Optimal energy storage in the Tavis-Cummings quantum battery

Year: 2024

Authors: Yang HY., Shi HL., Wan QK., Zhang K., Wang XH., Yang WL.

Autors Affiliation: Northwest Univ, Sch Phys, Xian 710127, Peoples R China; QSTAR, Largo Enr Fermi 2, I-50125 Florence, Italy; INO CNR, Largo Enr Fermi 2, I-50125 Florence, Italy; Hefei Natl Lab, Hefei 230088, Peoples R China; Chinese Acad Sci, Innovat Acad Precis Measurement Sci & Technol, Wuhan 430071, Peoples R China; Univ Chinese Acad Sci, Beijing 100049, Peoples R China; Shaanxi Key Lab Theoret Phys Frontiers, Xian 710127, Peoples R China; Peng Huanwu Ctr Fundamental Theory, Xian 710127, Peoples R China; Northwest Univ, Inst Modern Phys, Xian 710127, Peoples R China.

Abstract: The Tavis-Cummings (TC) model, which serves as a natural physical realization of a quantum battery, comprises N(b )atoms as battery cells that collectively interact with a shared photon field, functioning as the charger, initially containing n0 photons. In this paper, we introduce the invariant subspace method to effectively represent the quantum dynamics of the TC battery. Our findings indicate that in the limiting case of n(0) >> N-b or N-b >> n(0), a distinct SU(2) symmetry emerges in the dynamics, thereby ensuring the realization of optimal energy storage. We also establish a negative relationship between the battery-charger entanglement and the energy storage capacity. As a result, we demonstrate that asymptotically optimal energy storage can be achieved in the scenario where Nb = n(0 )>> 1. Our approach not only enhances our comprehension of the algebraic structure inherent in the TC model but also contributes to the broader theoretical framework of quantum batteries. Furthermore, it provides crucial insights into the relation between energy transfer and quantum correlations.

Journal/Review: PHYSICAL REVIEW A

Volume: 109 (1)      Pages from: 12204-1  to: 12204-7

More Information: This work was supported by the NSFC (Grants No. 12275215, No. 12305028, No. 12247103, and No. 12175178) , the Major Basic Research Program of Natural Science of Shaanxi Province (Grant No. 2021JCW-19) , Shaanxi Fundamental Science Research Project for Mathematics and Physics (Grant No. 22JSZ005) and the Youth Innovation Team of Shaanxi Universities. Q.-K.W. and H.-L.S. received partial support from the NSFC Key Grants No. 12134015 and No. 92365202. H.-L.S. was supported by the European Commission through the H2020 QuantERA ERA-NET Cofund in Quantum Technologies project MENTA. H.-L.S. and H.-Y.Y. contributed equally to this work.
KeyWords: Radiation-field; Work Extraction; Coherence
DOI: 10.1103/PhysRevA.109.012204

Citations: 3
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