Observation of E8 Particles in an Ising Chain Antiferromagnet

Abstract

Near the transverse-field induced quantum critical point of the Ising chain, an exotic dynamic spectrum consisting of exactly eight particles was predicted, which is uniquely described by an emergent quantum integrable field theory with the symmetry of the $E_8$ Lie algebra, but rarely explored experimentally. Here we use high-resolution terahertz spectroscopy to resolve quantum spin dynamics of the quasi-one-dimensional Ising antiferromagnet BaCo${}_2$V${}_2$O${}_8$ in an applied transverse field. By comparing to an analytical calculation of the dynamical spin correlations, we identify $E_8$ particles as well as their two-particle excitations.

6 pages, 3 figures, plus supplementary materials

References in corpus (4)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Bose-Einstein Condensation in Magnetic Insulators
• Spinon Confinement in the One-Dimensional Ising-Like Antiferromagnet SrCo2V2O8
• Finite temperature spin dynamics in a perturbed quantum critical Ising chain with an $E_8$ symmetry

Cited by in corpus (22)

• $E_8$ Spectra of Quasi-one-dimensional Antiferromagnet BaCo${}_2$V${}_2$O${}_8$ under Transverse Field
• Experimental Observation of Quantum Many-Body Excitations of $E_8$ Symmetry in the Ising Chain Ferromagnet CoNb${}_2$O${}_6$
• Confinement and Kink Entanglement Asymmetry on a Quantum Ising Chain
• Cascade of singularities in the spin dynamics of a perturbed quantum critical Ising chain
• Confinement in the spectrum of a Heisenberg-Ising spin ladder
• Magnetic excitations in the one-dimensional Heisenberg-Ising model with external fields and their experimental realizations
• Duality and Form Factors in the Thermally Deformed Two-Dimensional Tricritical Ising Model
• Local dynamics and thermal activation in the transverse-field Ising chain
• Spin dynamics of the $E_8$ particles
• Signatures of quantum criticality in the complex inverse temperature plane
• Magnetization oscillations in a periodically driven transverse field Ising chain
• Field-induced antiferromagnetism and Tomonaga-Luttinger liquid behavior in the quasi-one-dimensional Ising-Antiferromagnet SrCo2V2O8
• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
• Mesons in a quantum Ising ladder
• Exact Spin Correlators of Integrable Quantum Circuits from Algebraic Geometry
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• Signatures of Domain-Wall Confinement in Raman Spectroscopy of Ising Spin Chains
• Quantum spin dynamics of the honeycomb magnet K${}_2$Co${}_2$TeO${}_6$ in high magnetic fields
• Spin dynamics and dark particle in a weak-coupled quantum Ising ladder with ${\mathcal{D}}_8^{(1)}$ spectrum
• Thermally activated detection of dark particles in a weakly coupled quantum Ising ladder
• Relativistic meson spectra on ion-trap quantum simulators
• Emergent $D_8^{(1)}$ spectrum and topological soliton excitation in CoNb${}_2$O${}_6$