Out-of-time-order correlation at a quantum phase transition
Name
PhysRevB.96.054503.pdf
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378.2 KB
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Adobe PDF
Checksum (MD5)
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Author(s)
Zhang, Pengfei
Fan, Ruihua
Zhai, Hui
Shen, Huitao
Date Issued
August 2017
Journal
Physical Review B
Publisher
American Physical Society
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
Version
Final published version
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.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevB.96.054503
