Leo T Butler,Alireza Sharifi
Leo T Butler
This note studies Hamiltonian systems which are thermostated using the Jellinek-Berry thermostat (J. Phys. Chem. 1988; Phys. Rev. A 1988). Jellinek & Jellinek and Berry propose an extension of Nosé's thermostat (J. Chem. Phys. 1984). They ...
Paolo Cifani,Franco Flandoli
Paolo Cifani
Stochastic transport due to a velocity field modeled by the superposition of small-scale divergence free vector fields activated by Fractional Gaussian Noises (FGN) is numerically investigated. We present two non-trivial contributions: the ...
Alan Rapoport
Alan Rapoport
In the present paper we establish a clear correspondence between probabilities of certain edges belonging to a realization of the uniform spanning tree (UST), and the states of a fermionic Gaussian free field. Namely, we express the probabi...
Andreas Bluhm,Ángela Capel,Antonio Pérez-Hernández
Andreas Bluhm
Quantum systems in thermal equilibrium are described using Gibbs states. The correlations in such states determine how difficult it is to describe or simulate them. In this article, we show that if the Gibbs state of a quantum system satisf...
Accelerated First-Passage Dynamics in a Non-Markovian Feedback Ornstein-Uhlenbeck Process [0.03%]
非马尔可夫反馈奥恩斯坦-乌伦贝克过程中的加速首次经过动态现象
Francesco Coghi,Romain Duvezin,John S Wettlaufer
Francesco Coghi
We study the first-passage dynamics of a non-Markovian stochastic process with time-averaged feedback, which we model as a one-dimensional Ornstein-Uhlenbeck process wherein the particle drift is modified by the empirical mean of its trajec...
Bounds on Fluctuations of First Passage Times for Counting Observables in Classical and Quantum Markov Processes [0.03%]
经典和量子马尔可夫过程中计数可观测的第一通过时间波动的界
George Bakewell-Smith,Federico Girotti,Mădălin Guţă et al.
George Bakewell-Smith et al.
We study the statistics of first passage times (FPTs) of trajectory observables in both classical and quantum Markov processes. We consider specifically the FPTs of counting observables, that is, the times to reach a certain threshold of a ...
Simone Rademacher
Simone Rademacher
We consider a Bose gas on the unit torus at zero temperature in the Gross-Pitaevskii regime, known to perform Bose-Einstein condensation: a macroscopic fraction of the bosons occupy the same quantum state, called condensate. We study the Bo...
Macroscopic Thermalization for Highly Degenerate Hamiltonians After Slight Perturbation [0.03%]
略加微扰后高度退化哈密顿量的宏观热化现象
Barbara Roos,Shoki Sugimoto,Stefan Teufel et al.
Barbara Roos et al.
We say of an isolated macroscopic quantum system in a pure state ψ that it is in macroscopic thermal equilibrium (MATE) if ψ lies in or close to a suitable subspace H eq of Hilbert space. It is known that every initial state `...
Márton Balázs,Sudeshna Bhattacharjee,Karambir Das et al.
Márton Balázs et al.
We propose a road layout and traffic model, based on last passage percolation (LPP). An easy naïve argument shows that coalescence of traffic trajectories is essential to be considered when observing traffic networks around us. This is a f...
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...