Collective fluctuations generate dynamical Berry curvature via non-commutative transverse quantum fluctuations and non-local-time interactions, distinguishable from bare band geometry in antisymmetric inelastic scattering channels.
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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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Geometric curvature driven by many-body collective fluctuations
Collective fluctuations generate dynamical Berry curvature via non-commutative transverse quantum fluctuations and non-local-time interactions, distinguishable from bare band geometry in antisymmetric inelastic scattering channels.
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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.