A Rigorous Result on Many-Body Localization
APA
Imbrie, J. (2014). A Rigorous Result on Many-Body Localization. Perimeter Institute. https://pirsa.org/14050079
MLA
Imbrie, John. A Rigorous Result on Many-Body Localization. Perimeter Institute, May. 14, 2014, https://pirsa.org/14050079
BibTex
@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}} }
University of Virginia
Collection
Talk Type
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.