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Related papers: Incorporating an Optical Clock into a Time Scale

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We present a scheme for entangling the atoms of an optical lattice to reduce the quantum projection noise of a clock measurement. The divalent clock atoms are held in a lattice at a ``magic'' wavelength that does not perturb the clock…

Quantum Physics · Physics 2015-05-14 Jonathan D. Weinstein , Kyle Beloy , Andrei Derevianko

The Thermal Time Hypotheis (TTH) has been proposed as a general method for identifying a time variable from within background-free theories which do not come equipped with a pre-defined clock variable. Here, we explore some implications of…

General Relativity and Quantum Cosmology · Physics 2011-08-04 Nicolas C. Menicucci , S. Jay Olson , Gerard J. Milburn

Collisions with background gas can perturb the transition frequency of trapped ions in an optical atomic clock. We develop a non-perturbative framework based on a quantum channel description of the scattering process, and use it to derive a…

Atomic Physics · Physics 2017-09-01 Amar C. Vutha , Tom Kirchner , Pierre Dubé

We provide an overview of theories of continuous time computation. These theories allow us to understand both the hardness of questions related to continuous time dynamical systems and the computational power of continuous time analog…

Computational Complexity · Computer Science 2009-07-20 Olivier Bournez , Manuel Campagnolo

In the wake of our recent work on cyclotomic effects in quantum phase locking [M. Planat and H. C. Rosu, Phys. Lett. A 315, 1 (2003)], we briefly discuss here a cyclotomic extension of the Salecker and Wigner quantum clock. We also hint on…

Quantum Physics · Physics 2007-05-23 H. C. Rosu , M. Planat

Compact optical clocks with high stability are essential for next-generation frequency standard field applications, from navigation to geodesy, yet existing vapor cell clock systems have remained confined to fractional instabilities over…

This paper utilizes the recently proposed cubic observer to estimate the state of a class of nonlinear systems. The cubic observer is proposed as an alternative to linear observers for improved convergence rate and robustness. It is shown…

Optimization and Control · Mathematics 2019-12-24 Mohammad Mahdi Share Pasand

A new idea for a binary clock is presented. It displays the time using a triangular array of 15 bits. It is shown that such a geometric, triangular arrangement is only possible because our system of time divisions is based on a sexagesimal…

History and Overview · Mathematics 2010-06-09 Joerg Pretz

We analyze spin squeezing via Rydberg dressing in optical lattice clocks with random fractional filling. We compare the achievable clock stability in different lattice geometries, including unity-filled tweezer clock arrays and fractionally…

Quantum Physics · Physics 2021-02-17 Jacques Van Damme , Xin Zheng , Mark Saffman , Maxim G. Vavilov , Shimon Kolkowitz

We critically discuss the measure of very short time intervals. By means of a "gedankenexperiment", we describe an ideal clock based on the occurrence of completely random events. We show that the minimum time interval Delta t that this…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Luciano Burderi , Tiziana Di Salvo

We revisit a recent proposal for a definition of time in quantum cosmology, to investigate the effects of having more than one possible type of clock "at the same time". We use as test tube an extension of Einstein gravity with a massless…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Bruno Alexandre , João Magueijo

Optical interconnect is seen as a potential solution to meet the performance requirements of current and future generation of data processors. Optical interconnects have negligible frequency dependent loss, low cross talk and high band…

Emerging Technologies · Computer Science 2013-03-19 Sumita Mishra , Naresh K Chaudhary , Kalyan Singh

Timed automata are a common formalism for the verification of concurrent systems subject to timing constraints. They extend finite-state automata with clocks, that constrain the system behavior in locations, and to take transitions. While…

Cryptography and Security · Computer Science 2022-06-08 Johan Arcile , Étienne André

The main objective of the paper is to establish explicit estimates on some applicable inequalities in two variables on time scales which can be used in the study of certain qualitative properties of dynamical equations on time scales.

Analysis of PDEs · Mathematics 2015-06-19 Deepak B. Pachpatte

The telecommunications industry's deployment of billions of kilometers of optical fiber has created a vast global network that can be exploited for additional applications such as environmental sensing, quantum networking and international…

Arguments are given that time must be defined in an operative manner,i.e., by constructing devices which can serve as clocks.The investigation of such devices leads to the conclusion that there is a principal uncertainity of time if one…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Martin Schoen

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

We develop a rigorously controlled multi-time scale averaging technique; the averaging is done on a finite time interval, properly chosen, and then, via iterations and normal form transformations, the time intervals are scaled to arbitrary…

Mathematical Physics · Physics 2013-08-16 Shmuel Fishman , Avy Soffer

Distributed fault-tolerance can mask the effect of a limited number of permanent faults, while self-stabilization provides forward recovery after an arbitrary number of transient fault hit the system. FTSS protocols combine the best of both…

Data Structures and Algorithms · Computer Science 2011-02-11 Swan Dubois , Maria Potop-Butucaru , Sébastien Tixeuil

The superb precision of an atomic clock is derived from its stability. Atomic clocks based on optical (rather than microwave) frequencies are attractive because of their potential for high stability, which scales with operational frequency.…

Atomic Physics · Physics 2015-05-20 Y. Y. Jiang , A. D. Ludlow , N. D. Lemke , R. W. Fox , J. A. Sherman , L. -S. Ma , C. W. Oates
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