Lemm, Marius
Published in
Journal of Statistical Mechanics: Theory and Experiment

The von Neumann entropy of a k-body-reduced density matrix γ k quantifies the entanglement between k quantum particles and the remaining ones. In this paper, we rigorously prove general properties of this entanglement entropy as a function of k; it is concave for all 1⩽k⩽N and non-decreasing until the midpoint k⩽⌊N/2⌋ . The results hold for indisti...

Smith, Naftali R
Published in
Journal of Statistical Mechanics: Theory and Experiment

When applying the finite-differences method to numerically solve the one-dimensional diffusion equation, one must choose discretization steps Δx, Δt in space and time, respectively. By applying large-deviation theory on the discretized dynamics, we analyze the numerical errors due to the discretization, and find that the (relative) errors are espec...

Fraenkel, Shachar Goldstein, Moshe
Published in
Journal of Statistical Mechanics: Theory and Experiment

Out-of-equilibrium states of many-body systems tend to evade a description by standard statistical mechanics, and their uniqueness is epitomized by the possibility of certain long-range correlations that cannot occur in equilibrium. In quantum many-body systems, coherent correlations of this sort may lead to the emergence of remarkable entanglement...

Matsui, Chihiro Tsuji, Naoto
Published in
Journal of Statistical Mechanics: Theory and Experiment

We give an exact matrix product steady state and matrix product forms of local observables for the bulk impurity-doped XXZ spin model coupled to dissipators at both ends, whose dynamics is described by the Lindblad quantum master equation. We find that local magnetization is induced at the impurity site when the spin current flows, which is contrar...

Levien, Ethan
Published in
Journal of Statistical Mechanics: Theory and Experiment

The classical model for the genealogies of a neutrally evolving population in a fixed environment is due to Kingman. Kingman’s coalescent process, which produces a binary tree, emerges universally from many microscopic models in which the variance in the number of offspring is finite. It is understood that power-law offsprings distributions with in...

Krug, Joachim Oros, Daniel
Published in
Journal of Statistical Mechanics: Theory and Experiment

Biological evolution can be conceptualized as a search process in the space of gene sequences guided by the fitness landscape, a mapping that assigns a measure of reproductive value to each genotype. Here, we discuss probabilistic models of fitness landscapes with a focus on their evolutionary accessibility, where a path in a fitness landscape is s...

Roy, Dipankar Dhar, Abhishek Khanin, Konstantin Kulkarni, Manas Spohn, Herbert
Published in
Journal of Statistical Mechanics: Theory and Experiment

In our contribution we study stochastic models in one space dimension with two conservation laws. One model is the coupled continuum stochastic Burgers equation, for which each current is a sum of quadratic nonlinearities, linear diffusion, and spacetime white noise. The second model is a two-lane stochastic lattice gas. As distinct from previous s...

Olsen, Kristian Stølevik Löwen, Hartmut
Published in
Journal of Statistical Mechanics: Theory and Experiment

We investigate stochastic resetting in coupled systems involving two degrees of freedom, where only one variable is reset. The resetting variable, which we think of as hidden, indirectly affects the remaining observable variable via correlations. We derive the Fourier–Laplace transforms of the observable variable’s propagator and provide a recursiv...

Romano, Jacopo Mahault, Benoît Golestanian, Ramin
Published in
Journal of Statistical Mechanics: Theory and Experiment

We study the dynamics of topological defects in continuum theories governed by a free energy minimization principle, building on our recently developed framework (Romano et al 2023 J. Stat. Mech. 083211). We show how the equation of motion of point defects, domain walls, disclination lines and any other singularity can be understood with one unifyi...

Jiang, Xin Liang, Quanyi
Published in
Journal of Statistical Mechanics: Theory and Experiment

The phenomenon of epidemic spread has received continuous attention due to its profound applications in a wide range of social and economic activities. In this paper we propose a partially overlapped multi-layer network model and illustrate the influence of multi-layer structure on outbreaks. Combined with the classic SIS model, we propose a set of...