Quantum metric induces O(ħ²) corrections to phase-space density of states, modifying Liouville's theorem and providing a nonlinear chiral kinetic theory consistent with QFT for chiral fermions in inhomogeneous fields.
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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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Quantum Metric Corrections to Liouville's Theorem and Chiral Kinetic Theory
Quantum metric induces O(ħ²) corrections to phase-space density of states, modifying Liouville's theorem and providing a nonlinear chiral kinetic theory consistent with QFT for chiral fermions in inhomogeneous fields.
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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.