PIRSA:14050079

A Rigorous Result on Many-Body Localization

Imbrie, J. (2014). A Rigorous Result on Many-Body Localization. Perimeter Institute. https://pirsa.org/14050079

Imbrie, John. A Rigorous Result on Many-Body Localization. Perimeter Institute, May. 14, 2014, https://pirsa.org/14050079 

          @misc{ pirsa_PIRSA:14050079,
            doi = {10.48660/14050079},
            url = {https://pirsa.org/14050079},
            author = {Imbrie, John},
            keywords = {},
            language = {en},
            title = {A Rigorous Result on Many-Body Localization},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {may},
            note = {PIRSA:14050079 see, \url{https://pirsa.org}}
          }

John Imbrie University of Virginia

DOI 10.48660/14050079
Collection
Talk Type Conference

Abstract

I will discuss a proof of many-body localization for a one-dimensional spin chain with random local interactions. The proof depends on a physically reasonable assumption that limits the amount of level attraction in the system. I construct a sequence of local rotations that completely diagonalizes the Hamiltonian and exhibits the local degrees of freedom.