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All clocks, in some form or another, use the evolution of nature towards higher entropy states to quantify the passage of time. Due to the statistical nature of the second law and corresponding entropy flows, fluctuations fundamentally…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 A. N. Pearson , Y. Guryanova , P. Erker , E. A. Laird , G. A. D. Briggs , M. Huber , N. Ares

A model of coupled molecular oscillators is proposed to study nonequilibrium thermodynamics of synchronization. We find that synchronization of nonequilibrium oscillators costs energy even when the oscillator-oscillator coupling is…

Biological Physics · Physics 2020-01-29 Dongliang Zhang , Yuansheng Cao , Qi Ouyang , Yuhai Tu

According to thermodynamics, the inevitable increase of entropy allows the past to be distinguished from the future. From this perspective, any clock must incorporate an irreversible process that allows this flow of entropy to be tracked.…

Quantum Physics · Physics 2021-03-18 Emanuel Schwarzhans , Maximilian P. E. Lock , Paul Erker , Nicolai Friis , Marcus Huber

Time remains one of the least well understood concepts in physics, most notably in quantum mechanics. A central goal is to find the fundamental limits of measuring time. One of the main obstacles is the fact that time is not an observable…

Quantum Physics · Physics 2017-08-08 Paul Erker , Mark T. Mitchison , Ralph Silva , Mischa P. Woods , Nicolas Brunner , Marcus Huber

Quantum synchronization is crucial for understanding complex dynamics and holds potential applications in quantum computing and communication. Therefore, assessing the thermodynamic resources required for finite-time synchronization in…

Quantum Physics · Physics 2025-10-15 Maxwell Aifer , Juzar Thingna , Sebastian Deffner

Clocks are inherently out-of-equilibrium because, due to friction, they constantly consume free energy to keep track of time. The Thermodynamic Uncertainty Relation (TUR) quantifies the trade-off between the precision of any…

Statistical Mechanics · Physics 2024-02-05 Ashwin Gopal , Massimiliano Esposito , Nahuel Freitas

All clocks, classical or quantum, are open non equilibrium irreversible systems subject to the constraints of thermodynamics. Using examples I show that these constraints necessarily limit the performance of clocks and that good clocks…

Quantum Physics · Physics 2020-12-30 G J Milburn

Multi-node optical clock networks will enable future studies of fundamental physics and enable applications in quantum and classical communications as well as navigation and geodesy. We implement the first ever multi-node optical clock…

We experimentally realize a quantum clock by using a charge sensor to count charges tunneling through a double quantum dot (DQD). Individual tunneling events are used as the clock's ticks. We quantify the clock's precision while measuring…

In thermodynamics, quantum coherences - superpositions between energy eigenstates - behave in distinctly nonclassical ways. Recently mathematical frameworks have emerged to account for these features and have provided a range of novel…

Quantum Physics · Physics 2018-04-26 Hyukjoon Kwon , Hyunseok Jeong , David Jennings , Benjamin Yadin , M. S. Kim

It has recently been reported [\textit{PNAS} \textbf{114}, 2303 (2017)] that, under an operational definition of time, quantum clocks would get entangled through gravitational effects. Here we study an alternative scenario: the clocks have…

Quantum Physics · Physics 2019-11-14 Jieci Wang , Tonghua Liu , Jiliang Jing , Songbai Chen

A thermal analogue of the classical brachistochrone problem, which minimizes the connection time between two equilibrium states of harmonically confined Brownian particles, has recently been solved theoretically. Here we report its…

From a thermodynamic point of view, all clocks are driven by irreversible processes. Additionally, one can use oscillatory systems to temporally modulate the thermodynamic flux towards equilibrium. Focusing on the most elementary…

Quantum Physics · Physics 2023-11-30 Florian Meier , Emanuel Schwarzhans , Paul Erker , Marcus Huber

Using a thermodynamically consistent, mesoscopic model for modern complementary metal-oxide-semiconductor transistors, we study an array of logical circuits and explore how their function is constrained by recent thermodynamic uncertainty…

Statistical Mechanics · Physics 2025-03-28 Phillip Helms , Songela W. Chen , David T. Limmer

Clock synchronisation is conventional when inertial systems are involved. This statement is no longer true in accelerated systems. A demonstration is given in the case of a rotating platform. We conclude that theories based on the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 François Goy

We analytically derive universal bounds that describe the trade-off between thermodynamic cost and precision in a sequence of events related to some internal changes of an otherwise hidden physical system. The precision is quantified by the…

Statistical Mechanics · Physics 2024-06-18 Patrick Pietzonka , Francesco Coghi

Fluctuations affect the functionality of nanodevices. Thermodynamic uncertainty relations (TURs), derived within the framework of stochastic thermodynamics, show that a minimal amount of dissipation is required to obtain a given relative…

Quantum Physics · Physics 2024-09-13 Luca Razzoli , Matteo Carrega , Fabio Cavaliere , Giuliano Benenti , Maura Sassetti

The paper addresses the problem of time offset synchronization in the presence of temperature variations, which lead to a non-Gaussian environment. In this context, regular Kalman filtering reveals to be suboptimal. A functional…

Networking and Internet Architecture · Computer Science 2022-12-15 Maurizio Mongelli , Stefano Scanzio

We study the problem of clock synchronization in a networked system with arbitrary starts for all nodes. We consider a synchronous network of $n$ nodes, where each node has a local clock that is an integer counter. Eventually, clocks must…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Bernadette Charron-Bost , Louis Penet de Monterno

Brownian clocks are biomolecular networks that can count time. A paradigmatic example are proteins that go through a cycle thus regulating some oscillatory behaviour in a living system. Typically, such a cycle requires free energy often…

Statistical Mechanics · Physics 2017-01-20 Andre C Barato , Udo Seifert
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