Dynamical scaling laws of out-of-time-ordered correlators
Journal Article (Journal Article)
The out-of-time-ordered correlator (OTOC) is central to the understanding of information scrambling in quantum many-body systems. In this work, we show that the OTOC in a quantum many-body system close to its critical point obeys dynamical scaling laws which are specified by a few universal critical exponents of the quantum critical point. Such scaling laws of the OTOC imply a universal form for the butterfly velocity of a chaotic system in the quantum critical region and allow one to locate the quantum critical point and extract all universal critical exponents of the quantum phase transitions. We numerically confirm the universality of the butterfly velocity in a chaotic model, namely, the transverse axial next-nearest-neighbor Ising model, and show the feasibility of extracting the critical properties of quantum phase transitions from OTOC using the Lipkin-Meshkov-Glick model.
Full Text
Duke Authors
Cited Authors
- Wei, BB; Sun, G; Hwang, MJ
Published Date
- November 6, 2019
Published In
Volume / Issue
- 100 / 19
Electronic International Standard Serial Number (EISSN)
- 2469-9969
International Standard Serial Number (ISSN)
- 2469-9950
Digital Object Identifier (DOI)
- 10.1103/PhysRevB.100.195107
Citation Source
- Scopus