4 papers · 1 filter
Multi-State Geometry of Density Matrices and Rectification Sum Rules
Barry Bradlyn
The geometry of quantum states has emerged as a key ingredient in understanding the linear and nonlinear responses of quantum materials. To date, however, the connection between ge…
Leggett-Garg Inequality Violations Bound Quantum Fisher Information
Nick Abboud, Yuntao Guan, Barry Bradlyn +1
We prove that a violation of a Leggett-Garg inequality for bounded observables in stationary pure states and thermal states yields a rigorous lower bound on the quantum Fisher info…
Decomposing momentum scales in the Hubbard Model: From Hatsugai-Kohmoto to Aubry-André
Dmitry Manning-Coe, Barry Bradlyn
The all-to-all momentum coupling of the Hubbard interaction makes interacting lattice models generically unsolvable. In many settings, however, from Peierls instabilities to Moiré…
Fundamental Tests of Quantum Geometric Bounds in Ionic and Covalent Insulators using Inelastic X-Ray Scattering
David Bałut, Barry Bradlyn, Marcus D. Collins +1
Quantum geometry underlies many fundamental properties of materials, but it has remained largely inaccessible to direct experiment. Here we demonstrate that inelastic x-ray scatter…