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