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In this paper, we study the long-time behavior of a stochastic heat equation with multiplicative noise and localized control. We begin by analyzing the uncontrolled dynamics and derive explicit decay rates for both mean-square and almost…

Optimization and Control · Mathematics 2026-04-13 Víctor Hernández-Santamaría , Kévin Le Balc'h , Liliana Peralta

Time delay is ubiquitous in many experimental and real-world situations. It is often unclear whether time delay plays a significant role in observed phenomena, and if it does, how long the time lag really is. This would be invaluable…

Data Analysis, Statistics and Probability · Physics 2025-12-10 Robin A. Kopp , Sabine H. L. Klapp , Deepak Gupta

We study the influence of spatial confinement on the second-order temporal coherence of the emission from a semiconductor microcavity in the strong coupling regime. The confinement, provided by etched micropillars, has a favorable impact on…

Phase separation accompanied by further domain growth and coarsening is a phenomenon common to a broad variety of dynamical systems. In this connection, controlling such processes represents a relevant interdisciplinary problem. Using…

Optics · Physics 2023-08-02 Vladimir V. Semenov , Xavier Porte , Laurent Larger , Daniel Brunner

The recent investigation into the phenomena of refraction and reflection at temporal boundaries, conducted through the lens of spacetime duality, has attracted considerable scholarly interest. This duality unveils insights into the…

Optics · Physics 2025-03-21 Jing Wang , Yuetao Chen , Shaoyan Gao

This article summarizes the recent work on the influence of dynamical tunneling on the control of quantum systems. Specifically, two examples are discussed. In the first, it is shown that the bichromatic control of tunneling in a driven…

Chaotic Dynamics · Physics 2011-07-26 Srihari Keshavamurthy

Resilience to noise and to decoherence processes is an important ingredient for the implementation of quantum information processing, and quantum technologies. To this end, techniques such as pulsed and continuous dynamical decoupling have…

Quantum Physics · Physics 2016-12-02 Itsik Cohen , Nati Aharon , Alex Retzker

Concurrent natural time scales related to relaxation, recombination, trapping, and drifting processes rule the semiconductor heterostructures' response to external drives when charge carrier fluxes are induced. This paper highlights the…

Stochastic resetting and noise-enhanced stability are two phenomena which can affect the lifetime and relaxation of nonequilibrium states. They can be considered as measures of controlling the efficiency of the completion process when a…

Statistical Mechanics · Physics 2022-06-22 Karol Capała , Bartłomiej Dybiec , Ewa Gudowska-Nowak

We investigate theoretically the transport properties of a mesoscopic system driven by a sequence of rectangular pulses applied at the contact to the input (left) lead. The characteristics of the current which would be measured in the…

Mesoscale and Nanoscale Physics · Physics 2009-11-27 Valeriu Moldoveanu , Andrei Manolescu , Vidar Gudmundsson

We show that a cumulative action of noise and delayed feedback on an excitable theta-neuron leads to rather coherent stochastic bursting. An idealized point process, valid if the characteristic time scales in the problem are well-separated,…

Statistical Mechanics · Physics 2018-11-07 Chunming Zheng , Arkady Pikovsky

The perturbation of multiqubit systems by an external noise can induce various effects like decoherence, stochastic resonance and anti-resonance, and noise-shielding. We investigate how the appearance of these effects on disentanglement…

Quantum Physics · Physics 2013-04-02 A. C. Tzemos , D. P. K. Ghikas

Scanning tunneling miscoscopy is one of the most powerful spectroscopic tools for single-electron excitations. We show that the conductance fluctuations, or noise in the conductance, of a tunneling current into an interacting electron…

Strongly Correlated Electrons · Physics 2009-02-03 Kelly R. Patton , Hartmut Hafermann , Sergej Brener , Alexander I. Lichtenstein , Mikhail I. Katsnelson

We experimentaly investigate higher-order seeded modulation instability in an optical fiber experiment. The recirculating loop configuration with round-trip losses compensation enables the observation in single-shot of the spatio-temporal…

Optics · Physics 2022-07-27 François Copie , Pierre Suret , Stéphane Randoux

Combined effects of the damping and forcing in the underdamped time-delayed Duffing oscillator are considered in this paper. We analyze the generation of a certain damping-induced unpredictability, due to the gradual suppression of…

Adaptation and Self-Organizing Systems · Physics 2021-03-17 Mattia Coccolo , Julia Cantisán , Jesús M. Seoane , S. Rajasekar , Miguel A. F. Sanjuán

The coherence times achieved with continuous dynamical decoupling techniques are often limited by fluctuations in the driving amplitude. In this work, we use time-dependent phase-modulated continuous driving to increase the robustness…

Quantum Physics · Physics 2017-08-22 D. Farfurnik , N. Aharon , I. Cohen , Y. Hovav , A. Retzker , N. Bar-Gill

This paper addresses optimal feedback stabilizing control for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations, affected by state and process noise. Instead of directly stabilizing the uncertain system, we…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Mohammad Khajenejad

Controlling chaos caused by the current-driven ion acoustic instability is attempted using the delayed continuous feedback method, i.e., the time-delay auto synchronization (TDAS) method introduced by Pyragas [Phys. Lett. A 170 (1992)…

Plasma Physics · Physics 2007-05-23 Takao Fukuyama , Christian Wilke , Yoshinobu Kawai

Acoustic cavitation bubbles are known to exhibit highly nonlinear and unpredictable chaotic dynamics. Their inevitable role in applications like sonoluminescence, sonochemistry and medical procedures suggests that their dynamics be…

Chaotic Dynamics · Physics 2008-01-15 Sohrab Behnia , Amin Jafari , Wiria Soltanpoor , Okhtai Jahanbakhsh

Stochasticity (or noise) at cellular and molecular levels has been observed extensively as a universal feature for living systems. However, how living systems deal with noise while performing desirable biological functions remains a major…

Molecular Networks · Quantitative Biology 2020-01-22 Qing Nie , Lingxia Qiao , Yuchi Qiu , Lei Zhang , Wei Zhao