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Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

Mesoscale and Nanoscale Physics · Physics 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

We formulate the stochastic dynamics of a particle subject to internal non-white (coloured) noise in terms of path-integrals. In the simplest case, where the noise is exponentially correlated, the weak-noise limit is characterised by…

Condensed Matter · Physics 2015-06-25 S. J. B. Einchcomb , A. J. McKane

We consider the usage of dynamical decoupling in quantum metrology, where the joint evolution of system plus environment is described by a Hamiltonian. We demonstrate that by ultra-fast unitary control operations acting locally only on…

Quantum Physics · Physics 2016-08-03 P. Sekatski , M. Skotiniotis , W. Dür

We investigate how the efficiency of the quantum teleportation protocol is affected when the qubits involved in the protocol are subjected to noise or decoherence. We study all types of noise usually encountered in real world…

Quantum Physics · Physics 2015-08-05 Raphael Fortes , Gustavo Rigolin

We use particle dynamics simulations to probe the correlations between noise and dynamics in a variety of disordered systems, including superconducting vortices, 2D electron liquid crystals, colloids, domain walls, and granular media. The…

Superconductivity · Physics 2009-11-10 C. J. Olson Reichhardt , C. Reichhardt

Environmental noise plays a key role in determining the efficiency of transport in quantum systems. However, disorder and localisation alter the impact of such noise on energy transport. To provide a deeper understanding of this…

Quantum Physics · Physics 2021-12-09 Alexandre R. Coates , Brendon W. Lovett , Erik M. Gauger

Bosonic modes are prevalent in all aspects of quantum information processing. However, existing tools for characterizing the quality, stability, and noise properties of bosonic modes are limited, especially in a driven setting. Here, we…

Quantum Physics · Physics 2025-06-13 Christophe H. Valahu , Tomas Navickas , Michael J. Biercuk , Ting Rei Tan

Supervised Gaussian denoisers exhibit limited generalization when confronted with out-of-distribution noise, due to the diverse distributional characteristics of different noise types. To bridge this gap, we propose a histogram matching…

Computer Vision and Pattern Recognition · Computer Science 2025-10-09 Sheng Fu , Junchao Zhang , Kailun Yang

Dissipation in quantum many-body systems provides a more general and experimentally realistic perspective on particle transport than closed quantum systems. In this work, we determine the maximal speed of macroscopic particle transport in…

Quantum Physics · Physics 2026-05-22 Hongchao Li , Cheng Shang , Tomotaka Kuwahara , Tan Van Vu

Non-classical resources enable measurements to achieve a precision that exceeds the limits predicted by the central limit theorem. However, environmental noise arising from system-environment interactions severely limits the performance of…

Quantum Physics · Physics 2025-01-06 Bakmou Lahcen , Ke Zeng , Yu Jiang , Kok Chuan Tan

We study the dynamics of an inertial particle coupled to forcing, dissipation, and noise in the small mass limit. We derive an expression for the limiting (homogenized) joint distribution of the position and (scaled) velocity degrees of…

Mathematical Physics · Physics 2018-04-04 Jeremiah Birrell , Janek Wehr

Noise shaping refers to an analog-to-digital conversion methodology in which quantization error is arranged to lie mostly outside the signal spectrum by means of oversampling and feedback. Recently it has been successfully applied to more…

Information Theory · Computer Science 2015-02-23 Evan Chou , C. Sinan Güntürk , Felix Krahmer , Rayan Saab , Özgür Yılmaz

We explore the effects of spatial locality on the dynamics of random quantum systems subject to a Markovian noise. To this end, we study a model in which the system Hamiltonian and its couplings to the noise are random matrices whose…

Quantum Physics · Physics 2024-01-26 Dror Orgad , Vadim Oganesyan , Sarang Gopalakrishnan

Entanglement has shown promise in enhancing information processing tasks in a sensor network, via distributed quantum sensing protocols. As noise is ubiquitous in sensor networks, error correction schemes based on Gottesman, Kitaev and…

Quantum Physics · Physics 2022-07-20 Boyu Zhou , Anthony J. Brady , Quntao Zhuang

We study the dynamics of dephasing in a quantum two-level system by modeling both 1/f and high-frequency noise by random telegraph processes. Our approach is based on a so-called spin-fluctuator model in which a noisy environment is modeled…

Quantum Physics · Physics 2014-12-01 Alexander I. Nesterov , Gennady P. Berman

We propose a diffusion least mean p-power (LMP) algorithm for distributed estimation in alpha stable noise environments, which is one of the widely used models that appears in various environments. Compared with the diffusion least mean…

Information Theory · Computer Science 2013-10-22 Fuxi Wen

We prove the existence of weak solutions of a class of multi-species cross-diffusion systems as well as the propagation of chaos result by means of nonlocal approximation of the nonlinear diffusion terms, coupling methods and compactness…

Analysis of PDEs · Mathematics 2024-10-18 Jose Antonio Carrillo , Shuchen Guo

We study how discrete-time quantum walks behave under short-range correlated noise. By considering noise as a source of inhomogeneity of quantum gates, we introduce a primitive relaxation in the assumption of uncorrelated stochastic noise:…

Quantum Physics · Physics 2025-10-13 Graça R. M. de Almeida , N. Amaral , A. R. C. Buarque , W. S. Dias

We prove pathwise convergence of the layerwise evolution of tokens in a finite-depth, finite-width transformer model with MultiLayer Perceptron (MLP) blocks to a continuous-time stochastic interacting particle system. We also identify the…

Probability · Mathematics 2026-04-30 Andrea Agazzi , Giuseppe Bruno , Eloy Mosig García , Samuele Saviozzi , Marco Romito

The motion of oscillatory-like nonlinear Hamiltonian systems, driven by a weak noise, is considered. A general method to find regions of stability in the phase space of a randomly-driven system, based on a specific Poincar\'e map, is…

Chaotic Dynamics · Physics 2011-11-10 D. V. Makarov , M. Yu. Uleysky , M. V Budyansky , S. V. Prants