12 citations · 12 across the 7 of their papers we have counts for
7 papers
A Spatial Localizer for Constituent-Resolved Exciton Wannier Functions
Haylen Gerhard, Wladimir A. Benalcazar
Excitons are composite quasiparticles: beyond a center-of-mass position, each carries an internal electron-hole dipole governing its coupling to electric fields and other excitons.…
Thermalization hierarchy from irreducible degrees of freedom
Pedro Fittipaldi de Castro, Wladimir A. Benalcazar
The decomposition of the Hilbert space of a quantum many-body system into the irreducible representations of its bond and commutant algebras yields a finer structure of dynamically…
Complex Wannier centers and drifting Wannier functions in non-Hermitian Hamiltonians
Pedro Fittipaldi de Castro, Yifan Wang, Wladimir A. Benalcazar
The extension of topological band theory to non-Hermitian Hamiltonians with line energy gaps remains largely unexplored, despite early indications of rich underlying physics. In th…
A Spatial Localizer for Electrons in Insulators
Haylen Gerhard, Yifan Wang, Alexander Cerjan +1
The location of electrons governs phenomena ranging from chemical bonding and electric polarization to the topological classification of band insulators and the emergence of correl…
A dynamical order parameter for the transition to nonergodic dynamics in the discrete nonlinear Schrödinger equation
Andrew Kalish, Pedro Fittipaldi de Castro, Wladimir A. Benalcazar
The discrete nonlinear Schrödinger equation (DNLSE) exhibits a transition from ergodic, delocalized dynamics to a weakly nonergodic regime characterized by breather formation; yet,…
Orbital Frontiers: Harnessing Higher Modes in Photonic Simulators
Jiho Noh, Julian Schulz, Wladimir Benalcazar +1
Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crys…