155 citations · 378 across the 17 of their papers we have counts for
17 papers
Law of large numbers and central limit theorem for ergodic quantum processes
Lubashan Pathirana, Jeffrey Schenker
A discrete quantum process is represented by a sequence of quantum operations, which are completely positive maps that are not necessarily trace preserving. We consider quantum pro…
Fredholm Homotopies for Strongly-Disordered 2D Insulators
Alex Bols, Jeffrey Schenker, Jacob Shapiro
We study topological indices of Fermionic time-reversal invariant topological insulators in two dimensions, in the regime of strong Anderson localization. We devise a method to int…
On the spatial extent of localized eigenfunctions for random Schrödinger operators
Frédéric Klopp, Jeffrey Schenker
The present paper is devoted to new, improved bounds for the eigenfunctions of random operators in the localized regime. We prove that, in the localized regime with good probabilit…
Hamiltonian structure for dispersive and dissipative dynamical systems
Alex Figotin, Jeffrey H. Schenker
We develop a Hamiltonian theory of a time dispersive and dissipative inhomogeneous medium, as described by a linear response equation respecting causality and power dissipation. Th…
Hamiltonian extension and eigenfunctions for a time dispersive dissipative string
Alexander Figotin, Jeffrey Schenker
We carry out a detailed analysis of a time dispersive dissipative (TDD) string, using our recently developed conservative and Hamiltonian extensions of TDD systems. This analysis o…
Hamiltonian treatment of time dispersive and dissipative media within the linear response theory
A. Figotin, J. H. Schenker
We develop a Hamiltonian theory for a time dispersive and dissipative (TDD) inhomogeneous medium, as described by a linear response equation respecting causality and power dissipat…