Regularized scheme of time evolution tensor network algorithms

Abstract: Regularized factorization is proposed to simulate time evolution for quantum lattice systems. Transcending the Trotter decomposition, the resulting compact structure of the propagator indicates a high-order Baker-Campbell-Hausdorff series. Regularized scheme of tensor network algorithms is then developed to determine the ground state energy for spin lattice systems with Heisenberg or Kitaev-type interactions. Benchmark calculations reveal two distinct merits of the regularized algorithm: it has stable convergence, immune to the bias even in applying the simple update method to the Kitaev spin liquid; contraction of the produced tensor network can converge rapidly with much lower computing cost, relaxing the bottleneck to calculate the physical expectation value.