Information scrambling of one dimensional symmetry protected topological phases from thermalized boundaries via tensor networks

Presenting Author: Sayonee Ray, University of New Mexico CQuIC
Contributing Author(s): Arpan Bhattacharyya

An emerging area of study is a 1D MBL-SPT (many body localized-symmetry protected topological) bulk with a thermalized boundary which possesses a corresponding quantum anomaly characterizing the SPT bulk. The SYK model is one of them. The thermalizing and information scrambling nature of SYK has been studied from the point of view of level statistics, tripartite mutual information, out-of-time-order correlator (OTOC) etc. We aim at addressing the questions related to information scrambling of a thermalized boundary into a fermionic MBL-SPT bulk and their bulk-boundary correspondence. We consider the Kitaev Majorana wire with a SYK-like model at the boundary, with a constant strength of interaction between four Majoranas, and study the dynamics of thermalization. We aim at studying the time evolution of the GS of the boundary Hamiltonian using tensor network methods, to arrive at a bulk description consistent with the boundary. This can be generalized to SYK boundaries with random fourfermion interactions. Other possible directions of work are using a BDI-SPT bulk with thermalized boundaries like the Sherrington-Kirkpatrick model. Similar calculations for a different SPT bulk (like the AIII and CII classes) with a SYK boundary might also reveal interesting aspects.

(Session 5 : Thursday from 5:00pm - 7:00 pm)


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