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How can we learn the laws underlying the dynamics of stochastic systems when their trajectories are sampled sparsely in time? Existing methods either require temporally resolved high-frequency observations, or rely on geometric arguments…

动力系统 · 数学 2025-12-30 Dimitra Maoutsa

In this article we derive the effective pairwise interactions in a Langevin type united atoms model of water. The interactions are determined from the trajectories of a detailed molecular dynamics simulation of simple point charge water. A…

计算物理 · 物理学 2015-05-13 Anders Eriksson , Martin Nilsson Jacobi , Johan Nystrom , Kolbjorn Tunstrom

We establish the path integral approach for the time-dependent heat exchange of an externally driven quantum system coupled to a thermal reservoir. We derive the relevant influence functional and present an exact formal expression for the…

介观与纳米尺度物理 · 物理学 2015-05-20 M. Carrega , P. Solinas , A. Braggio , M. Sassetti , U. Weiss

The chemical Langevin equation (CLE) is a popular simulation method to probe the stochastic dynamics of chemical systems. The CLE's main disadvantage is its break down in finite time due to the problem of evaluating square roots of negative…

定量方法 · 定量生物学 2014-07-22 David Schnoerr , Guido Sanguinetti , Ramon Grima

The blossoming of interest in colloids and nano-particles has given renewed impulse to the study of hard-body systems. In particular, hard spheres have become a real test system for theories and experiments. It is therefore necessary to…

计算物理 · 物理学 2012-08-28 Antonio Scala

Building on recent advances in quantum algorithms which measure and reuse qubits and in efficient classical simulation leveraging projective measurements, we extend these frameworks to real-time dynamics of quantum many-body systems…

量子物理 · 物理学 2025-12-08 Bo Xiao , Benedikt Kloss , E. Miles Stoudenmire

Non-classical correlations in quantum optics as resources for quantum computation are important in the quest for highly-specialized quantum devices. The standard way to investigate such effects relies on either the characterization of the…

It is hypothesized that the Langevin time of stochastic quantum quantization is a physical time over which quantum fields at all values of space and coordinate time fluctuate. The average over paths becomes a time average as opposed to an…

量子物理 · 物理学 2017-08-16 Michael Grady

We investigate a thermally isolated quantum many-body system with an external control represented by a step protocol of a parameter. The propagator at each step of the parameter change is described by thermodynamic quantities under some…

统计力学 · 物理学 2019-02-13 Shin-ichi Sasa , Sho Sugiura , Yuki Yokokura

Understanding complex quantum dynamics in realistic materials requires insight into the underlying correlations dominating the interactions between the participating particles. Due to the wealth of information involved in these processes,…

材料科学 · 物理学 2024-04-19 Adva Baratz , Galit Cohen , Sivan Refaely-Abramson

Recent studies have established and rigorously validated a modified Langevin noise formalism that enables first-principles quantization of electromagnetic fields in open and dissipative environments [1,2,3]. Building on this foundation, a…

光学 · 物理学 2025-12-10 Jisang Seo , Hyunwoo Choi , Thomas E Roth , Jie Zhu , Weng C Chew , Dong-Yeop Na

The system of nonlinear Langevin equations was obtained by using Hamiltonian's operator of two coupling quantum oscillators which are interacting with heat bath. By using the analytical solution of these equations, the analytical…

统计力学 · 物理学 2016-05-31 E. X. Alpomishev , Z. Kanokov

The theory of Gaussian quantum fluctuations around classical steady states in nonlinear quantum-optical systems (also known as standard linearization) is a cornerstone for the analysis of such systems. Its simplicity, together with its…

In molecular dynamics simulations, dynamically consistent coarse-grained (CG) models commonly use stochastic thermostats to model friction and fluctuations that are lost in a CG description. While Markovian, i.e., time-local, formulations…

统计力学 · 物理学 2024-06-24 V. Klippenstein , N. Wolf , N. F. A. van der Vegt

We propose a generalized Langevin dynamics (GLD) technique to construct non-Markovian particle-based coarse-grained models from fine-grained reference simulations and to efficiently integrate them. The proposed GLD model has the form of a…

软凝聚态物质 · 物理学 2018-11-16 Gerhard Jung , Martin Hanke , Friederike Schmid

Work statistics characterizes important features of a non-equilibrium thermodynamic process. But the calculation of the work statistics in an arbitrary non-equilibrium process is usually a cumbersome task. In this work, we study the work…

统计力学 · 物理学 2020-03-18 Tian Qiu , Zhaoyu Fei , Rui Pan , H. T. Quan

Quantum simulators hold enormous promise for advancing the modelling of materials and understanding emergent physics, such as high temperature superconductivity and topological order. While correlation functions are, typically,…

量子物理 · 物理学 2025-06-25 F. Rist , R. S. Watson , H. L. Nourse , B. J. Powell , K. V. Kheruntsyan

Because most chemical or biological experiments are performed under conditions of controlled pressure and temperature, it is important to simulate the isobaric-isothermal ensemble at the atomic level to reveal the microscopic mechanism. By…

统计力学 · 物理学 2025-04-14 Weihao Liang , Sihan Wang , Cong Wang , Weizhou Wang , Xinchen She , Chongbin Wang , Jiushu Shao , Jian Liu

All physical theories should obey the second law of thermodynamics. However, existing proposals to describe the dynamics of hybrid classical-quantum systems either violate the second law or lack a proof of its existence. Here we rectify…

量子物理 · 物理学 2025-07-29 Isaac Layton , Harry J. D. Miller

In computer simulations, quantum delocalization of atomic nuclei can be modeled making use of the Path Integral (PI) formulation of quantum statistical mechanics. This approach, however, comes with a large computational cost. By restricting…

统计力学 · 物理学 2015-04-13 Karsten Kreis , Mark E. Tuckerman , Davide Donadio , Kurt Kremer , Raffaello Potestio
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