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arXiv · 2503.06160

Quantum response theory and momentum-space gravity

M. Mehraeen
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Abstract

We present a quantum response approach to momentum-space gravity in dissipative multiband systems, which dresses both the quantum geometry--through an interband Weyl transformation--and the equations of motion. In addition to clarifying the roles of the contorsion and symplectic terms, we introduce the three-state quantum geometric tensor as a necessary element in the geometric classification of nonlinear responses and discuss the significance of the emergent terms from a gravitational point of view. We also identify a dual quantum geometric drag force in momentum space that provides an entropic source term for the multiband matrix of Einstein field equations.

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M. Mehraeen. 2025-03-08. Quantum response theory and momentum-space gravity. https://doi.org/10.1103/t6nt-qzws

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