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Quantitative Autonomic Testing
Published on: July 19, 2011
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Quantum speed limit constraints on a nanoscale autonomous refrigerator
Chiranjib Mukhopadhyay1, Avijit Misra2, Samyadeb Bhattacharya1,3
1Harish-Chandra Research Institute, HBNI, Allahabad 211019, India.
Physical Review. E
|July 18, 2018
Summary
The quantum speed limit impacts quantum absorption refrigerators, revealing a trade-off between cooling rate and time to reach steady state. A new metric, bounding second-order cooling rate, improves with qubit interaction and coherence.
Area of Science:
- Quantum thermodynamics
- Quantum information science
Background:
- Quantum speed limit imposes fundamental constraints on the dynamics of quantum systems.
- Quantum absorption refrigerators are gaining attention for their potential applications.
Purpose of the Study:
- To investigate the influence of the quantum speed limit on the performance of quantum absorption refrigerators.
- To establish a relationship between cooling rate and steady-state achievement time.
Main Methods:
- Analysis of the quantum speed limit's effect on a quantum absorption refrigerator model.
- Definition and analysis of a new figure of merit: the bounding second-order cooling rate.
- Investigation of factors influencing this metric, including unitary interaction, thermalization strength, and initial coherence.
Main Results:
- A trade-off exists between the steady cooling rate and the time to reach the steady state.
- The bounding second-order cooling rate scales linearly with unitary interaction strength.
- Coherence in the initial three-qubit system significantly enhances the bounding second-order cooling rate.
- Efficiency at maximum bounding second-order cooling rate resembles the Curzon-Ahlborn relation.
Conclusions:
- The quantum speed limit fundamentally affects quantum absorption refrigerator performance.
- The bounding second-order cooling rate offers a new perspective on refrigerator optimization.
- Harnessing coherence is crucial for improving the performance of quantum refrigerators.
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