Floquet driven long-range interactions induce super-extensive scaling in quantum batteries
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arXiv
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| Format: | Preprint |
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2024
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| author | Puri, Stavya Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen |
| author_facet | Puri, Stavya Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen |
| contents | Achieving quantum advantage in energy storage and power extraction is a primary objective in the design of quantum-based batteries. We explore how long-range (LR) interactions in conjunction with Floquet driving can improve the performance of quantum batteries, particularly when the battery is initialized in a fully polarized state. In particular, we analytically prove that the upper bound of the instantaneous power obtained through this system-charger duo scales quadratically with moderate system-size. By optimizing the driving frequency, we demonstrate that the maximum average power which is a lower bound of the instantaneous power can achieve the super-extensive scaling with system-size, thereby providing genuine quantum advantage. Further, we illustrate that the inclusion of either two-body or many-body interaction terms in the LR charging Hamiltonian leads to a scaling benefit. We also discover that a super-linear scaling in power results from increasing the strength of interaction compared to the transverse magnetic field and the range of interaction with low fall-off rate, highlighting the advantageous role of long-range interactions in optimizing quantum battery charging. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00921 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Floquet driven long-range interactions induce super-extensive scaling in quantum batteries Puri, Stavya Konar, Tanoy Kanti Lakkaraju, Leela Ganesh Chandra De, Aditi Sen Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases Achieving quantum advantage in energy storage and power extraction is a primary objective in the design of quantum-based batteries. We explore how long-range (LR) interactions in conjunction with Floquet driving can improve the performance of quantum batteries, particularly when the battery is initialized in a fully polarized state. In particular, we analytically prove that the upper bound of the instantaneous power obtained through this system-charger duo scales quadratically with moderate system-size. By optimizing the driving frequency, we demonstrate that the maximum average power which is a lower bound of the instantaneous power can achieve the super-extensive scaling with system-size, thereby providing genuine quantum advantage. Further, we illustrate that the inclusion of either two-body or many-body interaction terms in the LR charging Hamiltonian leads to a scaling benefit. We also discover that a super-linear scaling in power results from increasing the strength of interaction compared to the transverse magnetic field and the range of interaction with low fall-off rate, highlighting the advantageous role of long-range interactions in optimizing quantum battery charging. |
| title | Floquet driven long-range interactions induce super-extensive scaling in quantum batteries |
| topic | Quantum Physics Mesoscale and Nanoscale Physics Quantum Gases |
| url | https://arxiv.org/abs/2412.00921 |