Spinon dynamics in quantum integrable antiferromagnets

Abstract

The excitations of the Heisenberg antiferromagnetic spin chain in zero field are known as spinons. As pairwise-created fractionalized excitations, spinons are important in the understanding of inelastic neutron scattering experiments in (quasi) one-dimensional materials. In the present work, we consider the real space-time dynamics of spinons originating from a local spin flip on the antiferromagnetic ground state of the (an)isotropic Heisenberg spin-1/2 model and the Babujan-Takhtajan spin-1 model. By utilizing algebraic Bethe ansatz methods at finite system size to compute the expectation value of the local magnetization and spin-spin correlations, spinons are visualized as propagating domain walls in the antiferromagnetic spin ordering with anisotropy dependent behavior. The spin-spin correlation after the spin flip displays a light cone, satisfying the Lieb-Robinson bound for the propagation of correlations at the spinon velocity.

10 pages, 9 figures

References in corpus (9)

• Many-Body Physics with Ultracold Gases
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions
• Dynamically dominant excitations of string solutions in the spin-1/2 antiferromagnetic Heisenberg chain in magnetic fields
• Deformed strings in the Heisenberg model
• The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
• Form factors of integrable Heisenberg (higher) spin chains
• Realization of higher Wess-Zumino-Witten models in spin chains
• Power-law relaxation behavior of an initially localized state in the spin-1/2 Heisenberg chain

Cited by in corpus (6)

• One-dimensional Quantum Spin Dynamics of Bethe String States
• Entanglement spreading after local fermionic excitations in the XXZ chain
• Ballistic Entanglement Cloud after a Boundary Quench
• Impurity and soliton dynamics in a Fermi gas with nearest-neighbor interactions
• Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model
• Quantum wake dynamics in Heisenberg antiferromagnetic chains