Communications in Theoretical Physics, Volume. 72, Issue 8, (2020)

Out-of-time-order correlators in the one-dimensional XY model

Jia-Hui Bao1、† and Cheng-Yong Zhang2、†
Author Affiliations
  • 1Department of Physics and Siyuan Laboratory, Jinan University, Guangzhou 50632, China
  • 2School of Physics and Astronomy, Sun Yat-sen University, Daxue Rd., Zhuhai 51908, China
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    AbstractWe study the behavior of information spreading in the XY model, using out-of-time-order correlators (OTOCs). The effects of anisotropic parameter γ and external magnetic field λ on OTOCs are studied in detail within thermodynamical limits. The universal form which characterizes the wavefront of information spreading still holds in the XY model. The butterfly speed vB depends on (γ, λ). At a fixed location, the early-time evolution behavior of OTOCs agrees with the results of the Hausdorff–Baker–Campbell expansion. For long-time evolution, OTOCs with local operators decay as for power law t−1, but those with nonlocal operators show different and nontrivial power law behaviors. We also observe temperature dependence for OTOCs when (γ = 0, λ = 1). At low temperature, the OTOCs with nonlocal operators show divergence over time.


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    Jia-Hui Bao, Cheng-Yong Zhang. Out-of-time-order correlators in the one-dimensional XY model[J]. Communications in Theoretical Physics, 2020, 72(8):

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    Paper Information

    Received: Jan. 15, 2020

    Accepted: Apr. 3, 2020

    Published Online: Apr. 22, 2021

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