3 papers
math.SP2025
Dispersive Decay Estimates for periodic Jacobi operators on the half-line
Amir Sagiv, Remy Kassem, Michael I Weinstein
We establish dispersive time-decay estimates for periodic Jacobi operators on the discrete half-line, . Specifically, we prove decay in the weighted $\ell^\infty_{-1…
math.AP2025
On the Time-decay of solutions arising from periodically forced Dirac Hamiltonians
Joseph Kraisler, Amir Sagiv, Michael I. Weinstein
There is increased interest in time-dependent (non-autonomous) Hamiltonians, stemming in part from the active field of Floquet quantum materials. Despite this, dispersive time-deca…
math-ph2023
Nonlocal PDEs and quantum optics: band structure of periodic atomic sytems
Erik Orvehed Hiltunen, Joseph Kraisler, John C. Schotland +1
We continue our study of the quantum optics of a single photon interacting with a system of two level atoms. In this work we investigate the case of a periodic arrangement of atoms…