@article{214b57176e82461294e3cead35b3cb30,
title = "Operator Scaling Dimensions and Multifractality at Measurement-Induced Transitions",
abstract = "Repeated local measurements of quantum many-body systems can induce a phase transition in their entanglement structure. These measurement-induced phase transitions (MIPTs) have been studied for various types of dynamics, yet most cases yield quantitatively similar critical exponents, making it unclear how many distinct universality classes are present. Here, we probe the properties of the conformal field theories governing these MIPTs using a numerical transfer-matrix method, which allows us to extract the effective central charge, as well as the first few low-lying scaling dimensions of operators at these critical points for (Formula Presented)-dimensional systems. Our results provide convincing evidence that the generic and Clifford MIPTs for qubits lie in different universality classes and that both are distinct from the percolation transition for qudits in the limit of large on-site Hilbert space dimension. For the generic case, we find strong evidence of multifractal scaling of correlation functions at the critical point, reflected in a continuous spectrum of scaling dimensions.",
author = "A. Zabalo and Gullans, {M. J.} and Wilson, {J. H.} and R. Vasseur and Ludwig, {A. W.W.} and S. Gopalakrishnan and Huse, {David A.} and Pixley, {J. H.}",
note = "Funding Information: A. Z. and J. H. P. are partially supported by Grant No. 2018058 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel. J. H. P. acknowledges support from the Alfred P. Sloan Foundation through a Sloan Research Fellowship. A. Z. is partially supported through a Fellowship from the Rutgers Discovery Informatics Institute. J. H. W. acknowledges the Aspen Center for Physics where part of this work was performed, which is supported by National Science Foundation Grant No. PHY-1607611. R. V. acknowledges support from the Air Force Office of Scientific Research under Grant No. FA9550-21-1-0123, and the Alfred P. Sloan Foundation through a Sloan Research Fellowship. S. G. acknowledges support from NSF No. DMR-1653271. The authors acknowledge the Beowulf cluster at the Department of Physics and Astronomy of Rutgers University and the Office of Advanced Research Computing (OARC) at Rutgers, The State University of New Jersey for providing access to the Amarel cluster, and associated research computing resources that have contributed to the results reported here. The Flatiron Institute is a division of the Simons Foundation. D. A. H. is supported in part by the DARPA DRINQS program. Funding Information: A. Z. and J. H. P. are partially supported by Grant No. 2018058 from the United States-Israel Binational Science Foundation (BSF), Jerusalem, Israel. J. H. P. acknowledges support from the Alfred P. Sloan Foundation through a Sloan Research Fellowship. A. Z. is partially supported through a Fellowship from the Rutgers Discovery Informatics Institute. J. H. W. acknowledges the Aspen Center for Physics where part of this work was performed, which is supported by National Science Foundation Grant No. PHY-1607611. R. V. acknowledges support from the Air Force Office of Scientific Research under Grant No. FA9550-21-1-0123, and the Alfred P. Sloan Foundation through a Sloan Research Fellowship. S. G. acknowledges support from NSF No. DMR-1653271. The authors acknowledge the Beowulf cluster at the Department of Physics and Astronomy of Rutgers University and the Office of Advanced Research Computing (OARC) at Rutgers, The State University of New Jersey for providing access to the Amarel cluster, and associated research computing resources that have contributed to the results reported here. The Flatiron Institute is a division of the Simons Foundation. D. A. H. is supported in part by the DARPA DRINQS program. Publisher Copyright: {\textcopyright} 2022 American Physical Society",
year = "2022",
month = feb,
day = "4",
doi = "10.1103/PhysRevLett.128.050602",
language = "English (US)",
volume = "128",
journal = "Physical review letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "5",
}