178 citations · 981 across the 75 of their papers we have counts for
76 papers
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 consider possibly degenerate non-autonomous parabolic equations in spaces for all , and prove Gaussian space-time upper bounds of the Davies-Gaffney, or i…
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…
Approach to equilibrium in Markovian open quantum systems
Donghao Ouyang, Israel Michael Sigal
In this paper, we study the evolution of Markovian open quantum systems, whose dynamics are governed by the von Neumann-Lindblad equations. Our goal is to prove the return-to-equil…
On light cone bounds for Markov quantum open systems
Israel Michael Sigal, Xiaoxu Wu
We study space-time behaviour of solutions of the von Neumann-Lindblad equations underlying the dynamics of Markov quantum open systems. For a large class of these equations, we pr…