标题： Sachdev-Ye-Kitaev 模型在量子玻璃景观中 显示英文标题

标题： Sachdev-Ye-Kitaev Model in a Quantum Glassy Landscape

摘要： 我们研究了一种“Yukawa模型”的推广，其中Majorana费米子通过全连接的随机耦合相互作用，类似于Sachdev-Ye-Kitaev（SYK）模型，同时与由量子$p-$自旋模型描述的无序玻色自由度参数耦合。 后者具有自己的非平凡动力学，导致量子顺磁（或液体）相和玻璃相。 在低温下，这种设置导致在崎岖玻色自由能景观的每个亚稳态中出现SYK行为，每个亚稳态的有效费米子耦合不同。 我们表明，玻色子-费米子耦合增强了量子自旋玻璃相的稳定性，并显著修改了两组自由度的虚时格林函数。 特别是，在量子自旋玻璃相中，虚时动力学从间隙相特征的快速指数衰减转变为更慢的动力学。 而在量子顺磁相中，费米子的虚时动力学被强烈修改，临界SYK行为被消除。 显示英文摘要

摘要： We study a generalization of `Yukawa models' in which Majorana fermions, interacting via all-to-all random couplings as in the Sachdev-Ye-Kitaev (SYK) model, are parametrically coupled to disordered bosonic degrees of freedom described by a quantum $p-$spin model. The latter has its own non-trivial dynamics leading to quantum paramagnetic (or liquid) and glassy phases. At low temperatures, this setup results in SYK behavior within each metastable state of a rugged bosonic free energy landscape, the effective fermionic couplings being different for each metastable state. We show that the boson-fermion coupling enhances the stability of the quantum spin-glass phase and strongly modifies the imaginary-time Green's functions of both sets of degrees of freedom. In particular, in the quantum spin glass phase, the imaginary-time dynamics is turned from a fast exponential decay characteristic of a gapped phase into a much slower dynamics. In the quantum paramagnetic phase, on the other hand, the fermions' imaginary-time dynamics get strongly modified and the critical SYK behavior is washed away.