Rigidity from Bootstrap axioms applied to Poisson weight states

Speaker: Marius Junge (University of Illinois)
Series: Isaac Newton Institute Seminar Series
Note: MMBW03 - Structure of entanglement

The entropic Bootstrap axioms of Bowen and Kim are designed to capture a Hamiltonian free description of many body entanglement. We analyze these axioms for a special class of states, Poisson weight states. These noncommutative generalization of classical Poisson distribution appear to be useful for third quantization and other exotic physical constructions. We briefly discuss the new Poisson functor which preserves relative entropy and transforms quantum mechanical data into quantum field theory. Since this functor preserves relative entropy the bootstrap axiom for this special class of states can be calculated from matrix manipulation. The rigidity found in 1D and 2D lead to applications towards (spreaded) Haag duality.

This is based on joint work with Y. Chen, Advith Govindarajan, N. Lashkari, Bowen Shi, and Jia Wang