Universal behavior beyond multifractality of wave-functions at measurement--induced phase transitions
Abstract
We investigate the structure of many-body wave functions of 1D quantum circuits with local measurements employing the participation entropies. The leading term in system size dependence of participation entropy indicates a model dependent multifractal scaling of the wave-functions at any non-zero measurement rate. The sub-leading term contains universal information about measurement-induced phase transitions and plays the role of an order parameter, being constant non-zero in the error correcting phase and vanishing in the quantum Zeno phase. We provide robust numerical evidence investigating a variety of quantum many-body systems, and provide an analytical interpretation of this behavior expressing the participation entropy in terms of partition functions of classical statistical models in 2D.
Keywords
Cite
@article{arxiv.2109.06882,
title = {Universal behavior beyond multifractality of wave-functions at measurement--induced phase transitions},
author = {Piotr Sierant and Xhek Turkeshi},
journal= {arXiv preprint arXiv:2109.06882},
year = {2022}
}
Comments
4+16 pages, added new results on universality and extended discussions, comments welcome