UC Davis Mathematics

Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

Lieb-Robinson bounds and Haag-Ruelle scattering theory for gapped quantum spin systems

Mathematical Physics & Probability

Speaker: Pieter Naaijkens, Leibniz U Hannover
Location: 1147 MSB
Start time: Wed, Jan 14 2015, 4:10PM

We consider translation invariant gapped quantum spin systems satisfying the Lieb-Robinson bound and containing single particle states in a ground state representation. Following the Haag-Ruelle approach from relativistic quantum field theory, we construct states describing collisions of several particles and define the corresponding scattering matrix S. In this talk I will discuss the main technical difficulties in translating results from relativistic QFT to lattice systems, and dicusss how Lieb-Robinson bounds and the Arveson spectrum can be used to solve these problems. This is joint work with Sven Bachmann and Wojciech Dybalski.