Emergent criticality in non-unitary random dynamics

PIRSA ID: 20060021
Série : Quantum Matter
Event Type: Seminar
Domaine(s) scientifique(s) :
Quantum Matter
Date de fin :
Speaker(s):
  • Xiao Chen, Kavli Institute for Theoretical Physics (KITP)

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".