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Time-dependently driven stochastic systems form a vast and manifold class of non-equilibrium systems used to model important applications on small length scales such as bit erasure protocols or microscopic heat engines. One property that…

统计力学 · 物理学 2022-04-07 Julius Degünther , Timur Koyuk , Udo Seifert

Practical implementations of quantum technology are limited by unavoidable effects of decoherence and dissipation. With achieved experimental control for individual atoms and photons, more complex platforms composed by several units can be…

The thesis is contributed to the study of the decoherence dynamics of dissipative qubit systems. We reveal the profound impact of the formation of a bound state between the qubit and its local environment on the decoherence dynamics of…

量子物理 · 物理学 2010-07-29 Qing-Jun Tong

We study the stabilization of networked control systems with asynchronous sensors and controllers. Offsets between the sensor and controller clocks are unknown and modeled as parametric uncertainty. First we consider multi-input linear…

系统与控制 · 计算机科学 2017-03-02 Masashi Wakaiki , Kunihisa Okano , Joao P. Hespanha

In this work, we investigate the dynamics of quantum correlations captured by entropic and geometric measures of discord under the influence of dissipative channels for widely used two qubit X state with maximally mixed marginals.…

量子物理 · 物理学 2022-05-31 Nitish Kumar Chandra , Sarang S. Bhosale , Prasanta K. Panigrahi

We analyze the validity of the fluctuation-dissipation theorem for slow relaxation systems in the context of mesoscopic nonequilibrium thermodynamics. We demonstrate that the violation arises as a natural consequence of the elimination of…

统计力学 · 物理学 2009-11-07 A. Perez-Madrid , D. Reguera , J. M. Rubi

Complex dynamical systems may exhibit multiple steady states, including time-periodic limit cycles, where the final trajectory depends on initial conditions. With tuning of parameters, limit cycles can proliferate or merge at an exceptional…

统计力学 · 物理学 2024-12-03 Sergei Shmakov , Peter B. Littlewood

In a glassy system different degrees of freedom have well-separated characteristic times, and are described by different temperatures. The stationary state is essentially non-equilibrium. A generalized statistical thermodynamics is…

无序系统与神经网络 · 物理学 2007-05-23 A. E. Allahverdyan , Th. M. Nieuwenhuizen

We consider stochastic dynamical systems defined by differential equations with a uniform random time delay. The latter equations are shown to be equivalent to deterministic higher-order differential equations: for an $n$-th order equation…

统计力学 · 物理学 2011-10-11 P. L. Krapivsky , J. M. Luck , K. Mallick

We investigate quantum systems perturbed by noise in the form of repeated interactions between the system and the environment. As the number of interactions (aka time steps) tends to infinity, we show, following the works by Pellegrini,…

概率论 · 数学 2025-12-15 Antoine Jacquier , Kostas Kardaras , Adeline Viot

The interaction of (two-level) Rydberg atoms with dissipative QED cavity fields can be described classically or quantum mechanically, even for very low temperatures and mean number of photons, provided the damping constant is large enough.…

量子物理 · 物理学 2012-02-21 R. D. Guerrero Mancilla , R. R. Rey-González , K. M. Fonseca-Romero

We study the properties of output distributions of noisy, random circuits. We obtain upper and lower bounds on the expected distance of the output distribution from the "useless" uniform distribution. These bounds are tight with respect to…

In this paper we prove the time-domain boundedness for noise-to-state exponentially stable systems, and further make an estimation of its lower bound function, which allows to answer the question that how long the solution of a stochastic…

动力系统 · 数学 2020-10-01 Zhou Fang , Chuanhou Gao

The violations of the fluctuation-dissipation theorem are analyzed for a trap model with a gausssian density of states. In this model, the system reaches thermal equilibrium for long times after a quench to any finite temperature and…

软凝聚态物质 · 物理学 2015-06-25 Gregor Diezemann

We study the asymptotic behavior, uniform-in-time, of a non-linear dynamical system under the combined effects of fast periodic sampling with period $\delta$ and small white noise of size $\varepsilon,\thinspace 0<\varepsilon,\delta \ll 1$.…

概率论 · 数学 2025-02-18 Shivam Singh Dhama , Konstantinos Spiliopoulos

We investigate the time evolution of the entanglement entropy of coupled single-mode Bose-Einstein condensates in a double well potential at $T=0$ temperature, by combining numerical results with analytical approximations. We find that the…

量子气体 · 物理学 2022-04-18 Izabella Lovas , József Fortágh , Eugene Demler , Gergely Zaránd

Time crystals are a nonequilibrium phase of matter that extend fundamental spontaneous symmetry breaking into the temporal dimension, typically requiring external driving for their realization. Here, we explore the nonequilibrium phase…

量子物理 · 物理学 2025-05-13 Shu Yang , Zeqing Wang , Libin Fu , Jianwen Jie

The phase description is a powerful tool for analyzing noisy limit cycle oscillators. The method, however, has found only limited applications so far, because the present theory is applicable only to the Gaussian noise while noise in the…

统计力学 · 物理学 2011-04-08 Denis S. Goldobin , Jun-nosuke Teramae , Hiroya Nakao , G. Bard Ermentrout

We introduce a thermodynamically consistent, minimal stochastic model for complementary logic gates built with field-effect transistors. We characterize the performance of such gates with tools from information theory and study the…

统计力学 · 物理学 2021-08-25 Chloe Ya Gao , David T. Limmer

Small systems in contact with a heat bath evolve by stochastic dynamics. Here we show that, when one such small system is weakly coupled to another one, it is possible to infer the presence of such weak coupling by observing the violation…

统计力学 · 物理学 2016-11-07 Deepak Gupta , Sanjib Sabhapandit