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Although time is one of the fundamental notions in physics, it does not have a unique description. In quantum theory time is a parameter ordering the succession of the probability amplitudes of a quantum system, while according to…

General Relativity and Quantum Cosmology · Physics 2016-10-04 Pavel Bushev , Jared H. Cole , Dmitry Sholokhov , Nadezhda Kukharchyk , Magdalena Zych

The paper proposes the method to analyze the internal dynamics of nanoscopic systems by periodic modulation of the electrochemical potentials of the attached leads and measuring the time-averaged current. The idea is presented using the…

Mesoscale and Nanoscale Physics · Physics 2017-11-15 Krzysztof Ptaszynski

We present a theoretical study of time-dependent quantum transport in a resonant tunnel junction coupled to a nanomechanical oscillator within the non-equilibrium Green's function technique. An arbitrary voltage is applied to the tunnel…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 M. Tahir , A. MacKinnon

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

We consider a periodic quantum clock based on cooperative resonance fluorescence at zero temperature. In the quantum case, this system has an exact steady state and the limit cycle appears in conditional quantum dynamics under homodyne…

Quantum Physics · Physics 2025-03-18 Varinder Singh , Euijoon Kwon , G J Milburn

A fundamental description of time can be consistent not only with the usual monotonic behavior but also with a periodic physical clock variable, coupled to the degrees of freedom of a system evolving in time. Generically, one would in fact…

Quantum Physics · Physics 2022-05-25 Martin Bojowald , Luiz Martinez , Garrett Wendel

We present a derivation of the structure and dynamics of a ticking clock by showing that for finite systems a single natural principle serves to distinguish what we understand as ticking clocks from time-keeping systems in general. As a…

Quantum Physics · Physics 2023-06-06 Ralph Silva , Nuriya Nurgalieva , Henrik Wilming

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…

We simulate the dynamics of a single-electron source, modeled as a quantum dot with on-site Coulomb interaction and tunnel coupling to an adjacent lead, in time-dependent density functional theory. Based on this system, we develop a…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 Niklas Dittmann , Janine Splettstoesser , Nicole Helbig

We investigate the role of nonclassical temporal correlations in enhancing the performance of ticking clocks in a discrete-time scenario. We show that the problem of optimal models for ticking clocks is related to the violation of…

Quantum Physics · Physics 2021-07-30 Costantino Budroni , Giuseppe Vitagliano , Mischa P. Woods

Measuring time means counting the occurrence of periodic phenomena. Over the past centuries a major effort was put to make stable and precise oscillators to be used as clock regulators. Here we consider a different class of clocks based on…

Quantum Physics · Physics 2022-07-20 Dario Cilluffo

Weakly coupled oscillators adjust their dynamics to work in unison: they synchronize. This ubiquitous phenomenon is observed for oscillating pendulum, electronic devices, as well as clapping crowds or flashing fireflies. In effect,…

Soft Condensed Matter · Physics 2026-03-24 Yaocheng Li , Ivan Palaia , Jinzi Mac Huang , Antoine Aubret , Jeremie Palacci

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

This paper investigates a new formalism to describe real time evolution of quantum systems at finite temperature. A time correlation function among subsystems will be derived which allows for a probabilistic interpretation. Our derivation…

High Energy Physics - Theory · Physics 2009-10-31 E. Mendel , M. Nest

We introduce the concept of an entangled clock, where the flow of time is operationally defined by the discrete registration of measurement outcomes on a singlet state. Comparing the synchronization rate of two such clocks against classical…

Quantum Physics · Physics 2025-12-12 Karl Svozil

Processes such as quantum computation, or the evolution of quantum cellular automata are typically described by a unitary operation implemented by an external observer. In particular, an interaction is generally turned on for a precise…

Quantum Physics · Physics 2018-11-06 Mischa P. Woods , Ralph Silva , Jonathan Oppenheim

We bring a Bayesian approach to the analysis of clocks. Using exponential distributions as priors for clocks, we analyze how well one can keep time with a single qubit freely precessing under a magnetic field. We find that, at least with a…

The local electronic structure on nanoscale chains is investigated theoretically. We propose a mechanism to explain the even-odd oscillation of length distribution of atom chains. We study the spatial peak structure as obtained by scanning…

Strongly Correlated Electrons · Physics 2007-09-13 Andre M. C. Souza , Hans Herrmann

Being able to measure time, whether directly or indirectly, is a significant advantage for an organism. It permits it to predict regular events, and prepare for them on time. Thus, clocks are ubiquitous in biology. In the present paper, we…

Other Quantitative Biology · Quantitative Biology 2017-06-23 Andrei D. Robu , Christoph Salge , Chrystopher L. Nehaniv , Daniel Polani

We examine the emergence of periodicity in a non-interacting steady-state quantum system without external drive inspired by quantum time crystals' spontaneous time-translation symmetry breaking. Specifically, we consider a lattice ring of…

Quantum Physics · Physics 2024-02-08 David S. Schlegel , Stefan Kehrein