3 papers
quant-ph2026
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…
cond-mat.mes-hall2026
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…
cond-mat.stat-mech2025
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…