反向淬火中的普适缺陷统计
Universal Defect Statistics in Reverse Quenches
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中文总结 AI 辅助
本文提出反向淬火中缺陷统计的普适标度理论，证明其由正向淬火缺陷密度方差的两倍给出，并通过一维横向场Ising模型及其无序变体验证，提供了一种仅依赖全局操作的临界指数提取方法。
中文摘要 AI 辅助
我们将广义Kibble-Zurek机制（KZM）的扩展——一种对缺陷形成的随机方法——推广到反向淬火协议。尽管在特定的一维链中此前已观察到反向淬火中缺陷的普适标度行为，我们从概率论的角度论证，该标度在一般情况下依然成立，且由正向淬火中缺陷密度方差的两倍给出。我们在一维横向场Ising模型中解析验证了这些结果，并在其受无限随机性不动点控制的键无序变体中进行了数值验证。从顺磁相出发，该协议仅依赖于对系统磁场的全局控制以及全局磁化测量，从而无需对单个缺陷进行微观观测即可提取临界指数。该方法为通过完全全局操作探测量子临界行为提供了一种稳健且实验上可行的途径。
英文摘要
We derive an extension of the generalized Kibble-Zurek mechanism (KZM), which provides a stochastic approach to defect formation, to reverse quench protocols. While the universal scaling behavior of defects in reverse quenches has been observed previously in certain 1D chains, we argument from a probability-theoretical perspective that this scaling persists in general, and is given by the double of the defect density variance in forward quenches. We validate these results analytically for the one-dimensional transverse field Ising model and numerically for its bond-disordered variant governed by an infinite randomness fixed point. Starting from the paramagnetic phase, this protocol relies solely on global control of the system's magnetic field and global magnetization measurements, enabling the extraction of critical exponents without microscopic access to individual defects. This approach offers a robust and experimentally feasible method for probing quantum critical behavior through entirely global operations.
发表机构
- Universität Heidelberg（海德堡大学）
- Laboratoire de Physique de l’Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris Cité（巴黎高等师范学院物理实验室，ENS，巴黎文理研究大学，法国国家科学研究中心，索邦大学，巴黎西岱大学）
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