Asymmetric butterfly velocities in 2-local Hamiltonians

  title={Asymmetric butterfly velocities in 2-local Hamiltonians},
  author={Yong-Liang Zhang and Vedika Khemani},
  journal={arXiv: Statistical Mechanics},
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… Expand

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