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In trapped-atom clocks, the primary source of decoherence is often the phase noise of the oscillator. For this case, we derive theoretical performance gains by combining several atomic ensembles. For example, M ensembles of N atoms can be…

Quantum Physics · Physics 2013-11-15 T. Rosenband , D. R. Leibrandt

Dynamic optimisation occurs in a variety of real-world problems. To tackle these problems, evolutionary algorithms have been extensively used due to their effectiveness and minimum design effort. However, for dynamic problems, extra…

Neural and Evolutionary Computing · Computer Science 2020-08-11 Maryam Hasani Shoreh , Renato Hermoza Aragonés , Frank Neumann

Statistical estimation theory determines the optimal way of estimating parameters of a fluctuating noisy signal. However, if the estimation is performed on unreliable hardware, a sub-optimal estimation procedure can outperform the…

Statistical Mechanics · Physics 2017-09-28 Weerapat Pittayakanchit , Zhiyue Lu , Justin Chew , Michael J. Rust , Arvind Murugan

The circadian clock can adapt itself to external cues, but the molecular mechanisms and regulatory networks governing circadian oscillations' transient adjustments are still largely unknown. Here we consider the specific case of circadian…

Molecular Networks · Quantitative Biology 2023-04-18 Ziyu Zhao , Dae-Sung Hwangbo , Sumit Saurabh , Clark Rosensweig , Ravi Allada , William L. Kath , Rosemary Braun

Clock synchronization is a very fundamental task in distributed system. It thus makes sense to require an underlying clock synchronization mechanism to be highly fault-tolerant. A self-stabilizing algorithm seeks to attain synchronization…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Ariel Daliot , Danny Dolev , Hanna Parnas

We consider synchronization of chaotic systems coupled indirectly through a common environmnet where the environment has an intrinsic dynmics of its own modulated via feedback from the systems. We find that a rich vareity of synchronization…

Chaotic Dynamics · Physics 2010-05-05 V. Resmi , G. Ambika , R. E. Amritkar

Some nonlinear radiations such as superfluorescence can be understood as cooperative effects between atoms. We regard the cooperative radiation as a manifested effect secondary to the intrinsic synchronization among the atoms and propose a…

Quantum Physics · Physics 2020-08-13 Tiantian Huan , Ri-gui Zhou , Hou Ian

We demonstrate an unsuspected freedom in physics, by showing an essential unpredictability in the relation between the behavior of clocks on the workbench and explanations of that behavior written in symbols on the blackboard. In theory,…

General Physics · Physics 2019-11-13 John M. Myers , F. Hadi Madjid

We propose powering a quantum clock with the non-thermal resources offered by the stationary state of an integrable quantum spin chain, driven out of equilibrium by a quench in a parameter of our choice. Analyzing the bias conditions of the…

Quantum Physics · Physics 2024-12-18 Daniele Nello , Alessandro Silva

For the first time, using a modified Ikeda model it is demonstrated analytically that anticipating synchronization can be obtained in chaotic time-delay systems governed by two characteristic delay times. We derive existence and stability…

Chaotic Dynamics · Physics 2007-05-23 E. M. Shahverdiev , S. Sivaprakasam , K. A. Shore

Control scenarios have been identified where the use of randomized design may substantially improve the performance of dynamical decoupling methods [L. F. Santos and L. Viola, Phys. Rev. Lett. {\bf 97}, 150501 (2006)]. Here, by focusing on…

Quantum Physics · Physics 2009-11-13 Lea F. Santos , Lorenza Viola

An optoelectronic oscillator exhibiting a large delay in its feedback loop is studied both experimentally and theoretically. We show that multiple square-wave oscillations may coexist for the same values of the parameters…

Optics · Physics 2015-01-14 Lionel Weicker , Thomas Erneux , David P. Rosin , Daniel J. Gauthier

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

This tutorial, addressing physics teachers and undergraduate students, aims at clarifying some aspects of time in special relativity. In particular, time dilation is usually presented only as the well-known ratio of lab time over proper…

Physics Education · Physics 2023-06-19 Winfried A. Mitaroff

Rhythmic data are ubiquitous in the life sciences. Biologists need reliable statistical tests to identify whether a particular experimental treatment has caused a significant change in a rhythmic signal. When these signals display…

Early scheduling algorithms usually adjusted the clock cycle duration to the execution time of the slowest operation. This resulted in large slack times wasted in those cycles executing faster operations. To reduce the wasted times…

Hardware Architecture · Computer Science 2011-11-09 R. Ruiz-Sautua , M. C. Molina , J. M. Mendias , R. Hermida

A clock synchronizing circuit for repeaterless low swing interconnects is presented in this paper. The circuit uses a delay locked loop (DLL) to generate multiple phases of the clock, of which the one closest to the center of the eye is…

Hardware Architecture · Computer Science 2015-10-15 Naveen Kadayinti , Maryam Shojaei Baghini , Dinesh K. Sharma

This paper presents a distributed hybrid algorithm that synchronizes the time and rate of a set of clocks connected over a network. Clock measurements of the nodes are given at aperiodic time instants and the controller at each node uses…

Optimization and Control · Mathematics 2022-07-11 Marcello Guarro , Ricardo G. Sanfelice

Time delayed feedback control is one of the most successful methods to discover dynamically unstable features of a dynamical system in an experiment. This approach feeds back only terms that depend on the difference between the current…

Dynamical Systems · Mathematics 2016-04-26 Jan Sieber

Finding conditions that support synchronization is a fertile and active area of research with applications across multiple disciplines. Here we present and analyze a scheme for synchronizing chaotic dynamical systems by transiently…

Chaotic Dynamics · Physics 2015-08-27 Malte Schröder , Manu Mannattil , Debabrata Dutta , Sagar Chakraborty , Marc Timme