测量-反馈间隔控制量子玻尔兹曼采样器中的有序化
Ordering controlled by the measurement-feedback interval in quantum Boltzmann samplers
另 2 家 · 查看机构详情
- Southwest Minzu University（西南民族大学）
- National University of Singapore（新加坡国立大学）
- Nankai University（南开大学）
- MajuLab, CNRS-UNS-NUS-NTU International Joint Research Unit（MajuLab，法国国家科学研究中心-尼斯大学-新加坡国立大学-南洋理工大学国际联合研究单位）
- National Institute of Education, Nanyang Technological University（南洋理工大学国立教育学院）
机构由 AI 辅助整理，请以论文原文为准。
浏览论文内容
中文总结 AI 辅助
本文证明在量子玻尔兹曼采样器中，仅通过缩短测量-反馈间隔即可在固定耦合和耗散下诱导有序化，推导了精确马尔可夫核和阈值，并揭示了连续相变及平均场临界行为。
中文摘要 AI 辅助
我们表明，在具有固定编程耦合和固定局部耗散规则的量子玻尔兹曼采样器中，仅测量-反馈间隔就能诱导有序化。在零环境退相干下，重复的投影测量会移除弛豫过程中再生的横向相干性，从而增强局部纵向响应。我们推导了连续测量记录的精确有限间隔马尔可夫核，并在居里-外斯极限下获得了有序化阈值。对于低于平衡居里-外斯阈值的耦合，缩短读出间隔会驱动向有序稳态的连续转变，即使编程的玻尔兹曼分布仍然是无序的。稳态响应和状态方程精确映射到具有退相干的连续相互作用模型的相应量，而在匹配静态响应时，线性弛豫率仍然不同。精确的有限尺寸稳态计算通过双峰磁化分布和平均场临界标度揭示了该转变。
英文摘要
We show that the measurement--feedback interval alone can induce ordering in a quantum Boltzmann sampler with fixed programmed couplings and a fixed local dissipative rule. At zero environmental dephasing, repeated projective measurements remove transverse coherence regenerated during relaxation, thereby enhancing the local longitudinal response. We derive the exact finite-interval Markov kernel for successive measurement records and obtain the ordering threshold in the Curie--Weiss limit. For couplings below the equilibrium Curie--Weiss threshold, shortening the readout interval drives a continuous transition to an ordered stationary state even though the programmed Boltzmann distribution remains disordered. The stationary response and equation of state map exactly onto those of a continuously interacting model with dephasing, while the linear relaxation rates remain distinct at matched static response. Exact finite-size stationary calculations reveal the transition through bimodal magnetization distributions and mean-field critical scaling.
