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Related papers: Thermodynamic speed limits for co-evolving systems

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Deriving minimum evolution times is of paramount importance in quantum mechanics. Bounds on the speed of evolution are given by the so called quantum speed limit (QSL). In this work we use quantum optimal control methods to study the QSL…

Quantum Physics · Physics 2015-09-04 P. M. Poggi , F. C. Lombardo , D. A. Wisniacki

By a quantum speed limit one usually understands an estimate on how fast a quantum system can evolve between two distinguishable states. The most known quantum speed limit is given in the form of the celebrated Mandelstam-Tamm inequality…

Quantum Physics · Physics 2022-05-27 Sergio Albeverio , Alexander K. Motovilov

We derive two fundamental trade-offs for general stochastic limit cycles in the weak-noise limit. The first is the dissipation-coherence trade-off, which was discovered and proved under additional assumptions by Santolin and Falasco [Phys.…

Statistical Mechanics · Physics 2026-05-04 Ryuna Nagayama , Sosuke Ito

The problem of the insensitivity of the macroscopic behavior of any thermodynamical system to partitioning generates a bias between the reproducibility of its macroscopic behavior viewed as the simplest form of causality and its long-term…

General Physics · Physics 2007-05-23 Maria K. Koleva

The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has triggered significant progress towards the search for faster and more efficient quantum technologies. One of such advances consists in the…

The dynamics of molecular collisions in a macroscopic body are encoded by the parameter Thermodynamic entropy - a statistical measure of the number of molecular configurations that correspond to a given macrostate. Directionality in the…

Populations and Evolution · Quantitative Biology 2020-05-22 Lloyd Demetrius , Christian Wolf

Living systems maintain or increase local order by working against the Second Law of Thermodynamics. Thermodynamic consistency is restored as they dissipate heat, thereby increasing the net entropy of their environment. Recently introduced…

Biological Physics · Physics 2021-05-03 Dominic J. Skinner , Jörn Dunkel

Quantum speed limits are rigorous estimates on how fast a state of a quantum system can depart from the initial state in the course of quantum evolution. Most known quantum speed limits, including the celebrated Mandelstam-Tamm and…

Quantum Physics · Physics 2021-06-02 Nikolai Il`in , Oleg Lychkovskiy

The second law of thermodynamics can be formulated as a restriction on the evolution of the entropy of any system undergoing Markovian dynamics. Here I show that this form of the second law is strengthened for multi-dimensional, complex…

Statistical Mechanics · Physics 2024-02-14 David H. Wolpert

We discuss the time dependence of subsystem entropies in interacting quantum systems. As a model for the time dependence, we suggest that the entropy is as large as possible given two constraints: one follows from the existence of an…

High Energy Physics - Theory · Physics 2021-04-02 Márk Mezei , Douglas Stanford

The quantum speed limit provides fundamental bound on how fast a quantum system can evolve between the initial and the final states. For the unitary evolution, the celebrated Mandelstam-Tamm (MT) bound has been widely studied for various…

Quantum Physics · Physics 2022-08-11 Dimpi Thakuria , Arun Kumar Pati

We consider a general discrete state-space system with both unidirectional and bidirectional links. In contrast to bidirectional links, there is no reverse transition along the unidirectional links. Herein, we first compute the statistical…

Statistical Mechanics · Physics 2021-01-04 Deepak Gupta , Daniel M. Busiello

In this letter, we study the limit behavior of the evolution of Tsallis entropy in self-gravitating systems. The study is carried out under two different situations, drawing the same conclusion. No matter in the energy transfer process or…

Statistical Mechanics · Physics 2017-10-11 Yahui Zheng , Jiulin Du , Faku Liang

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…

Statistical Mechanics · Physics 2024-11-08 Ryusuke Hamazaki

The past two decades have seen a revolution in statistical physics, generalizing it to apply to systems of arbitrary size, evolving while arbitrarily far from equilibrium. Many of these new results are based on analyzing the dynamics of the…

Statistical Mechanics · Physics 2022-08-08 David H. Wolpert

All previously derived thermodynamic fluctuation theorems (FTs) that concern multiple co-evolving systems have required that each system can only change its state during an associated pre-fixed, limited set of time intervals. However, in…

Statistical Mechanics · Physics 2021-04-16 David H. Wolpert

Quantum speed limits (QSLs) establish intrinsic bounds on the minimum time required for the evolution of quantum systems. We present a class of QSLs formulated in terms of the two-parameter Sharma-Mittal entropy (SME), applicable to…

Quantum Physics · Physics 2026-01-01 Dong-Ping Xuan , Zhi-Xi Wang , Shao-Ming Fei

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

We discuss a class of quantum speed limits (QSLs) based on unified quantum ($\alpha,\mu$)-entropy for nonunitary physical processes. The bounds depend on both the Schatten speed and the smallest eigenvalue of the evolved state, and the…

Quantum Physics · Physics 2022-07-06 Diego Paiva Pires

The energy-time uncertainty relation limits the maximum speed of quantum system evolution and is crucial for determining whether quantum tasks can be accelerated. However, multiparticle quantum speed limits have not been experimentally…

Quantum Physics · Physics 2025-11-04 Rui-Heng Miao , Zhao-Di Liu , Chen-Xi Ning , Yu-Cong Hu , Hao Zhang , Chuan-Feng Li , Guang-Can Guo