Exponential Thermal Tensor Network Approach for Quantum Lattice Models

@article{Chen2018ExponentialTT,
  title={Exponential Thermal Tensor Network Approach for Quantum Lattice Models},
  author={Bin-Bin Chen and Lei Chen and Ziyu Chen and Wei Li and Andreas Weichselbaum},
  journal={Physical Review X},
  year={2018}
}
We speed up thermal simulations of quantum many-body systems in both one- (1D) and two-dimensional (2D) models in an exponential way by iteratively projecting the thermal density matrix $\hat\rho=e^{-\beta \hat{H}}$ onto itself. We refer to this scheme of doubling $\beta$ in each step of the imaginary time evolution as the exponential tensor renormalization group (XTRG). This approach is in stark contrast to conventional Trotter-Suzuki-type methods which evolve $\hat\rho$ on a linear quasi… 
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