Density matrix renormalization group(DMRG)and its extensions in the form of matrix product states are arguably the choice for the study of one-dimensional quantum systems in the last three decades.However,due to the limited entanglement encoded in the wave-function ansatz,to maintain the accuracy of DMRG with the increase of the system size in the study of two-dimensional systems,exponentially increased resources are required,which limits the applicability of DMRG to only narrow systems.We introduce a new ansatz in which DMRG is augmented with disentanglers to encode area-law-like entanglement entropy(entanglement entropy supported in the new ansatz scales as l for an l×l system).In the new method,the O(D^(3))low computational cost of DMRG is kept(with an overhead of O(d^(4))and d the dimension of the physical degrees of freedom).We perform benchmark calculations with this approach on the two-dimensional transverse Ising and Heisenberg models.This new ansatz extends the power of DMRG in the study of two-dimensional quantum systems.
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机译：国际研究会"New Development of Numerical Simulation in Low-Dimensional Quantum Systems:From Density Matrix Renormalization Group to Tensor Network Formulation"(研究会报告)
