Spectral and Impedance Matching for Multi-excitation Charging of an Interacting Quantum Battery via an Anharmonic Mediator
Abstract
We investigate a finite-time quantum-battery charging architecture in which a driven two-level working system transfers nonequilibrium resources to an interacting two-qubit battery through a weakly anharmonic three-level mediator. Finite-time driving generates coherence and ergotropy, while excitation-number conservation organizes the transfer into distinct dynamical sectors. The mediator then provides spectrally selective charging channels: its lower transition enables nearly complete single-excitation transfer with negligible residual mediator energy, whereas initial mediator loading activates a cross-matched resonant two-excitation cascade toward the doubly excited battery state. In the latter sector, the mediator anharmonicity compensates the interaction-induced non-equidistance of the battery spectrum, enabling simultaneous resonance of the two transfer channels. At exact double resonance, unequal collective matrix elements impose the analytical bound Pmax=8/9; unit transfer is recovered under the impedance-matching condition |G1|=|G2|, as confirmed numerically. Detuning scans quantify the spectral tolerance, and the full mixed-state dynamics reveals distinct energy- and ergotropy-transfer profiles. Finite-time compression, thermal reset, and switching work close the cycle-level energy balance to numerical precision. The resulting framework combines nonequilibrium resource generation, spectral matching, impedance matching, and coherent multilevel charging, and provides a basis for extending these principles to collective and many-body quantum batteries.
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BibTeX
@misc{mondal2026spectral,
title = {{Spectral and Impedance Matching for Multi-excitation Charging of an Interacting Quantum Battery via an Anharmonic Mediator}},
author = {Sujay Mondal and Anumita Mukhopadhyay and Siddhartha Dutta and Abhijit Bandyopadhyay},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2609.39393},
eprint = {2609.39393},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.39393},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Spectral and Impedance Matching for Multi-excitation Charging of an Interacting Quantum Battery via an Anharmonic Mediator
AU - Sujay Mondal
AU - Anumita Mukhopadhyay
AU - Siddhartha Dutta
AU - Abhijit Bandyopadhyay
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2609.39393
UR - https://arxiv.org/abs/2609.39393
AB - We investigate a finite-time quantum-battery charging architecture in which a driven two-level working system transfers nonequilibrium resources to an interacting two-qubit battery through a weakly anharmonic three-level mediator. Finite-time driving generates coherence and ergotropy, while excitation-number conservation organizes the transfer into distinct dynamical sectors. The mediator then provides spectrally selective charging channels: its lower transition enables nearly complete single-excitation transfer with negligible residual mediator energy, whereas initial mediator loading activates a cross-matched resonant two-excitation cascade toward the doubly excited battery state. In the latter sector, the mediator anharmonicity compensates the interaction-induced non-equidistance of the battery spectrum, enabling simultaneous resonance of the two transfer channels. At exact double resonance, unequal collective matrix elements impose the analytical bound P_max=8/9; unit transfer is recovered under the impedance-matching condition |G_1|=|G_2|, as confirmed numerically. Detuning scans quantify the spectral tolerance, and the full mixed-state dynamics reveals distinct energy- and ergotropy-transfer profiles. Finite-time compression, thermal reset, and switching work close the cycle-level energy balance to numerical precision. The resulting framework combines nonequilibrium resource generation, spectral matching, impedance matching, and coherent multilevel charging, and provides a basis for extending these principles to collective and many-body quantum batteries.
ER -