Speaker
Description
Quantum systems with unboundedly many degrees of freedom may exhibit large-scale structures in their entanglement properties. The emergence of these structures is comparable to the emergence of sharp macroscopic properties in the thermodynamic limit. A particular example is the embezzlement of entanglement, first discovered by van Dam and Hayden in an approximate form.
In the first part of this talk, I will discuss the intimate relation of this effect with the classification of von Neumann algebras, specifically, Connes’ classification of type III factors.
In the second part, I will illustrate that this effect is ubiquitous in quantum many-body systems and quantum field theory.
Based on joint work with Lauritz van Luijk, Reinhard F. Werner, and Henrik Wilming.