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We derive spectral fluctuation--dissipation--response inequalities for finite-state Markov jump processes. By comparing the causal susceptibility to its passive equilibrium reference, we establish frequency-resolved and frequency-integrated…

统计力学 · 物理学 2026-04-23 Jie Gu

We derive an inequality relating the finite-frequency linear response and fluctuations of an observable in a physical system. The relation holds for arbitrary observables and perturbations in general Markovian dynamics, including over- and…

统计力学 · 物理学 2025-10-20 Andreas Dechant

Relative fluctuations of observables in discrete stochastic systems are bounded at all times by the mean dynamical activity in the system, quantified by the mean number of jumps. This constitutes a kinetic uncertainty relation that is…

统计力学 · 物理学 2019-01-08 Ivan Di Terlizzi , Marco Baiesi

We develop a unified fluctuation-response theory in the frequency domain for nonequilibrium steady states governed by overdamped Langevin dynamics and Markov jump processes. The relation expresses the power spectrum of general observables…

统计力学 · 物理学 2026-05-07 Euijoon Kwon , Hyun-Myung Chun , Hyunggyu Park , Jae Sung Lee

Time-integrated state observables, which quantify the fraction of time spent by the system in a specific pool of states, are important in many fields, such as chemical sensing or the theory of fluorescence spectroscopy. We derive exact…

统计力学 · 物理学 2026-02-23 Krzysztof Ptaszynski , Timur Aslyamov , Massimiliano Esposito

In nonequilibrium steady states of Markov jump processes, we derive exact Fluctuation-Response Relations (FRRs) that express the covariance between any pair of currents in terms of static responses in a notably simple form, thus…

统计力学 · 物理学 2025-04-17 Timur Aslyamov , Krzysztof Ptaszyński , Massimiliano Esposito

The thermodynamic and kinetic uncertainty relations indicate trade-offs between the relative fluctuation of observables and thermodynamic quantities such as dissipation and dynamical activity. Although these relations have been well studied…

统计力学 · 物理学 2022-04-12 Tan Van Vu , Keiji Saito

We derive a general scheme to obtain quantum fluctuation relations for dynamical observables in open quantum systems. For concreteness we consider Markovian non-unitary dynamics that is unraveled in terms of quantum jump trajectories, and…

量子物理 · 物理学 2021-07-14 Stefano Marcantoni , Carlos Pérez-Espigares , Juan P. Garrahan

We present a new approach to response around arbitrary out-of-equilibrium states in the form of a fluctuation-response inequality (FRI). We study the response of an observable to a perturbation of the underlying stochastic dynamics. We find…

统计力学 · 物理学 2019-10-22 Andreas Dechant , Shin-ichi Sasa

We derive exact dynamical fluctuation-response relations (FRRs) for time-integrated observables of any nonautonomous Markov jump process. The finite-time covariance splits into an initial variability and an integral of response kernels…

统计力学 · 物理学 2026-05-15 Timur Aslyamov , Massimiliano Esposito

An open quantum system interacting with its environment can be modeled under suitable assumptions as a Markov process, described by a Lindblad master equation. In this work, we derive a general set of fluctuation relations for systems…

统计力学 · 物理学 2015-06-03 Raphael Chetrite , Kirone Mallick

Controlling dynamical fluctuations in open quantum systems is essential both for our comprehension of quantum nonequilibrium behaviour and for its possible application in near-term quantum technologies. However, understanding these…

统计力学 · 物理学 2020-10-07 Federico Carollo , Carlos Pérez-Espigares

Understanding the fluctuations by which phenomenological evolution equations with thermodynamic structure can be enhanced is the key to a general framework of nonequilibrium statistical mechanics. These fluctuations provide an idealized…

统计力学 · 物理学 2021-02-03 Hans Christian Öttinger , Mark A. Peletier , Alberto Montefusco

We derive a general set of fluctuation relations for a nonequilibrium open quantum system described by a Lindblad master equation. In the special case of conservative Hamiltonian dynamics, these identities allow us to retrieve quantum…

统计力学 · 物理学 2010-02-05 Raphael Chetrite , Kirone Mallick

Understanding how systems respond to external perturbations is a fundamental challenge in physics, particularly for non-equilibrium and non-stationary processes. The fluctuation-dissipation theorem provides a complete framework for…

统计力学 · 物理学 2026-05-06 Jiming Zheng , Zhiyue Lu

Fluctuation dynamics of an experimentally measured observable offer a primary signal for nonequilibrium systems, along with dynamics of the mean. While universal speed limits for the mean have actively been studied recently, constraints for…

统计力学 · 物理学 2024-11-08 Ryusuke Hamazaki

Fluctuation-response relations encode fundamental constraints on nonequilibrium systems. While time-domain static response is bounded by activity and entropy production, finite-frequency extensions for time-dependent perturbations remain…

统计力学 · 物理学 2026-02-24 Jiming Zheng , Zhiyue Lu

We present a theoretical framework to analyze the violation of fluctuation-response relation (FRR) for any observable from a finite Markov system with two well-separated time scales. We find that, generally for both slow and fast…

统计力学 · 物理学 2016-10-04 Shou-Wen Wang , Kyogo Kawaguchi , Shin-ichi Sasa , Lei-Han Tang

We present a general quantum fluctuation theorem for the entropy production of an open quantum system coupled to multiple environments, not necessarily at equilibrium. Such a general theorem, when restricted to the weak-coupling and…

量子物理 · 物理学 2022-06-29 Gabriele De Chiara , Alberto Imparato

The precision and response of trajectory observables offer valuable insights into the behavior of nonequilibrium systems. For classical systems, trade-offs between these characteristics and thermodynamic costs, such as entropy production…

量子物理 · 物理学 2025-03-10 Tan Van Vu
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