Universal short-time quantum critical dynamics in imaginary time

  title={Universal short-time quantum critical dynamics in imaginary time},
  author={Shuai Yin and Peizhi Mai and Fan Zhong},
  journal={Physical Review B},
We propose a scaling theory for the universal imaginary-time quantum critical dynamics for both short times and long times. We discover that there exists a universal critical initial slip related to a small initial order parameter $M_0$. In this stage, the order parameter $M$ increases with the imaginary time $\tau$ as $M\propto M_0\tau^\theta$ with a universal initial slip exponent $\theta$. For the one-dimensional transverse-field Ising model, we estimate $\theta$ to be $0.373$, which is… Expand
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) . 36 G . Vidal
  • Phys . Rev . Lett .
  • 2004