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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…

Statistical Mechanics · Physics 2025-06-12 Paolo Cifani , Franco Flandoli

Starting from a generalization of the quantum trajectory theory (based on the stochastic Schr\"odinger equation - SSE), non-Markovian models of quantum dynamics are derived. In order to describe non-Markovian effects, the approach used in…

Quantum Physics · Physics 2012-12-27 A. Barchielli , C. Pellegrini , F. Petruccione

Stochastic perturbation of two-level atoms strongly driven by a coherent light field is analyzed by the quantum trajectory method. A new method is developed for calculating the resonance fluorescence spectra from numerical simulations. It…

Quantum Physics · Physics 2009-11-07 A. Karpati , P. Adam , W. Gawlik , B. Lobodzinski , J. Janszky

The diffusion of molecules in complex intracellular environments can be strongly influenced by spatial heterogeneity and stochasticity. A key challenge when modelling such processes using stochastic random walk frameworks is that negative…

Biological Physics · Physics 2019-01-31 Elliot J. Carr , Matthew J. Simpson

Many dynamical systems are subjected to stochastic influences, such as random excitations, noise, and unmodeled behavior. Tracking the system's state and parameters based on a physical model is a common task for which filtering algorithms,…

Signal Processing · Electrical Eng. & Systems 2024-07-03 Jan Grashorn , Matteo Broggi , Ludovic Chamoin , Michael Beer

The development of emerging technologies in quantum optics demands accurate models that faithfully capture genuine quantum effects. Mature semiclassical approaches reach their limits when confronted with quantized electromagnetic fields,…

In this paper, we investigate non-Markovian quantum dynamics from the perspective of quantum noises in a network of atoms mediated by a waveguide. In such networks, quantum coherent feedback control becomes achievable when coherent fields…

Quantum Physics · Physics 2026-04-14 Haijin Ding , Guofeng Zhang

This thesis is devoted to the study of quantum mechanical effects that arise in systems of reduced dimensionality. Specifically, we investigate coherence and correlation effects in quantum transport models. In the first part, we present a…

Mesoscale and Nanoscale Physics · Physics 2012-03-12 David Marcos

Recent theoretical and experimental efforts have shown the remarkable and counter-intuitive role of noise in enhancing the transport efficiency of complex systems. Here, we realize simple, scalable, and controllable optical fiber cavity…

Quantum Physics · Physics 2015-08-26 Silvia Viciani , Manuela Lima , Marco Bellini , Filippo Caruso

The role of noise in the transport properties of quantum excitations is a topic of great importance in many fields, from organic semiconductors for technological applications to light-harvesting complexes in photosynthesis. In this paper we…

Quantum Physics · Physics 2016-11-22 Stefano Iubini , Octavi Boada , Yasser Omar , Francesco Piazza

A key insight from recent studies is that noise, such as dephasing, can improve the efficiency of quantum transport by suppressing coherent single-particle interference effects. However, it is not yet clear whether dephasing can enhance…

Quantum Physics · Physics 2015-04-27 J. J. Mendoza-Arenas , T. Grujic , D. Jaksch , S. R. Clark

We propose a model based on a generalized effective Hamiltonian for studying the effect of noise in quantum computations. The system-environment interactions are taken into account by including stochastic fluctuating terms in the system…

Quantum Physics · Physics 2007-05-23 Y. C. Cheng , R. J. Silbey

Open quantum systems are a topic of intense theoretical research. The use of master equations to model a system's evolution subject to an interaction with an external environment is one of the most successful theoretical paradigms. General…

This paper studies a stochastic model that describes the evolution of vehicle densities in a road network. It is consistent with the class of (deterministic) kinematic wave models, which describe traffic flows on the basis of conservation…

Probability · Mathematics 2021-02-11 Michel Mandjes , Jaap Storm

Physicists are attracted to open-system dynamics, how quantum systems evolve, and how they can protected from unnecessary environmental noise, especially environmental memory effects are not negligible, as with non-Markovian approximations.…

Quantum Physics · Physics 2021-06-02 Akbar Islam , An Min Wang , Ahmad Abliz

Transport phenomena are fundamental in Physics. They allow for information and energy to be exchanged between individual constituents of communication systems, networks or even biological entities. Environmental noise will generally hinder…

Quantum Physics · Physics 2009-11-13 M. B. Plenio , S. F. Huelga

Environmental noise can enhance transport, an effect known as environmental noise-assisted quantum transport. Most theoretical studies focus on optimizing system parameters under spatially uniform system-environment coupling. Here, instead,…

Quantum Physics · Physics 2026-04-28 Maggie Lawrence , Elise Wang , Dvira Segal

In this work, we show that the inverse-$\lambda$ shape in the fundamental diagram of traffic flow can be produced dynamically by a simple nonlinear mesoscopic model with stochastic noises. The proposed model is based on the gas-kinetic…

Physics and Society · Physics 2017-09-28 Wei-Liang Qian , Adriano F. Siqueira , Romuel F. Machado , Kai Lin , Ted William Grant

Recently, the presence of noise has been found to play a key role in assisting the transport of energy and information in complex quantum networks and even in biomolecular systems. Here we propose an experimentally realizable optical…

Quantum Physics · Physics 2011-01-13 Filippo Caruso , Nicolò Spagnolo , Chiara Vitelli , Fabio Sciarrino , Martin B. Plenio

In this work, a stochastic representation based on a physical transport principle is proposed to account for mesoscale eddy effects on the large-scale oceanic circulation. This stochastic framework arises from a decomposition of the…

Geophysics · Physics 2022-07-26 Long Li , Bruno Deremble , Noé Lahaye , Etienne Mémin