6 papers
Uniqueness of null-local modular flow
Gautam Satishchandran, Jonathan Sorce
In arXiv:2306.01837, it was conjectured that one can engineer a large class of quantum field theory states for which the modular flow on a spacelike slice is "instantaneously local…
Continuum canonical purifications
Jonathan Sorce
We construct and characterize canonical purifications for general algebraic states, extending prior constructions by Woronowicz and by Dutta/Faulkner to general quantum theories. G…
Notes on the type classification of von Neumann algebras
Jonathan Sorce
These notes provide an explanation of the type classification of von Neumann algebras, which has made many appearances in recent work on entanglement in quantum field theory and qu…
Analyticity and the Unruh effect: a study of local modular flow
Jonathan Sorce
The Unruh effect can be formulated as the statement that the Minkowski vacuum in a Rindler wedge has a boost as its modular flow. In recent years, other examples of states with geo…
A classical model for semiclassical state-counting
Jonathan Sorce
In the type II von Neumann algebras that appear in semiclassical gravity, all states have infinite entropy, but entropy differences are uniquely defined. Akers and I have shown tha…
A short proof of Tomita's theorem
Jonathan Sorce
Tomita-Takesaki theory associates a positive operator called the "modular operator" with a von Neumann algebra and a cyclic-separating vector. Tomita's theorem says that the unitar…