2025/11/12 by Yang Peng, Peng, Yang · 1 citation
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Degenerate energy levels #Geometric phase #Hamiltonian (control theory) #Mechanical and Optical Resonators #Open quantum system #Quantum #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Quantum computer #Quantum process #Quantum system #Topology (electrical circuits)
paper · pdf · doi:10.1103/1c4s-w8gs
openalex created_date 2025/11/15 · openalex publication_date 2026/06/24 · openalex updated_date 2026/08/05
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.