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

• URL: http://arxiv.org/abs/2411.14074v2
• Date: Sat, 30 Nov 2024 09:09:37 GMT
• Title: Kitaev Quantum Batteries: Super-Extensive Scaling of Ergotropy in 1D Spin$-1/2$ $XY-Γ(γ)$ Chain
• Authors: Asad Ali, Samira Elghaayda, Saif Al-Kuwari, M. I. Hussain, M. T. Rahim, H. Kuniyil, C. Seida, A. El Allati, M. Mansour, Saeed Haddadi,
• Abstract summary: We investigate the performance of a novel model based on a one-dimensional (1D) spin-$1/2$ Heisenberg $XY-Gamma(gamma)$ quantum chain. We analyze ergotropy across different spin-spin couplings, anisotropies in spin interactions, Zeeman field strengths, charging field intensities, $Gamma$ interactions, and temperature. 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.
• Score: 0.5055815271772576
• License:
• 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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