Kitaev Quantum Batteries: Super-Extensive Scaling of Ergotropy in 1D Spin$-1/2$ $XY-\Gamma(\gamma)$ Chain

Asad Ali; Samira Elghaayda; Saif Al-Kuwari; M. I. Hussain; M. T. Rahim; H. Kuniyil; C. Seida; A. El Allati; M. Mansour; Saeed Haddadi

arXiv · 2411.14074

Kitaev Quantum Batteries: Super-Extensive Scaling of Ergotropy in 1D Spin$-1/2$ $XY-\Gamma(\gamma)$ Chain

Asad Ali·Samira Elghaayda·Saif Al-Kuwari·M. I. Hussain·M. T. Rahim·H. Kuniyil·C. Seida·A. El Allati·M. Mansour·Saeed Haddadi

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Abstract

We investigate the performance of a novel model based on a one-dimensional (1D) spin-$1/2$ Heisenberg $XY-\Gamma(\gamma)$ quantum chain, also known as 1D Kitaev chain, as a working medium for a quantum battery (QB) in both closed and open system scenarios. We analyze the closed QB scenario by analytically evaluating ergotropy across different spin-spin couplings, anisotropies in spin interactions, Zeeman field strengths, charging field intensities, $\Gamma$ interactions, and temperature. Our results indicate that the ergotropy is highly dependent on spin-spin coupling and anisotropy. Under variable parameters, an increase in the spin-spin coupling strength displays quenches and exhibits non-equilibrium trends in ergotropy. After a quench, ergotropy may experience a sharp increase or drop, suggesting optimal operational conditions for QB performance. In the open QB scenario, we examine spin chains of sizes $2 \leq N \leq 8$ under the influence of dephasing, focusing on the evolution of ergotropy. We study two charging schemes: parallel charging, where spins are non-interacting, and collective charging, involving spin-spin coupling. In the former, increased Zeeman field strength enhances both the peak ergotropy and charging rate, although without any quantum advantage or super-extensive scaling. In the latter, increasing spin-spin coupling might not achieve super-extensive scaling without introducing anisotropy in the spin-spin interaction. Our results suggest that optimal QB performance and a quantum advantage in scaling can be achieved by leveraging anisotropic spin-spin couplings and non-zero $\Gamma$ interactions, allowing for faster charging and higher ergotropy under super-extensive scaling conditions up to $\alpha=1.24$ for the given size of the spin chain.

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Asad Ali, Samira Elghaayda, Saif Al-Kuwari, M. I. Hussain, M. T. Rahim, H. Kuniyil, C. Seida, A. El Allati, M. Mansour, Saeed Haddadi. 2024-11-21. Kitaev Quantum Batteries: Super-Extensive Scaling of Ergotropy in 1D Spin$-1/2$ $XY-\Gamma(\gamma)$ Chain. https://arxiv.org/abs/2411.14074

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