Confinement of many-body Bethe strings

Abstract

Based on Bethe-ansatz approach and inelastic neutron scattering experiments, we reveal evolution of confinement of many-body Bethe strings in ordered regions of quasi-one-dimensional antiferromagnet $\mathrm{YbAl}{\mathrm{O}}_3$. In the antiferromagnetic phase, the spin dynamics is dominated by the confined length-1 Bethe strings, whose dominancy in the high-energy branch of the excitation spectrum yields to the confined length-2 Bethe strings when the material is tuned to the spin-density-wave phase. In the thermal-induced disordered region, the confinement effect disappears, and the system restores the conventional quantum integrable physics of the one-dimensional Heisenberg model. Our results establish a unified picture based on Bethe string for the spin dynamics in different magnetic phases of $\mathrm{YbAl}{\mathrm{O}}_3$, and thus provide profound insight into the many-body quantum magnetism.

5 pages, 4 figures

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Cited by in corpus (3)

• Spinon continuum in the Heisenberg quantum chain compound Sr${}_2$V${}_3$O${}_9$
• Truncated string state space approach and its application to nonintegrable spin-$\frac{1}{2}$ Heisenberg chain
• 1/5 and 1/3 magnetization plateaux in the spin 1/2 chain system YbAlO3