Zhang, Yong-Liang and Khemani, Vedika (2020) Asymmetric butterfly velocities in 2-local Hamiltonians. SciPost Physics, 9 . Art. No. 24. ISSN 2542-4653. doi:10.21468/SciPostPhys.9.2.024. https://resolver.caltech.edu/CaltechAUTHORS:20191111-085640192
![[img]](https://authors.library.caltech.edu/style/images/fileicons/application_pdf.png) |
PDF
- Published Version
Creative Commons Attribution. 602kB |
|
PDF
- Submitted Version
See Usage Policy. 526kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20191111-085640192
Abstract
The speed of information propagation is finite in quantum systems with local interactions. In many such systems, local operators spread ballistically in time and can be characterized by a butterfly velocity", which can be measured via out-of-time-ordered correlation functions. In general, the butterfly velocity can depend asymmetrically on the direction of information propagation. In this work, we construct a family of simple 2-local Hamiltonians for understanding the asymmetric hydrodynamics of operator spreading. Our models live on a one dimensional lattice and exhibit asymmetric butterfly velocities between the left and right spatial directions. This asymmetry is transparently understood in a free (non-interacting) limit of our model Hamiltonians, where the butterfly speed can be understood in terms of quasiparticle velocities.
| Item Type: | Article | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|
| Related URLs: |
| |||||||||
| Additional Information: | © 2020 Y-L. Zhang and V. Kheman. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 29-12-2019; Accepted 29-07-2020; Published 25-08-2020. We thank Xie Chen, Shenghan Jiang, Kevin Slage, and Cheng-Ju Lin for helpful discussions. VK thanks Charles Stahl and David Huse for collaboration on related work. Y.-L.Z. is supported by the National Science Foundation under Award Number DMR-1654340, and the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NSF Grant PHY-1733907). | |||||||||
| Group: | Institute for Quantum Information and Matter | |||||||||
| Funders: |
| |||||||||
| DOI: | 10.21468/SciPostPhys.9.2.024 | |||||||||
| Record Number: | CaltechAUTHORS:20191111-085640192 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20191111-085640192 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 99771 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 12 Nov 2019 21:33 | |||||||||
| Last Modified: | 16 Nov 2021 17:49 |
Repository Staff Only: item control page
