A Quantum Mechanical Pendulum Clock

Fuente: arXiv
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Bibliographic Details
Main Authors: Brunelli, Matteo, Mehboudi, Mohammad, Brunner, Nicolas, Potts, Patrick P.
Format: Preprint
Published: 2025
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author Brunelli, Matteo
Mehboudi, Mohammad
Brunner, Nicolas
Potts, Patrick P.
author_facet Brunelli, Matteo
Mehboudi, Mohammad
Brunner, Nicolas
Potts, Patrick P.
contents We investigate an optomechanical system as a model of an autonomous mechanical pendulum clock in the quantum regime, whose operation relies only on incoherent (thermal) resources. The escapement of the clock, the mechanism that translates oscillatory motion into ticks, is provided by an emitter in the optical cavity and the operation of the clock relies on the existence of a limit cycle. Since the clock is based on an oscillatory degree of freedom, it can overcome the thermodynamic uncertainty relation and is thus more accurate than clocks that rely only on stochastic transitions. Furthermore, by increasing the amount of emitters in the cavity, the clock approaches the behavior expected for a macroscopic pendulum clock, where fluctuations become irrelevant while the clock dynamics becomes completely irreversible. This allows for investigating the quantum-to-classical transition of pendulum clocks.
format Preprint
id arxiv_https___arxiv_org_abs_2506_10666
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A Quantum Mechanical Pendulum Clock
Brunelli, Matteo
Mehboudi, Mohammad
Brunner, Nicolas
Potts, Patrick P.
Quantum Physics
We investigate an optomechanical system as a model of an autonomous mechanical pendulum clock in the quantum regime, whose operation relies only on incoherent (thermal) resources. The escapement of the clock, the mechanism that translates oscillatory motion into ticks, is provided by an emitter in the optical cavity and the operation of the clock relies on the existence of a limit cycle. Since the clock is based on an oscillatory degree of freedom, it can overcome the thermodynamic uncertainty relation and is thus more accurate than clocks that rely only on stochastic transitions. Furthermore, by increasing the amount of emitters in the cavity, the clock approaches the behavior expected for a macroscopic pendulum clock, where fluctuations become irrelevant while the clock dynamics becomes completely irreversible. This allows for investigating the quantum-to-classical transition of pendulum clocks.
title A Quantum Mechanical Pendulum Clock
topic Quantum Physics
url https://arxiv.org/abs/2506.10666