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This research presents a novel non-abelian geometric quantum energy pump that utilizes transitionless drives to coherently transport states within degenerate subspaces. By leveraging the non-abelian Berry-curvature tensor and Hamiltonian topology, this mechanism offers precise control over energy transfer for potential applications in quantum transduction, charging protocols, and phase coherence metrology across various hardware platforms like trapped ions and superconducting circuits.
Non-abelian Geometric Quantum Energy Pump
arXiv:2511.09651v3 Announce Type: replace Abstract: We introduce a non-abelian geometric quantum energy pump realized by a transitionless geometric quantum drive--a time-dependent Hamiltonian supplemented by a counterdiabatic term generated by a prescribed trajectory on a smooth control manifold--that coherently transports states within a degenerate subspace. When the coordinates of the trajectory are independently addressable by external drives, the net energy transferred between drives is set by the non-abelian Berry-curvature tensor. The trajectory-averaged pumping power is separately controlled by the initial state and by the Hamiltonian topology through the Euler class. We outline an implementation with artificial atoms, which are realizable on various platforms including trapped atoms/ions, superconducting circuits, and semiconductor quantum dots. The resulting energy pump can serve as a quantum transducer or charger, and as a metrological tool for measuring phase coherences in quantum states.
Abstract:We introduce a non-abelian geometric quantum energy pump realized by a transitionless geometric quantum drive--a time-dependent Hamiltonian supplemented by a counterdiabatic term generated by a prescribed trajectory on a smooth control manifold--that coherently transports states within a degenerate subspace. When the coordinates of the trajectory are independently addressable by external drives, the net energy transferred between drives is set by the non-abelian Berry-curvature tensor. The trajectory-averaged pumping power is separately controlled by the initial state and by the Hamiltonian topology through the Euler class. We outline an implementation with artificial atoms, which are realizable on various platforms including trapped atoms/ions, superconducting circuits, and semiconductor quantum dots. The resulting energy pump can serve as a quantum transducer or charger, and as a metrological tool for measuring phase coherences in quantum states.
Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
arXiv:2511.09651 [quant-ph]
(or arXiv:2511.09651v3 [quant-ph] for this version)
Phys. Rev. B 114, L020304, 2026
https://doi.org/10.1103/1c4s-w8gs DOI(s) linking to related resources
Full text under the publisher's open licence · 158 words
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