Quantum response theory and momentum-space gravity

Fuente: arXiv
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1. Verfasser: Mehraeen, M.
Format: Preprint
Veröffentlicht: 2025
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author Mehraeen, M.
author_facet Mehraeen, M.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_06160
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum response theory and momentum-space gravity
Mehraeen, M.
Mesoscale and Nanoscale Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
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.
title Quantum response theory and momentum-space gravity
topic Mesoscale and Nanoscale Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Quantum Physics
url https://arxiv.org/abs/2503.06160