Comment on "Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries"

• URL: http://arxiv.org/abs/2102.04921v3
• Date: Fri, 16 Jul 2021 07:47:24 GMT
• Title: Comment on "Fluctuations in Extractable Work Bound the Charging Power of Quantum Batteries"
• Authors: Shang-Yung Wang
• Abstract summary: We point out a few mistakes in the analysis and obtain the correct bound on the charging power. In this Comment, we point out a few mistakes in the analysis and obtain the correct bound on the charging power.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In an article by Garc\'ia-Pintos et al. [Rev. Lett. 125, 040601 (2020)] the connection between the charging power of a quantum battery and the fluctuations of a "free energy operator" whose expectation value characterizes the maximum extractable work of the battery is studied. The result of the closed-system analysis shows that for a general charging process the battery will have a nonzero charging power if and only if the state of the battery is not an eigenstate of the free energy operator. In this Comment, we point out a few mistakes in the analysis and obtain the correct bound on the charging power. Consequently, the result for closed-system dynamics is in general not correct.

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