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A system's internal dynamics and its interaction with the environment can be determined by tracking how external perturbations affect its transition rates between states. Quantitative measurements of these rates are crucial for optimizing…

This paper deals with the analysis of input/output-to-state stability (IOSS) and construction of state-norm estimators for continuous-time switched nonlinear systems under restricted switching. Our contributions are twofold. First, given a…

Optimization and Control · Mathematics 2024-04-25 Atreyee Kundu

We discuss the generation of entangled states of two two-level atoms coupled simultaneously with a dissipated atom. The dissipation of the atom is supposed to come from its coupling to a noise with adjustable intensity. We describe how the…

Quantum Physics · Physics 2014-11-18 J. Chen , X. X. Yi , H. S. Song , L. Zhou

Coupled parametric oscillators were recently employed as simulators of artificial Ising networks, with the potential to solve computationally hard minimization problems. We demonstrate a new dynamical regime within the simplest network -…

Spectral line-shapes provide a window into the local environment coupled to a quantum transition in the condensed phase. In this paper, we build upon a stochastic model to account for non-stationary background processes produced by…

Mesoscale and Nanoscale Physics · Physics 2022-11-03 Hao Li , S. A. Shah , Eric R. Bittner , Andrei Piryatinski , Carlos Silva

We investigate how to enhance entanglement in the steady state of interacting two-level systems. The steady state is reached by spontaneous decay of the individual systems. When we additionally couple them to a dissipative two-level ancilla…

Quantum Physics · Physics 2015-12-09 Joachim Fischbach , Matthias Freyberger

We consider a two-state model of non-Markovian stochastic resonance (SR) within the framework of the theory of renewal processes. Residence time intervals are assumed to be mutually independent and characterized by some arbitrary…

Condensed Matter · Physics 2009-11-10 Igor Goychuk , Peter Hanggi

Multiplicative noise is found to divide the growth law of tumors into two parts in a logistic model, which is driven by additive and multiplicative noises simultaneously. The Fokker-Planck equation was also derived to explain the fact that…

Biological Physics · Physics 2007-05-23 Wei-Rong Zhong , Yuan-Zhi Shao , Zhen-Hui He

We study the impact of stochastic perturbations to deterministic dynamical systems using the formalism of the Ruelle response theory and explore how stochastic noise can be used to explore the properties of the underlying deterministic…

Statistical Mechanics · Physics 2015-05-27 Valerio Lucarini

We study stochastic resonance in an over-damped approximation of the stochastic Duffing oscillator from a random dynamical systems point of view. We analyse this problem in the general framework of random dynamical systems with a…

Dynamical Systems · Mathematics 2015-10-26 Anna Maria Cherubini , Jeroen S. W. Lamb , Martin Rasmussen , Yuzuru Sato

We analyze the consequences that the choice of the output of the system has in the efficiency of signal detection. It is shown that the signal and the signal-to-noise ratio (SNR), used to characterize the phenomenon of stochastic resonance,…

Condensed Matter · Physics 2016-08-15 J. M. G. Vilar , J. M. Rubí

We study the effects of a high-frequency (HF) signal on the response of a noisy bistable system to a low-frequency subthreshold sinusoidal signal. We show that, by conveniently choosing the ratio of the amplitude of the HF signal to its…

Statistical Mechanics · Physics 2016-08-14 Jesús Casado-Pascual , David Cubero , José Pablo Baltanás

We study thermal instability in NbN superconducting stripline resonators. The system exhibits extreme nonlinearity near a bifurcation, which separates a monostable zone and an astable one. The lifetime of the metastable state, which is…

Superconductivity · Physics 2013-05-29 Eran Segev , Baleegh Abdo , Oleg Shtempluck , Eyal Buks

Using a nonperturbative approach we examine the large frequency asymptotics of the two-point level density correlator in weakly disordered metallic grains. This allows us to study the behavior of the two-level structure factor close to the…

Condensed Matter · Physics 2016-08-31 A. V. Andreev , B. L. Altshuler

We consider the steady state non-equilibrium physics of the multichannel interacting resonant level model in the weak coupling regime. By using the scattering state method we show in agreement with the rate equations that the negative…

Strongly Correlated Electrons · Physics 2015-05-14 L. Borda , A. Zawadowski

Networks of nonlinear parametric resonators are promising candidates as Ising machines for annealing and optimization. These many-body out-of-equilibrium systems host complex phase diagrams of coexisting stationary states. The plethora of…

Classical Physics · Physics 2024-06-21 Toni L. Heugel , R. Chitra , Alexander Eichler , Oded Zilberberg

The concept of SNR enhancement in impulse radio transceivers based on phasers of opposite chirping slopes is introduced. It is shown that signal to-noise radio (SNR) enhancements by factors M2 and M are achieved for burst noise and Gaussian…

Optics · Physics 2014-02-20 Babak Nikfal , Qingfeng Zhang , Christophe Caloz

By use of a stochastic generalization of the Hodgkin-Huxley model we investigate both the phenomena of stochastic resonance (SR) and coherence resonance (CR) in variable size patches of an excitable cell membrane. Our focus is on the…

Biological Physics · Physics 2007-05-23 G. Schmid , I. Goychuk , P. Hänggi

We report the regions where a signal-to-noise ratio (SNR) gain exceeding unity exists in a parallel uncoupled array of identical bistable systems, for both subthreshold and suprathreshold sinusoids buried in broadband Gaussian white input…

Other Condensed Matter · Physics 2007-05-23 Fabing Duan , Francois Chapeau-Blondeau , Derek Abbott

Acoustic metamaterials and phononic crystals represent a promising platform for the development of noise-insulating systems characterized by a low weight and small thickness. Nevertheless, the operational spectral range of these structures…

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