论文标题
通过隐藏的Martingale过程进行记忆
Memory Through a Hidden Martingale Process in Progressive Quenching
论文作者
论文摘要
进行性淬火（PQ）是随机过程，其中系统的自由度是顺序固定的。尽管这样的过程无法满足当地的详细余额，但已经发现，完整的旋转网络的某些物理可观察到了Martingale属性。我们研究了系统对PQ中间阶段给出的扰动的反应。最后阶段的反应揭示了持续的记忆，我们表明这种持久性是背后的马丁加尔进程的直接结果。不仅平均响应，在扰动阶段的概率分布的形状也被记住。使用隐藏的martingale工艺，我们可以预测从旋转旋转是顺磁的状态的早期单峰分布中的最终双峰分布。我们提出了一个观点，即Martingale财产是一项随机保护法，在某些随机不变性的背后支持。
Progressive quenching (PQ) is the stochastic process in which the system's degrees of freedom are sequentially fixed. While such process does not satisfy the local detailed balance, it has been found that the some physical observable of a complete spin network exhibits the martingale property. We studied system's response to the perturbation given at intermediate stages of the PQ. The response at the final stage reveals the persistent memory, and we show that this persistence is a direct consequence of the martingale process behind. Not only the mean response, the shape of the probability distribution at the stage of perturbation is also memorized. Using the hidden martingale process we can predict the final bimodal distribution from the early-stage unimodal distribution in the regime where the unfrozen spins are paramagnetic. We propose a viewpoint that the martingale property is a stochastic conservation law which is supported behind by some stochastic invariance.
