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We derive the time dilation formula for charged quantum clocks in electromagnetic fields. As a concrete example of non-inertial motion, we consider a cyclotron motion in a uniform magnetic field. Applying the time dilation formula to…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Takeshi Chiba , Shunichiro Kinoshita

In contrast to the well-known phenomenon of frequency stabilization in a synchronized noisy nonlinear oscillator, little is known about its amplitude stability. In this paper, we investigate experimentally and theoretically the amplitude…

Applied Physics · Physics 2022-05-18 Martial Defoort , Sébastien Hentz , Steven W. Shaw , Oriel Shoshani

We have re-analyzed the stability of pulse arrival times from pulsars and white dwarfs using several analysis tools for measuring the noise characteristics of sampled time and frequency data. We show that the best terrestrial artificial…

Instrumentation and Methods for Astrophysics · Physics 2011-01-12 John G. Hartnett , Andre Luiten

We present a review of recent works devoted to the variation of the fine structure constant alpha, strong interaction and fundamental masses. There are some hints for the variation in quasar absorption spectra, Big Bang nucleosynthesis, and…

Atomic Physics · Physics 2009-08-18 V. V. Flambaum

We introduce methods for clock synchronization that make use of the adiabatic exchange of nondegenerate two-level quantum systems: ticking qubits. Schemes involving the exchange of N independent qubits with frequency $\omega$ give a…

Quantum Physics · Physics 2016-09-08 Mark de Burgh , Stephen D. Bartlett

Quantum simulation is a central application of near-term quantum devices, pursued in both analog and digital architectures. A key challenge for both paradigms is the effect of imperfections and noise on predictive power. In this work, we…

Quantum Physics · Physics 2026-05-05 Jayant Rao , Jens Eisert , Tommaso Guaita

The local conservation of a physical quantity whose distribution changes with time is mathematically described by the continuity equation. The corresponding time parameter, however, is defined with respect to an idealized classical clock.…

Chemical Physics · Physics 2018-11-21 Axel Schild

We investigate the feasibility of precision frequency metrology with large ion crystals. For clock candidates with a negative differential static polarisability, we show that micromotion effects should not impede the performance of the…

Quantum Physics · Physics 2016-10-25 Kyle Arnold , Elnur Haciyev , Eduardo Paez , Chern Hui Lee , John Bollinger , M. D. Barrett

Collisions with background gas particles can shift the resonance frequencies of atoms in atomic clocks. The internal quantum states of atoms can also become entangled with their motional states due to the recoil imparted by a collision,…

Atomic Physics · Physics 2018-12-05 Amar Vutha , Tom Kirchner , Pierre Dubé

Optical clocks based on atoms and ions probe relativistic effects with unprecedented sensitivity by resolving time dilation due to atom motion or different positions in the gravitational potential through frequency shifts. However, all…

Quantum Physics · Physics 2026-04-22 Gabriel Sorci , Joshua Foo , Dietrich Leibfried , Christian Sanner , Igor Pikovski

Quantum harmonic oscillators are central to many modern quantum technologies. We introduce a method to determine the frequency noise spectrum of oscillator modes through coupling them to a qubit with continuously driven…

Some of the most enduring questions in physics--including the quantum measurement problem and the quantization of gravity--involve the interaction of a quantum system with a classical environment. Two linearly coupled harmonic oscillators…

Quantum Physics · Physics 2007-05-23 Rachael M. McDermott , Ian H. Redmount

We study how quantum and thermal noise affects synchronization of two optomechanical limit-cycle oscillators. Classically, in the absence of noise, optomechanical systems tend to synchronize either in-phase or anti-phase. Taking into…

Quantum Physics · Physics 2016-01-26 Talitha Weiss , Andreas Kronwald , Florian Marquardt

The fundamental limits of atomic fountains as operational clocks are considered. Four rubidium fountains in operation at the U.S. Naval Observatory for over 5.5 years have demonstrated unprecedented long-term stability for continuously…

Atomic Physics · Physics 2017-04-06 Steven Peil , Thomas B. Swanson , James Hanssen , Jennifer Taylor

We have investigated the benefits of spin squeezed states for clocks operated with typical Brownian frequency noise-limited laser sources. Based on an analytic model of the closed servo-loop of an optical atomic clock, we can give…

Quantum Physics · Physics 2021-03-30 Marius Schulte , Christian Lisdat , Piet O. Schmidt , Uwe Sterr , Klemens Hammerer

Comparisons of high-accuracy optical atomic clocks \cite{Ludlow2015} are essential for precision tests of fundamental physics \cite{Safronova2018}, relativistic geodesy \cite{McGrew2018, Grotti2018, Delva2019}, and the anticipated…

Out-of-time-ordered-correlators (OTOCs) have been suggested as a means to diagnose chaotic behavior in quantum mechanical systems. Recently, it was found that OTOCs display exponential growth for the inverted quantum harmonic oscillator,…

High Energy Physics - Theory · Physics 2024-08-26 Paul Romatschke

Active optical frequency standards provide interesting alternatives to their passive counterparts. Particularly, such a clock alone continuously generates highly-stable narrow-line laser radiation. Thus a local oscillator is not required to…

Atomic Physics · Physics 2022-12-07 Georgy A. Kazakov , Swadheen Dubey , Anna Bychek , Uwe Sterr , Marcin Bober , Michał Zawada

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

Atomic clocks are crucial for science and technology, but their sensitivity is often restricted by the standard quantum limit. To surpass this limit, correlations between particles or interrogation times must be leveraged. Although the…

Quantum Physics · Physics 2024-10-28 Chengyin Han , Zhu Ma , Yuxiang Qiu , Ruihuan Fang , Jiatao Wu , Chang Zhan , Maojie Li , Jiahao Huang , Bo Lu , Chaohong Lee
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