Variationally optimizing infinite projected entangled-pair states at large bond dimensions: A split corner transfer matrix renormalization group approach

Abstract

Projected entangled-pair states (PEPS) have become a powerful tool for studying quantum many-body systems in the condensed matter and quantum materials context, particularly with advances in variational energy optimization methods. A key challenge within this framework is the computational cost associated with the contraction of the two-dimensional lattice, crucial for calculating state vector norms and expectation values. The conventional approach, using the corner transfer matrix renormalization group (CTMRG), involves combining two tensor network layers, resulting in significant time and memory demands. In this work, we introduce an alternative "split-CTMRG" algorithm, which maintains separate PEPS layers and leverages new environment tensors, reducing computational complexity while preserving accuracy. Benchmarks on quantum lattice models demonstrate substantial speedups for variational energy optimization, rendering this method valuable for large-scale PEPS simulations.

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Cited by in corpus (6)

• Efficient iPEPS Simulation on the Honeycomb Lattice via QR-based CTMRG
• Single-layer framework of variational tensor network states
• Variational optimization of projected entangled-pair states on the triangular lattice
• Accelerating two-dimensional tensor network contractions using QR decompositions
• Equivalence of residual entropy of hexagonal and cubic ices from tensor network methods
• Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires