A metric-tensor-based covariant formalism uniquely defines the Berry connection in non-Hermitian systems, resolving GL(N,C) gauge ambiguities and enabling consistent geometric phases and topological invariants.
Simon, Holonomy, the quantum adiabatic theorem, and Berry’s phase, Phys
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Extending the wave-packet ansatz for Bloch electrons to include interband contributions and applying the time-dependent variational principle yields leading-order nonadiabatic corrections to the Lagrangian, including an energy-gap-renormalized quantum metric that recasts dynamics as geodesic motion.
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Resolving Gauge Ambiguities of the Berry Connection in Non-Hermitian Systems
A metric-tensor-based covariant formalism uniquely defines the Berry connection in non-Hermitian systems, resolving GL(N,C) gauge ambiguities and enabling consistent geometric phases and topological invariants.
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Nonadiabatic Wave-Packet Dynamics: Nonadiabatic Metric, Quantum Geometry, and Gravitational Analogy
Extending the wave-packet ansatz for Bloch electrons to include interband contributions and applying the time-dependent variational principle yields leading-order nonadiabatic corrections to the Lagrangian, including an energy-gap-renormalized quantum metric that recasts dynamics as geodesic motion.