发表机构
Ghent University（根特大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究具有反幺正对称性的无符号问题涨落高斯态，发现其存在两种破缺对称相，提出PEPS拟设可高效描述其中的鞍点相，探讨了结果在非平衡系统及稳定双线性序方面的潜在意义。
AI 中文摘要
我们研究一类无符号问题的一般系统中的双线性序参量关联，这类系统由我们所称的具有反幺正对称性的涨落高斯态（FGS）描述，其中时空路径积分中每个高斯测量的权重为正定。基于对涨落高斯费米子和玻色子实例的蒙特卡罗模拟支持，我们认为这类系统通常呈现两种破缺对称相：鞍点相和非定域收缩相，两者间的竞争由FGS的涨落鞍点的稳定性决定。由于具有反幺正对称性的费米子FGS中的费米液体不稳定性，我们还讨论了用特定投影纠缠对态（PEPS）拟设表示费米子FGS的可能性，我们认为某种构造为鞍点相提供了高效描述，但不适用于非定域收缩相。最后，我们讨论了我们的结果在非平衡系统以及稳定目标双线性序方面的潜在意义。
英文摘要
We study bilinear order-parameter correlations in a general class of sign problem-free systems that are described by what we call Fluctuating Gaussian States (FGS) with anti-unitary symmetries, where the weight of each Gaussian measurement in the space-time path integral is positive-definite. Supported by Monte Carlo simulations on fluctuating Gaussian fermionic and bosonic examples, we argue that such systems generally exhibit two types of broken-symmetry phases: a \emph{saddle point phase} and a \emph{non-local contraction phase}, with the competition between the two determined by the stability of the fluctuation saddle point of FGS. Due to the Fermi liquid instability in fermionic FGS with anti-unitary symmetries, we also discuss the possibility of representing fermionic FGS with a particular Projected Entangled-Pair State (PEPS) ansatz, which we argue a certain construction provides an efficient description for the saddle point phase, but not for the non-local contraction phase. Finally, we discuss the potential implication of our result in non-equilibrium systems and stabilizing a target bilinear order.
Comments11 pages, 6 figures
