Minimal entropy production due to constraints on rate matrix dependencies in multipartite processes

随机热力学中熵产生率的 Jensen 界

Jensen bound for the entropy production rate in stochastic thermodynamics

本文将连续随机系统熵产生率的 Jensen 下界从原有受限假设推广到多分过阻尼 Langevin 动力学，并扩展至位置依赖扩散、欠阻尼及非多分情形。

Hamming图上自由费米子的多部分信息

Multipartite information of free fermions on Hamming graphs

研究Hamming图上自由费米子基态的多部分信息与纠缠度量，通过求解模型和构建关联矩阵，推导出不相交子图纠缠熵及互信息和三方信息的精确公式，并揭示其对面积律的对数违反。

多个协同演化系统的随机热力学——超越多部过程

Stochastic thermodynamics of multiple co-evolving systems -- beyond multipartite processes

本文研究多个协同演化子系统的复合过程热力学，允许子系统子集同时改变状态，推导了信息流的热力学不确定关系和强化速率极限，适用于比多部过程更广泛的动力学系统。

Thermodynamic Uncertainty Relations for Multipartite Processes

The thermodynamic uncertainty relations (TURs) provide lower bounds on the entropy production (EP) of a system in terms of the statistical precision of an arbitrary current in that system. All conventional TURs derived so far have concerned a single physical system, differing from one another in what properties they require the system to have. However, many physical scenarios of interest involve multiple interacting systems, e.g. organelles within a biological cell. Here we show how to extend the conventional TURs to those scenarios. A common feature of these extended versions of the TURs is t…

Multipartite Entanglement in the Random Ising Chain

Quantifying entanglement of multiple subsystems is a challenging open problem in interacting quantum systems. Here, we focus on two subsystems of length $\ell$ separated by a distance $r=α\ell$ and quantify their entanglement negativity (${\cal E}$) and mutual information (${\cal I}$) in critical random Ising chains. Both the disorder averaged ${\cal E}$ and ${\cal I}$ are found to be scale-invariant and universal, i.e. independent of the form of disorder. We find a constant ${\cal E}(α)$ and ${\cal I}(α)$ over any distances, using the asymptotically exact strong disorder renormalization group…

陈-西蒙斯理论中源于链接的多重熵

Multi-entropy from Linking in Chern-Simons Theory

该研究在阿贝尔与非阿贝尔Chern-Simons理论中探究链接态的多体纠缠结构，推导了阿贝尔理论下三分量链接态的Rényi多重熵显式公式，验证了本征多重熵可忠实地量化GHZ态产生的三体纠缠。

Predicting Critical Phases from Entanglement Dynamics in XXZ Alternating Chain

The quantum XXZ spin model with alternating bond strengths under magnetic field has a rich equilibrium phase diagram which includes Haldane, Luttinger liquid, singlet, and paramagnetic phases. We show that the nearest neighbor bipartite and multipartite entanglement can detect quantum critical lines and phases in this model. We determine a region in parameter space in which the dynamical states, starting from the ground state of the Haldane (dimer) phase can create highly multipartite entangled states for any time period, thereby establishing it as a potential candidate for the implementation …

混沌本征态中的三体纠缠

Tripartite entanglement in chaotic eigenstates

本研究通过Rényi三体多熵和反射熵探针，解析推导混沌本征态三体纠缠的系综平均，揭示其三种定性形式，并用混合场Ising模型验证，提出子系统ETH的三体推广。