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Clocks play a special role at the interface of general relativity and quantum mechanics. We analyze a clock-interferometry thought experiment and go on to theoretically derive and experimentally test a complementarity relation for quantum…

Quantum Physics · Physics 2018-08-01 Zhifan Zhou , Yair Margalit , Daniel Rohrlich , Yonathan Japha , Ron Folman

The inexorable miniaturisation of technologies, the relentless drive to improve efficiency and the enticing prospect of boosting performance through quantum effects are all compelling reasons to investigate microscopic machines. Thermal…

Quantum Physics · Physics 2019-10-18 Mark T. Mitchison

Motivated by the Generalized Uncertainty Principle, covariance, and a minimum measurable time, we propose a deformation of the Heisenberg algebra and show that this leads to corrections to all quantum mechanical systems. We also demonstrate…

General Physics · Physics 2016-01-27 Mir Faizal , Mohammed M. Khalil , Saurya Das

It has recently been reported [\textit{PNAS} \textbf{114}, 2303 (2017)] that, under an operational definition of time, quantum clocks would get entangled through gravitational effects. Here we study an alternative scenario: the clocks have…

Quantum Physics · Physics 2019-11-14 Jieci Wang , Tonghua Liu , Jiliang Jing , Songbai Chen

In this review we present the problem of time in quantum physics, including a short history of the problem and the known objections about considering time a quantum observable. The need to deal with time as an observable is elaborated…

Quantum Physics · Physics 2022-06-13 M. Basil Altaie , Daniel Hodgson , Almut Beige

Precise time synchronisation underpins critical infrastructure from telecommunications and financial markets to power grids and scientific metrology. Several families of quantum protocols have been proposed and demonstrated for clock…

Quantum Physics · Physics 2026-04-14 Michal Krelina , Utku Tefek , Zeki C. Seskir , Kadir Durak

Time crystals are many-body states that spontaneously break translation symmetry in time the way that ordinary crystals do in space. While experimental observations have confirmed the existence of discrete or continuous time crystals, these…

Quantum Physics · Physics 2023-10-10 Yu-Hui Chen , Xiangdong Zhang

Counterfactuals in quantum theory are briefly reviewed and it is argued that they are very different from counterfactuals considered in the general philosophical literature. The issue of time symmetry of quantum counterfactuals is…

Quantum Physics · Physics 2007-05-23 L. Vaidman

Atomic clocks are at the leading edge of accuracy and precision and are essential for synchronization of distributed critical infrastructure, position, navigation and timing, and scientific applications. There has been a breakthrough in the…

Time crystals are many-body systems that spontaneously break time-translation symmetry, and thus exhibit long-range spatiotemporal order and robust periodic motion. Recent results have demonstrated how to build time-crystal phases in driven…

Statistical Mechanics · Physics 2025-04-11 R. Hurtado-Gutiérrez , C. Pérez-Espigares , P. I. Hurtado

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

A review of new aspects concerning time-symmetry in Quantum Mechanics.

Quantum Physics · Physics 2007-06-11 Yakir Aharonov , Jeff Tollaksen

Entangled states of light exhibit measurable correlations between light detections at separated locations. These correlations are exploited in entangled-state quantum key distribution. To do so involves setting up and maintaining a rhythm…

Quantum Physics · Physics 2020-04-27 F. Hadi Madjid , John M. Myers

A simple model of a quantum clock is applied to the old and controversial problem of how long a particle takes to tunnel through a quantum barrier. The model I employ has the advantage of yielding sensible results for energy eigenstates,…

Quantum Physics · Physics 2009-11-10 P. C. W. Davies

A quasi-static process is realized in a purely quantum-mechanical model which is described by oscillator (or particle) systems having relative-phase interactions. Time development of a mixture of two oscillator (or particle) systems which…

Statistical Mechanics · Physics 2016-08-31 T. Kobayashi

We investigate the use of a boundary time crystals (BTCs) as quantum sensors of AC fields. Boundary time crystals are non-equilibrium phases of matter in contact to an environment, for which a macroscopic fraction of the many-body system…

Quantum Physics · Physics 2025-03-19 Dominic Gribben , Anna Sanpera , Rosario Fazio , Jamir Marino , Fernando Iemini

Clock synchronisation relies on time-frequency transfer procedures which involve quantum fields. We use the conformal symmetry of such fields to define as quantum operators the time and frequency exchanged in transfer procedures and to…

Quantum Physics · Physics 2009-10-30 Marc-Thierry Jaekel , Serge Reynaud

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

Time crystal is defined as a phase of matter spontaneously exhibiting a periodicity in time. Previous studies focused on discrete quantum time crystals under periodic drive. Here, we propose a time crystal model based on a levitated charged…

Quantum Physics · Physics 2020-08-27 Yi Huang , Qihao Guo , Anda Xiong , Tongcang Li , Zhang-qi Yin

In order to unitarily evolve a quantum system, an agent requires knowledge of time, a parameter which no physical clock can ever perfectly characterise. In this letter, we study how limitations on acquiring knowledge of time impact…

Quantum Physics · Physics 2023-10-24 Jake Xuereb , Florian Meier , Paul Erker , Mark T. Mitchison , Marcus Huber