Monitored quantum dynamics and the Kitaev spin liquid

Abstract

The authors study the quantum dynamics of a (2+1)D monitored random circuit involving local projective measurements, inspired by the physics of the Kitaev quantum spin liquid. A Majorana parton description of the dynamics reveals a close connection between the entanglement dynamics of quantum trajectories and the 3D classical fully packed loop model. The authors uncover a critical phase where quantum trajectories exhibit long-range entanglement with a logarithmic ($L$ log $L$) violation of the area law, and a topologically ordered phase reminiscent of the toric code phase.

Topics & Concepts