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Quantum weight

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arxiv 2401.13847 v1 pith:CUOFJKKY submitted 2024-01-24 cond-mat.str-el cond-mat.mtrl-sci

Yugo Onishi , Liang Fu This is my paper · ORCID
classification cond-mat.str-elcond-mat.mtrl-sci
keywords quantumweightboundopticalpropertyaboveabsorptionbuilding
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We introduce the concept of quantum weight as a fundamental property of insulating states of matter that is encoded in the ground-state static structure and measures quantum fluctuation in electrons' center of mass. We find a sum rule that directly relates quantum weight -- a ground state property -- with the negative-first moment of the optical conductivity above the gap frequency. Building on this connection to optical absorption, we derive both an upper bound and a lower bound on quantum weight in terms of electron density, dielectric constant, and energy gap. Therefore, quantum weight constitutes a key material parameter that can be experimentally determined from X-ray scattering.

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Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum Geometric Injection and Shift Optical Forces Drive Coherent Phonons

    cond-mat.mes-hall 2025-07 conditional novelty 7.0 of 10

    The paper derives quantum-geometric injection and shift Raman forces, shows the shift force emerges impulsively when time-reversal symmetry is broken, and demonstrates strong tunability in the bilayer Haldane model.

  2. Long and short time linear response of metals: a geometric approach

    cond-mat.str-el 2026-08 accept novelty 6.0 of 10

    For metals, the time-dependent quantum geometric tensor decomposes into a Drude-weight linear term and a divergent time-independent Fermi-surface term, and the ratio D/S1 distinguishes itinerant from bound charge at t...

  3. Geometric curvature driven by many-body collective fluctuations

    cond-mat.str-el 2026-05 unverdicted novelty 6.0 of 10

    Many-body collective fluctuations generate a dynamical Berry curvature that is invisible to optics but isolable in antisymmetric RIXS channels of P-T-symmetric systems.

  4. Density Matrix Geometry and Sum Rules

    cond-mat.mes-hall 2025-07 conditional novelty 6.0 of 10

    A time-dependent density-matrix quantum geometric tensor provides a generating function that recovers known finite-temperature sum rules and yields new ones, including a finite-temperature magnetic circular dichroism rule.

  5. Quantum Geometry Phenomena in Condensed Matter Systems

    cond-mat.str-el 2025-08 conditional novelty 2.0 of 10

    Quantum geometry, especially the quantum metric, is surveyed as a unifying framework for a wide range of transport and optical phenomena, with experimental confirmation in several materials.

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