dc.contributor.author | Zhang, Pengfei | |
dc.contributor.author | Fan, Ruihua | |
dc.contributor.author | Zhai, Hui | |
dc.contributor.author | Shen, Huitao | |
dc.date.accessioned | 2018-02-12T18:48:12Z | |
dc.date.available | 2018-02-12T18:48:12Z | |
dc.date.issued | 2017-08 | |
dc.identifier.issn | 2469-9950 | |
dc.identifier.issn | 2469-9969 | |
dc.identifier.uri | http://hdl.handle.net/1721.1/113591 | |
dc.description.abstract | Motivated by the recent studies of out-of-time-order correlation functions and the holographic duality, we propose the quantum critical point conjecture, which is stated as: For a many-body quantum system with a quantum phase transition, the Lyapunov exponent extracted from the out-of-time-order correlators will exhibit a maximum around the quantum critical region. We first demonstrate that the Lyapunov exponent is well defined in the one-dimensional Bose-Hubbard model with the help of the out-of-time-order correlation–Rényi-entropy theorem. We then support the conjecture by numerically computing the out-of-time-order correlators. We also compute the butterfly velocity, and propose an experiment protocol of measuring this correlator without inverting the Hamiltonian. | en_US |
dc.description.sponsorship | National Natural Science Foundation (China) (Grant 11325418) | en_US |
dc.description.sponsorship | Tsinghua University (Beijing, China). Initiative Scientific Research Program | en_US |
dc.description.sponsorship | China. Ministry of Science and Technology (Grant 2016YFA0301600) | en_US |
dc.publisher | American Physical Society | en_US |
dc.relation.isversionof | http://dx.doi.org/10.1103/PhysRevB.96.054503 | en_US |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | en_US |
dc.source | American Physical Society | en_US |
dc.title | Out-of-time-order correlation at a quantum phase transition | en_US |
dc.type | Article | en_US |
dc.identifier.citation | Shen, Huitao, et al. “Out-of-Time-Order Correlation at a Quantum Phase Transition.” Physical Review B, vol. 96, no. 5, Aug. 2017. © 2017 American Physical Society | en_US |
dc.contributor.department | Massachusetts Institute of Technology. Department of Physics | en_US |
dc.contributor.mitauthor | Shen, Huitao | |
dc.relation.journal | Physical Review B | en_US |
dc.eprint.version | Final published version | en_US |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
dc.date.updated | 2017-08-03T22:00:03Z | |
dc.language.rfc3066 | en | |
dc.rights.holder | American Physical Society | |
dspace.orderedauthors | Shen, Huitao; Zhang, Pengfei; Fan, Ruihua; Zhai, Hui | en_US |
dspace.embargo.terms | N | en_US |
mit.license | PUBLISHER_POLICY | en_US |