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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The Bott metric, derived from the plaquette operator, unifies topology and quantum geometry by converging to the trace of the integrated quantum metric in the thermodynamic limit for disordered and amorphous systems.
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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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The Bott Metric: A Real-Space Bridge Between Topology and Quantum Metric
The Bott metric, derived from the plaquette operator, unifies topology and quantum geometry by converging to the trace of the integrated quantum metric in the thermodynamic limit for disordered and amorphous systems.