Work fluctuations and entanglement in quantum batteries

• URL: http://arxiv.org/abs/2205.08447v1
• Date: Tue, 17 May 2022 15:42:21 GMT
• Title: Work fluctuations and entanglement in quantum batteries
• Authors: Satoya Imai, Otfried G\"uhne, and Stefan Nimmrichter
• Abstract summary: We characterize quantum correlations by monitoring the average energy change and its fluctuations in the high-dimensional bipartite systems. We derive a hierarchy of bounds on high-dimensional entanglement (the so-called Schmidt number) from the work fluctuations. We develop two-point measurement protocols with noisy detectors that can estimate work fluctuations.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider quantum batteries given by composite interacting quantum systems in terms of the thermodynamic work cost of local random unitary processes. We characterize quantum correlations by monitoring the average energy change and its fluctuations in the high-dimensional bipartite systems. We derive a hierarchy of bounds on high-dimensional entanglement (the so-called Schmidt number) from the work fluctuations and thereby show that larger work fluctuations can verify the presence of stronger entanglement in the system. Finally, we develop two-point measurement protocols with noisy detectors that can estimate work fluctuations, showing that the dimensionality of entanglement can be probed in this manner.

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