PIRSA:15120044

Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group

You, Y. (2015). Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group. Perimeter Institute. https://pirsa.org/15120044

You, Yi-Zhuang. Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group. Perimeter Institute, Dec. 14, 2015, https://pirsa.org/15120044 

          @misc{ pirsa_PIRSA:15120044,
            doi = {10.48660/15120044},
            url = {https://pirsa.org/15120044},
            author = {You, Yi-Zhuang},
            keywords = {Condensed Matter},
            language = {en},
            title = {Holographic Mapping of Many-Body Localized System by Spectrum Bifurcation Renormalization Group},
            publisher = {Perimeter Institute},
            year = {2015},
            month = {dec},
            note = {PIRSA:15120044 see, \url{https://pirsa.org}}
          }

Yi-Zhuang You

University of California, San Diego

Talk number
PIRSA:15120044
Collection
Talk Type
Subject
Abstract

We introduce the spectrum bifurcation renormalization group (SBRG) as an improvement of the excited-state real space renormalization group (RSRG-X) for qubit models. Starting from a disordered many-body Hamiltonian in the full many-body localized (MBL) phase, the SBRG flows to the MBL fixed-point Hamiltonian, and generates the local integrals of motion and the matrix product state representations for all eigenstates. The method is applicable to both spin and fermion models with arbitrary interaction strength on any lattice in all dimensions, as long as the models are in the full MBL phase. As a Hilbert-space preserving RG, the SBRG also generates an entanglement holographic mapping, which duals the MBL state to a fragmented holographic space.