Replica symmetry breaking in trajectory space for diffusion in logarithmically correlated random potentials

测量诱导的动力学与保迹复本截断

Measurement Induced Dynamics and Trace Preserving Replica Cutoffs

提出保迹复本截断方法解决复制量子系统测量诱导动力学中的无限层级问题，利用层析技术估计高阶复本态并保证 Lindblad 演化，数值表明该方法与轨迹方法一致且统计收敛性更好。

Peptide Folding Kinetics from Replica Exchange Molecular Dynamics

We show how accurate kinetic information, such as the rates of protein folding and unfolding, can be extracted from replica-exchange molecular dynamics (REMD) simulations. From the brief and continuous trajectory segments between replica exchanges, we estimate short-time propagators in conformation space and use them to construct a master equation. For a helical peptide in explicit water, we determine the rates of transitions both locally between microscopic conformational states and globally for folding and unfolding. We show that accurate rates in the ~1/(100 ns) to ~1/(1 ns) range can be ob…

球形自旋玻璃基态大偏差中的复本对称破缺相变

Replica-symmetry breaking transitions in the large deviations of the ground-state of a spherical spin-glass

本研究推广Crisanti-Sommers公式得到带随机外场的球形自旋玻璃基态能量大偏差函数，发现其复本对称破缺水平异于典型基态，解决了过往计算与严格结果的矛盾，还得到零场极限下的标度形式与典型涨落猜想。

流行病传播中推断的统计力学

Statistical Mechanics of Inference in Epidemic Spreading

本研究运用副本对称空腔方法，分析流行病传播推断的信息论极限，给出SI模型后验预测与相图，并发现副本对称破缺迹象及参数恢复方法。

Statistically optimal analysis of state-discretized trajectory data from multiple thermodynamic states

We propose a discrete transition-based reweighting analysis method (dTRAM) for analyzing configuration-space-discretized simulation trajectories produced at different thermodynamic states (temperatures, Hamiltonians, etc.) dTRAM provides maximum-likelihood estimates of stationary quantities (probabilities, free energies, expectation values) at any thermodynamic state. In contrast to the weighted histogram analysis method (WHAM), dTRAM does not require data to be sampled from global equilibrium, and can thus produce superior estimates for enhanced sampling data such as parallel/simulated temper…

Statistical mechanics of secondary structures formed by random RNA sequences

The formation of secondary structures by a random RNA sequence is studied as a model system for the sequence-structure problem omnipresent in biopolymers. Several toy energy models are introduced to allow detailed analytical and numerical studies. First, a two-replica calculation is performed. By mapping the two-replica problem to the denaturation of a single homogeneous RNA in 6-dimensional embedding space, we show that sequence disorder is perturbatively irrelevant, i.e., an RNA molecule with weak sequence disorder is in a molten phase where many secondary structures with comparable total en…

希尔伯特空间在随机幺正电路下的离域化

Hilbert space delocalization under random unitary circuits

本研究分析随机量子电路下希尔伯特空间离域化，用复制技巧和Weingarten微积分证明参与熵在固定精度下对数时间达到饱和，数值模拟验证了结果。

Effective Theory for the Measurement-Induced Phase Transition of Dirac Fermions

A wave function exposed to measurements undergoes pure state dynamics, with deterministic unitary and probabilistic measurement induced state updates, defining a quantum trajectory. For many-particle systems, the competition of these different elements of dynamics can give rise to a scenario similar to quantum phase transitions. To access it despite the randomness of single quantum trajectories, we construct an $n$-replica Keldysh field theory for the ensemble average of the $n$-th moment of the trajectory projector. A key finding is that this field theory decouples into one set of degrees of …

Lane formation and critical coarsening in a model of bacterial competition

We study competition of two non-motile bacterial strains in a three-dimensional channel numerically, and analyze how their configuration evolves in space and time. We construct a lattice model that takes into account self-replication, mutation, and killing of bacteria. When mutation is not significant, the two strains segregate and form stripe patterns along the channel. The formed lanes are gradually rearranged, with increasing length scales in the two-dimensional cross-sectional plane. We characterize it in terms of coarsening and phase ordering in statistical physics. In particular, for the…

帕斯卡研究所讲义：含噪声量子动力学与测量诱导相变

Cahier de l'Institut Pascal: Noisy Quantum Dynamics and Measurement-Induced Phase Transitions

本文综合分析了一维混合量子电路中测量诱导相变的最新成果，揭示测量速率对纠缠演化的三种调控机制，并通过Tomonaga-Luttinger液体场论展示了局域测量的非局域效应。

相互作用布朗粒子间的方向信息传递

Directional information transfer between interacting Brownian particles

研究揭示了相互作用布朗粒子间因质量不对称性导致的信息单向传递现象，通过转移熵分析发现信息流动与记忆容量和可预测性竞争相关，且净信息流与质量比呈对数关系。