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We investigate a model of a supposedly ideal clock based on the decay rate of a charged particle in circular motion in a constant magnetic field. We show that the time measured by an ideal clock depends on the acceleration. However, the…

Quantum Physics · Physics 2018-02-20 Roberto Pierini , Krzysztof Turzynski , Andrzej Dragan

Optical atomic clocks play a crucial role in fundamental physics, relativistic geodesy, and the future redefinition of the SI second. Standard operation relies on cyclic interrogation sequences, which alternate between atomic interrogation…

It is intuitively imagined that the energy of a classical object always takes continues values and can hardly be confined to discrete ones like the energy levels of microscopic systems. Here, we demonstrate that such classical energy levels…

Pattern Formation and Solitons · Physics 2020-07-29 Bing He , Qing Lin , Miguel Orszag , Min Xiao

Many complex systems can spontaneously oscillate under non-periodic forcing. Such self-oscillators are commonplace in biological and technological assemblies where temporal periodicity is needed, such as the beating of a human heart or the…

The resonance characteristics of a driven damped harmonic oscillator are well known. Unlike harmonic oscillators which are guided by parabolic potentials, a simple pendulum oscillates under sinusoidal potentials. The problem of an undamped…

Classical Physics · Physics 2018-09-26 D. Kharkongor , Mangal C. Mahato

Time crystals, a phase showing spontaneous breaking of time-translation symmetry, has been an intriguing subject for systems far away from equilibrium. Recent experiments found such a phase both in the presence and absence of localization,…

Quantum Gases · Physics 2018-03-21 Biao Huang , Ying-Hai Wu , W. Vincent Liu

This study examines the synchronization of three identical oscillators arranged in an array and coupled by small impacts, wherein each oscillator interacts solely with its nearest neighbor. The synchronized state, which is asymptotically…

Dynamical Systems · Mathematics 2025-03-11 Jorge Buescu , Emma D'Aniello , Henrique M. Oliveira

Delay times in quantum mechanics always represented an intriguing challenge for physicists. Due to the fact that quantum mechanical experiments are, often, hard to be implemented, the possibility to connect delay times with laser lateral…

Quantum Physics · Physics 2022-04-27 Stefano De Leo , Leonardo Solidoro

A finite quantum system evolving unitarily equilibrates in a probabilistic fashion. In the general many-body setting the time-fluctuations of an observable \mathcal{A} are typically exponentially small in the system size. We consider here…

Statistical Mechanics · Physics 2013-01-22 Lorenzo Campos Venuti , Paolo Zanardi

The dispersion cancellation feature of pulses which are entangled in frequency is employed to synchronize clocks of distant parties. The proposed protocol is insensitive to the pulse distortion caused by transit through a dispersive medium.…

Quantum Physics · Physics 2009-11-07 V. Giovannetti , S. Lloyd , L. Maccone , F. N. C. Wong

The quantum theory of the damped harmonic oscillator has been a subject of continual investigation since the 1930s. The obstacle to quantization created by the dissipation of energy is usually dealt with by including a discrete set of…

Quantum Physics · Physics 2015-06-05 T. G. Philbin

Parameters of a special kind of \alpha-effect known in dynamo theory as the Babcock-Leighton mechanism are estimated using the data of sunspot catalogs. The estimates evidence the presence of the Babcock-Leighton \alpha-effect on the Sun.…

Solar and Stellar Astrophysics · Physics 2013-05-14 S. V. Olemskoy , A. R. Choudhuri , L. L. Kitchatinov

This is a translation from Latin of 'De novo oscillationum genere', which was motivated by Krafft's accidental observation of a suspended clock setting itself in constant motion as a pendulum. This publication, in turn, motivated Euler to…

History and Philosophy of Physics · Physics 2021-05-25 Sylvio R Bistafa

It has been speculated that gravity could be an emergent phenomenon, with classical general relativity as an effective, macroscopic theory, valid only for classical systems at large temporal and spatial scales. As in classical continuum…

General Relativity and Quantum Cosmology · Physics 2015-06-24 Huan Yang , Larry R. Price , Nicolas D. Smith , Rana X Adhikari , Haixing Miao , Yanbei Chen

Conventional techniques for laser cooling, by coherent scattering off of internal states or through an optical cavity mode, have so far proved inefficient on mechanical oscillators heavier than a few nanograms. That is because larger…

Quantum Physics · Physics 2022-05-05 Kentaro Komori , Dominika Ďurovčíková , Vivishek Sudhir

Light-pulse atom interferometers based on single-photon transitions are a promising tool for gravitational-wave detection in the mid-frequency band and the search for ultralight dark-matter fields. Here we present a novel measurement scheme…

Atomic Physics · Physics 2025-01-28 Albert Roura

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

In this article, we investigate the dynamical robustness in a network of relaxation oscillators. In particular, we consider a network of diffusively coupled Van der Pol oscillators to explore the aging transition phenomena. Our…

Adaptation and Self-Organizing Systems · Physics 2020-10-28 Biswambhar Rakshit , Niveditha Rajendrakumar , Bipin Balaram

It is argued that any operational measure of time is inseparably bound to the presence of a periodic process in some medium. Since, as first formulated by Einstein's (1905) equation for the energy, all "particles" (neutrons, electrons,…

Quantum Physics · Physics 2007-05-23 Gerhard Groessing

We present an analysis of the different types of noise from the detection and interrogation laser in our strontium lattice clock. We develop a noise model showing that in our setup quantum projection noise--limited detection is possible if…

Atomic Physics · Physics 2016-01-20 Ali Al-Masoudi , Sören Dörscher , Sebastian Häfner , Uwe Sterr , Christian Lisdat