltonian is restored, leading to the decay of transverse magnetization, which can be described as an exponential decay of a spatially harmonic profile. We show that the dependence of the short and intermediate-time decay timescale, which in principle depends on all different parameters, like the wavevector of the initial helix, the anisotropy, etc., can be described well by a single scaling function. We also briefly discuss the evolution of magnetization current.

14 pages, 15 Figures

References in corpus (5)

• The density-matrix renormalization group in the age of matrix product states
• Far-from-equilibrium spin transport in Heisenberg quantum magnets
• Skyrmion Qubits: A New Class of Quantum Logic Elements Based on Nanoscale Magnetization
• Phantom Bethe roots in the integrable open spin $1/2$ $XXZ$ chain
• Steady helix states in a resonant XXZ Heisenberg model with Dzyaloshinskii-Moriya interaction

Cited by in corpus (5)

• Chiral basis for qubits and spin-helix decay
• Inhomogeneous SU(2) symmetries in homogeneous integrable U(1) circuits and transport
• A Pedestrian's Way to Baxter's Bethe Ansatz for the Periodic XYZ Chain
• All product eigenstates in Heisenberg models from a graphical construction
• Universal scaling of higher-order cumulants in quantum isotropic spin chains