论文标题
$ e_8 $对称的量子多体激发的实验性观察在Ising链Ferromagnet conb $ _2 $ o $ _6 $
Experimental Observation of Quantum Many-Body Excitations of $E_8$ Symmetry in the Ising Chain Ferromagnet CoNb$_2$O$_6$
论文作者
论文摘要
靠近横向场旋转链模型的量子临界点，预计外来动态频谱将出现在扰动纵向场上。动态频谱由八个粒子组成，并由$ e_8 $ lie代数的对称性约束。在这里，我们报告了铁磁性链链材料中的量子旋转动力学的高分辨率Terahertz光谱，$ _2 $ o $ _6 $。在磁有序的阶段为0.25 K时，我们确定了前六个$ e_8 $粒子的特征，$ \ mathbf {m} _1 $ to $ \ mathbf {m} _6 $，以及两粒子（$ \ \ \ m iathbf {m} $ b_c^{1d} = 4.75 $ t，在三维磁顺序被抑制以上$ b_c^{3d} \大约5.3 $ t。观察高能粒子（$ \ m asthbf {m mathbf {m} _3 $外来动态频谱。
Close to the quantum critical point of the transverse-field Ising spin-chain model, an exotic dynamic spectrum was predicted to emerge upon a perturbative longitudinal field. The dynamic spectrum consists of eight particles and is governed by the symmetry of the $E_8$ Lie algebra. Here we report on high-resolution terahertz spectroscopy of quantum spin dynamics in the ferromagnetic Ising-chain material CoNb$_2$O$_6$. At 0.25 K in the magnetically ordered phase we identify characteristics of the first six $E_8$ particles, $\mathbf{m}_1$ to $\mathbf{m}_6$, and the two-particle ($\mathbf{m}_1+\mathbf{m}_2$) continuum in an applied transverse magnetic field of $B_c^{1D}=4.75$ T, before the three-dimensional magnetic order is suppressed above $B_c^{3D}\approx 5.3$ T. The observation of the higher-energy particles ($\mathbf{m}_3$ to $\mathbf{m}_6$) above the low-energy two-particle continua features quantum many-body effects in the exotic dynamic spectrum.
