Green's Function Perspective on the Nonlinear Density Response of Quantum Many-Body Systems [0.03%]
量子多体系统的非线性密度响应的格林函数视角
Jan Vorberger,Tobias Dornheim,Maximilian P Böhme et al.
Jan Vorberger et al.
We derive equations of motion for higher order density response functions using the theory of thermodynamic Green's functions. We also derive expressions for the higher order generalized dielectric functions and polarization functions. More...
Vebjørn H Bakkestuen,Mihály A Csirik,Andre Laestadius et al.
Vebjørn H Bakkestuen et al.
A detailed analysis of density-functional theory for quantum-electrodynamical model systems is provided. In particular, the quantum Rabi model, the Dicke model, and a generalization of the latter to multiple modes are considered. We prove a...
Franco Flandoli,Ruojun Huang
Franco Flandoli
We consider an abstract non-inertial model of aggregation under the influence of a Gaussian white noise with prescribed space-covariance, and prove a formula for the mean collision rate R, per unit of time and volume. Specializing the abstr...
Implementing Bogoliubov Transformations Beyond the Shale-Stinespring Condition [0.03%]
超越Shale-Stinespring条件的Bogoliubov变换的实现
Sascha Lill
Sascha Lill
We define infinite tensor product spaces that extend Fock space, and allow for implementing Bogoliubov transformations which violate the Shale or Shale-Stinespring condition. So an implementation on the usual Fock space would not be possibl...
Lucas Sá,Pedro Ribeiro,Tomaž Prosen et al.
Lucas Sá et al.
We perform a systematic symmetry classification of the Markov generators of classical stochastic processes. Our classification scheme is based on the action of involutive symmetry transformations of a real Markov generator, extending the Be...
Ilya Chevyrev,Christophe Garban
Ilya Chevyrev
We prove that Villain interaction applied to lattice gauge theory can be obtained as the limit of both Wilson and Manton interactions on a larger graph which we call the carpet graph. This is the lattice gauge theory analog of a well-known ...
Coupling Derivation of Optimal-Order Central Moment Bounds in Exponential Last-Passage Percolation [0.03%]
指数最后过渗透中最佳阶中心矩界的耦合推导
Elnur Emrah,Nicos Georgiou,Janosch Ortmann
Elnur Emrah
We introduce new probabilistic arguments to derive optimal-order central moment bounds in planar directed last-passage percolation. Our technique is based on couplings with the increment-stationary variants of the model, and is presented in...
Matteo Colangeli,Manh Hong Duong,Adrian Muntean
Matteo Colangeli
We consider a classical model of non-equilibrium statistical mechanics accounting for non-Markovian effects, which is referred to as the Generalized Langevin Equation in the literature. We derive reduced Markovian descriptions obtained thro...
Density-Induced Variations of Local Dimension Estimates for Absolutely Continuous Random Variables [0.03%]
绝对连续随机变量局部维数估计的密度诱导变化
Paul Platzer,Bertrand Chapron
Paul Platzer
For any multi-fractal dynamical system, a precise estimate of the local dimension is essential to infer variations in its number of degrees of freedom. Following extreme value theory, a local dimension may be estimated from the distribution...
High-Fugacity Expansion and Crystallization in Non-sliding Hard-Core Lattice Particle Models Without a Tiling Constraint [0.03%]
高配分展开和非平移硬核格子粒子模型的结晶现象（无密铺约束）
Qidong He,Ian Jauslin
Qidong He
In this paper, we prove the existence of a crystallization transition for a family of hard-core particle models on periodic graphs in dimension d ≥ 2 . We consider only models featuring a single species of particles, which in particu...