From the 1 of 9 linked papers with an AI index.
1 citations · 1 across the 3 of their papers we have counts for
9 papers
On light cone bounds for Markov quantum open systems
Israel Michael Sigal, Xiaoxu Wu
The paper investigates the space‑time propagation of solutions to von Neumann‑Lindblad equations for Markov quantum open systems and proves that their influence is confined within…
Light-Cone Structure of Propagation of Entanglement
Israel Michael Sigal
For a wide class of bipartite systems with localized couplings, we establish existence of an effective light-cone for propagation of entanglement. This result yields a hard lower b…
Diffusion bounds for non-autonomous degenerate parabolic equations
Marius Lemm, Israel Michael Sigal, Jingxuan Zhang
We prove the Davies-Gaffney (i.e., integrated Nash-Aronson) type diffusive upper bounds on the propagators of parabolic equations in -sense for all . Our appr…
Macroscopic suppression of supersonic quantum transport
Jérémy Faupin, Marius Lemm, Israel Michael Sigal +1
We consider a broad class of strongly interacting quantum lattice gases, including the Fermi-Hubbard and Bose-Hubbard models. We focus on macroscopic particle clusters of size $θN…
On the time-dependent Born-Oppenheimer Approximation
Sebastian Gherghe, Iván Moyano, Israel Michael Sigal
In this paper, we consider the time-dependent Born-Oppenheimer approximation (BOA) of a classical quantum molecule involving a possibly large number of nuclei and electrons, descri…
The FitzHugh-Nagumo system on undulated cylinders: spontaneous symmetrization and effective system
Georgia Karali, Konstantinos Tzirakis, Israel Michael Sigal
We consider the FitzHugh-Nagumo system on undulated cylindrical surfaces modeling nerve axons. We show that for sufficiently small radii and for initial conditions close to radiall…