PIRSA:20060021

Emergent criticality in non-unitary random dynamics

Chen, X. (2020). Emergent criticality in non-unitary random dynamics. Perimeter Institute. https://pirsa.org/20060021

Chen, Xiao. Emergent criticality in non-unitary random dynamics. Perimeter Institute, Jun. 16, 2020, https://pirsa.org/20060021 

          @misc{ pirsa_PIRSA:20060021,
            doi = {10.48660/20060021},
            url = {https://pirsa.org/20060021},
            author = {Chen, Xiao},
            keywords = {Condensed Matter},
            language = {en},
            title = {Emergent criticality in non-unitary random dynamics},
            publisher = {Perimeter Institute},
            year = {2020},
            month = {jun},
            note = {PIRSA:20060021 see, \url{https://pirsa.org}}
          }

Xiao Chen Boston College

DOI 10.48660/20060021
Collection
Talk Type Scientific Series
Subject

Abstract

In this talk, I will discuss emergent criticality in non-unitary random quantum dynamics. More specifically, I will focus on a class of free fermion random circuit models in one spatial dimension. I will show that after sufficient time evolution, the steady states have logarithmic violations of the entanglement area law and power law

correlation functions. Moreover, starting with a short-range entangled many-body state, the dynamical evolution of entanglement and correlations quantitatively agrees with the predictions of two-dimensional conformal field theory with a space-like time direction. I will argue that this behavior is generic in non-unitary free quantum dynamics with time-dependent randomness, and show that the emergent conformal dynamics of two-point functions arises out of a simple" nonlinear master equation".