Many-body localization and thermalization in disordered Hubbard chains

          @misc{ pirsa_PIRSA:15100082,
            doi = {10.48660/15100082},
            url = {https://pirsa.org/15100082},
            author = {Mondaini, Rubem},
            keywords = {Condensed Matter},
            language = {en},
            title = {Many-body localization and thermalization in disordered Hubbard chains},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {oct},
            note = {PIRSA:15100082 see, \url{https://pirsa.org}}
          }
          

Abstract

In this talk, I will revise some of the aspects that lead isolated interacting quantum systems to thermalize.

In the presence of disorder, however, the thermalization process fails resulting in a phenomena where 

transport is suppressed known as many-body localization. Unlike the standard Anderson localization for 

non-interacting systems, the delocalized (ergodic) phase is very robust against disorder even for moderate

values of interaction. Another interesting aspect of the many-body localization phase is that under the time

evolution of the quenched disorder, information present in the initial state may survive for arbitrarily long times.

This was recently used as a probe of many-body localization of ultracold fermions in optical lattices

with quasi-periodic disorder [1]. Here, we will stress that this analysis may suffer from substantial finite-size effects 

after comparing with the numerical results in one-dimensional Hubbard chains [2].

 

References:

[1] - M.Schreiber, S. S. Hodgman,. P. Bordia,.H. P. Lüschen, M. H. Fischer, R. Vosk, E. Altman, U. Schneider, I. Bloch, Science 349, 842 (2015)

[2] - Rubem Mondaini and Marcos Rigol, Phys. Rev. A 92, 041601(R) (2015)