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The first-passage-time problem for a Brownian motion with alternating infinitesimal moments through a constant boundary is considered under the assumption that the time intervals between consecutive changes of these moments are described by…

Probability · Mathematics 2021-01-28 A. Di Crescenzo , E. Di Nardo , L. M. Ricciardi

The precise characterization of dynamics in open quantum systems often presents significant challenges, leading to the introduction of various approximations to simplify a model. One commonly used strategy involves Markovian approximations,…

Quantum Physics · Physics 2024-12-04 Zhao-Ming Wang , S. L. Wu , Mark S. Byrd , Lian-Ao Wu

As a proof of principle, we show how a classical nonlinear Hamiltonian system can be driven resonantly over reasonably long times by appropriately shaped pulses. To keep the parameter space reasonably small, we limit ourselves to a driving…

Chaotic Dynamics · Physics 2013-10-23 Carlo Palmisano , Gianpiero Gervino , Massimo Balma , Dorina Devona , Sandro Wimberger

We consider the effect of Gaussian white noise on fast-slow dynamical systems with one fast and two slow variables, containing a folded-node singularity. In the absence of noise, these systems are known to display mixed-mode oscillations,…

Dynamical Systems · Mathematics 2012-02-20 Nils Berglund , Barbara Gentz , Christian Kuehn

We study the Langevin dynamics of a two-dimensional discrete oscillator chain absorbed on a periodic substrate and subjected to an external localized point force. Going beyond the commonly used harmonic bead-spring model, we consider a…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 S. Martens , D. Hennig , S. Fugmann , L. Schimansky-Geier

The mobility of an overdamped particle, in a periodic potential tilted by a constant external field and moving in a medium with periodic friction coefficient is examined. When the potential and the friction coefficient have the same…

Statistical Mechanics · Physics 2009-10-31 Debasis Dan , Mangal C. Mahato , A. M. Jayannavar

We investigate a tight binding quantum walk on a graph. Repeated stroboscopic measurements of the position of the particle yield a measured "trajectory", and a combination of classical and quantum mechanical properties for the walk are…

Statistical Mechanics · Physics 2022-05-18 A. Didi , E. Barkai

We consider properties of one-dimensional diffusive dichotomous flow and discuss effects of resonant activation in the presence of statistically independent random resetting mechanism. Resonant activation and stochastic resetting are two…

Statistical Mechanics · Physics 2021-06-30 Karol Capała , Bartłomiej Dybiec , Ewa Gudowska-Nowak

The transport phenomenon (movement and diffusion) of inertia Brownian particles in a periodic potential with non-Gaussian noise is investigated. It is found that proper noise intensity Q will promote particles directional movement(or…

Statistical Mechanics · Physics 2019-02-20 Bing Wang , Xiaoxiao Zhang , Yajuan Sun , Zhongwei Qu , Xuechao Li

We consider a moving target and an active pursing agent, modeled as an intelligent active Brownian particle capable of sensing the instantaneous target location and adjust its direction of motion accordingly. An analytical and simulation…

Soft Condensed Matter · Physics 2024-06-04 Segun Goh , Roland G. Winkler , Gerhard Gompper

We study the spectral properties of classical and quantum Markovian processes that are reset at random times to a specific configuration or state with a reset rate that is independent of the current state of the system. We demonstrate that…

Statistical Mechanics · Physics 2018-08-28 Dominic C. Rose , Hugo Touchette , Igor Lesanovsky , Juan P. Garrahan

We study the unitary time evolution of photons interacting with a dielectric resonator using coherent control pulses. We show that non-Markovianity of transient photon dynamics in the resonator subsystem may be controlled to within a…

Quantum Physics · Physics 2014-08-26 Anthony F. J. Levi , Lorenzo Campos Venuti , Tameem Albash , Stephan Haas

We investigate the role of noise in the phenomenon of stochastic synchronization of switching events in a rocked, overdamped bistable potential driven by white Gaussian noise, the archetype description of Stochastic Resonance. We present a…

The first-passage time (FPT) of a stochastic signal to a threshold is a fundamental observable across physics, biology, and finance. While renewal shot noise is a canonical model for such signals, analytical results for its FPT have…

Statistical Mechanics · Physics 2026-02-24 Julien Brémont

The system-environment interaction is simulated by light propagating in coupled photonic waveguides. The profile of the electromagnetic field provides intuitive physical insight to study the Markovian and non-Markovian dynamics of open…

Quantum Physics · Physics 2013-12-16 Chang-Ling Zou , Xiang-Dong Chen , Xiao Xiong , Fang-Wen Sun , Xu-Bo Zou , Zheng-Fu Han , Guang-Can Guo

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

Activation of quantum capacity is a surprising phenomenon according to which the quantum capacity of a certain channel may increase by combining it with another channel with zero quantum capacity. Superactivation describes an even more…

Quantum Physics · Physics 2019-03-29 Youngrong Lim , Ryuji Takagi , Gerardo Adesso , Soojoon Lee

We quantify the effect of Gaussian white noise on fast--slow dynamical systems with one fast and two slow variables, which display mixed-mode oscillations owing to the presence of a folded-node singularity. The stochastic system can be…

Dynamical Systems · Mathematics 2015-03-06 Nils Berglund , Barbara Gentz , Christian Kuehn

In specific motifs of three recurrently connected neurons with probabilistic response, the spontaneous information flux, defined as the mutual information between subsequent states, has been shown to increase by adding ongoing white noise…

Neurons and Cognition · Quantitative Biology 2024-08-13 Claus Metzner , Achim Schilling , Andreas Maier , Patrick Krauss

We study the dynamics of a transmon qubit that is capacitively coupled to an open multimode superconducting resonator. Our effective equations are derived by eliminating resonator degrees of freedom while encoding their effect in the…

Quantum Physics · Physics 2017-05-02 Moein Malekakhlagh , Alexandru Petrescu , Hakan E. Türeci
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