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Published on: May 3, 2019
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Anomalous thermodynamic cost of clock synchronization
Cheng Yang1, Jiteng Sheng1, Haibin Wu1,2,3,4
1State Key Laboratory of Precision Spectroscopy, Institute of Quantum Science and Precision Measurement, East China Normal University, Shanghai 200062, People's Republic of China.
Summary
This study experimentally investigates clock synchronization thermodynamics. Researchers found unexpected non-monotonic relationships between synchronization degree and entropy cost, revealing energy-time trade-offs.
Area of Science:
- Quantum Thermodynamics
- Optomechanics
- Precision Measurement
Background:
- Clock synchronization is vital for positioning, navigation, and timing systems.
- Fundamental thermodynamic limits and energy costs of clock synchronization remain underexplored.
- Optomechanical systems offer a platform for studying quantum thermodynamics.
Purpose of the Study:
- To experimentally investigate the thermodynamics of two stochastic autonomous clocks synchronization.
- To unveil the relationship between entropy cost and the degree of clock synchronization.
- To explore the trade-offs between energy and time consumption during synchronization.
Main Methods:
- Utilized an open cavity optomechanical system with engineered cavity-mediated dissipative coupling.
- Implemented two interacting stochastic autonomous clocks with disparate decay rates.
- Measured the degree of synchronization against overall entropy cost and analyzed transient dynamics.
Main Results:
- Demonstrated spontaneous synchronization of two clocks due to engineered dissipative coupling.
- Observed an unexpected non-monotonic dependence of synchronization degree on total entropy cost.
- Revealed a monotonic decrease in synchronization degree with increasing entropy cost for synchronization itself.
- Exposed a trade-off between energy and time consumption in transient synchronization dynamics.
Conclusions:
- Established the feasibility of clock synchronization in an effective linear system.
- Unveiled fundamental thermodynamic relations governing clock synchronization.
- Highlighted potential applications in precision measurements, quantum networks, and biological sciences.
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