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Low-temperature thermodynamics with quantum coherence

Author

Listed:
  • Varun Narasimhachar

    (University of Calgary)

  • Gilad Gour

    (University of Calgary)

Abstract

Thermal operations are an operational model of non-equilibrium quantum thermodynamics. In the absence of coherence between energy levels, exact state transition conditions under thermal operations are known in terms of a mathematical relation called thermo-majorization. But incorporating coherence has turned out to be challenging, even under the relatively tractable model wherein all Gibbs state-preserving quantum channels are included. Here we find a mathematical generalization of thermal operations at low temperatures, ‘cooling maps’, for which we derive the necessary and sufficient state transition condition. Cooling maps that saturate recently discovered bounds on coherence transfer are realizable as thermal operations, motivating us to conjecture that all cooling maps are thermal operations. Cooling maps, though a less-conservative generalization to thermal operations, are more tractable than Gibbs-preserving operations, suggesting that cooling map-like models at general temperatures could be of use in gaining insight about thermal operations.

Suggested Citation

  • Varun Narasimhachar & Gilad Gour, 2015. "Low-temperature thermodynamics with quantum coherence," Nature Communications, Nature, vol. 6(1), pages 1-6, November.
  • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms8689
    DOI: 10.1038/ncomms8689
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    Cited by:

    1. Jianan Yin & Yang Yan & Mulin Miao & Jiayin Tang & Jiali Jiang & Hui Liu & Yuhan Chen & Yinxian Chen & Fucong Lyu & Zhengyi Mao & Yunhu He & Lei Wan & Binbin Zhou & Jian Lu, 2024. "Diamond with Sp2-Sp3 composite phase for thermometry at Millikelvin temperatures," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    2. Uttam Singh & Arun Kumar Pati & Manabendra Nath Bera, 2016. "Uncertainty Relations for Quantum Coherence," Mathematics, MDPI, vol. 4(3), pages 1-12, July.
    3. Slaoui, Abdallah & Salah, Ahmed & Daoud, Mohammed, 2020. "Influence of Stark-shift on quantum coherence and non-classical correlations for two two-level atoms interacting with a single-mode cavity field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).

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