PIRSA:14050010

Scattering of emerging excitations in Matrix Product States

Haegeman, J. (2014). Scattering of emerging excitations in Matrix Product States. Perimeter Institute. https://pirsa.org/14050010

Haegeman, Jutho. Scattering of emerging excitations in Matrix Product States. Perimeter Institute, May. 06, 2014, https://pirsa.org/14050010 

          @misc{ pirsa_PIRSA:14050010,
            doi = {10.48660/14050010},
            url = {https://pirsa.org/14050010},
            author = {Haegeman, Jutho},
            keywords = {Condensed Matter},
            language = {en},
            title = {Scattering of emerging excitations in Matrix Product States},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {may},
            note = {PIRSA:14050010 see, \url{https://pirsa.org}}
          }

Jutho Haegeman Ghent University

Talk number PIRSA:14050010
DOI 10.48660/14050010
Collection
Talk Type Scientific Series
Subject

Abstract

We review the formalism of matrix product states and one of its recent generalisations which allows to variationally determine the dispersion relation of elementary excitations in generic one-dimensional quantum spin chains. These elementary excitations dominate the low energy effective behaviour of the system. We discuss recent work where we show how we can also describe the effective interaction between these excitations – as mediated by the strongly correlated ground state – and how we can extract the corresponding S matrix. With these two ingredients, we can already build a highly non-trivial low-energy description of any microscopic Hamiltonian by assuming that higher order scattering processes are negligible. This allows to extract accurate information about the behaviour of the system under perturbations or at finite temperature, as we illustrate using the spin 1 Heisenberg model.