A Quantum Mechanical Pendulum Clock

Abstract

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.

Close to the final version, which is open access in PRA

References in corpus (29)

• Cavity Optomechanics
• Thermodynamic uncertainty relation for biomolecular processes
• Dissipation bounds all steady-state current fluctuations
• How small can thermal machines be? The smallest possible refrigerator
• Introduction to the Dicke model: from equilibrium to nonequilibrium, and vice versa
• On the Local and Global Approaches to Quantum Transport and Violation of the Second-law of Thermodynamics
• Markovian master equations for quantum thermal machines: local vs global approach
• Cost and Precision of Brownian Clocks
• Minimal universal quantum heat machine
• Current fluctuations in open quantum systems: Bridging the gap between quantum continuous measurements and full counting statistics
• Minimal Self-Contained Quantum Refrigeration Machine Based on Four Quantum Dots
• A thermodynamically consistent Markovian master equation beyond the secular approximation
• Concepts of work in autonomous quantum heat engines
• Measuring the thermodynamic cost of timekeeping
• Classical pendulum clocks break the thermodynamic uncertainty relation
• The thermodynamics of clocks
• Quantum statistics of a single-atom Scovil-Schulz-DuBois heat engine
• Nonreciprocal Synchronization of Active Quantum Spins
• Autonomous Temporal Probability Concentration: Clockworks and the Second Law of Thermodynamics
• Effect of Measurement Backaction on Quantum Clock Precision Studied with a Superconducting Circuit
• Fundamental accuracy-resolution trade-off for timekeeping devices
• Optimal time estimation and the clock uncertainty relation for stochastic processes
• Optomechanical cooling with coherent and squeezed light: the thermodynamic cost of opening the heat valve
• Precision is not limited by the second law of thermodynamics
• Autonomous Quantum Devices: When Are They Realizable without Additional Thermodynamic Costs?
• Active Frequency Measurement on Superradiant Strontium Clock Transitions
• Autonomous quantum clocks using athermal resources
• Powering an autonomous clock with quantum electromechanics
• The superconducting clock-circuit: Improving the coherence of Josephson radiation beyond the thermodynamic uncertainty relation