207 citations · 2.4k across the 59 of their papers we have counts for
59 papers
Entanglement entropy bounds for pure states of rapid decorrelation
Michael Aizenman, Simone Warzel
For pure states of multi-dimensional quantum lattice systems, which in a convenient computational basis have amplitude and phase structure of sufficiently rapid decorrelation, we c…
Ruminations on Matrix Convexity and the Strong Subadditivity of Quantum Entropy
Michael Aizenman, Giorgio Cipolloni
The familiar second derivative test for convexity, combined with resolvent calculus, is shown to yield a useful tool for the study of convex matrix-valued functions. We demonstrate…
A geometric perspective on the scaling limits of critical Ising and models
Michael Aizenman
The lecture delivered at the \emph{Current Developments in Mathematics} conference (Harvard-MIT, 2021) focused on the recent proof of the Gaussian structure of the scaling limits o…
Depinning in integer-restricted Gaussian Fields and BKT phases of two-component spin models
Michael Aizenman, Matan Harel, Ron Peled +1
For a family of integer-valued height functions defined over the faces of planar graphs, we establish a relation between the probability of connection by level sets and the spin-sp…
Dimerization and Néel order in different quantum spin chains through a shared loop representation
Michael Aizenman, Hugo Duminil-Copin, Simone Warzel
The ground states of the spin- antiferromagnetic chain with a projection-based interaction and the spin- XXZ-chain at anisotropy param…
Marginal triviality of the scaling limits of critical 4D Ising and models
Michael Aizenman, Hugo Duminil-Copin
We prove that the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussi…