Projected Entangled Pair States at Finite Temperature: Imaginary Time Evolution with Ancillas

Abstract

A projected entangled pair state (PEPS) with ancillas is evolved in imaginary time. This tensor network represents a thermal state of a 2D lattice quantum system. A finite temperature phase diagram of the 2D quantum Ising model in a transverse field is obtained as a benchmark application.

7 pages, 9 figures; version accepted to publication in Phys. Rev. B; added new numerical results and references

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Cited by in corpus (12)

• Real-Space Parallel Density Matrix Renormalization Group
• Variational tensor network renormalization in imaginary time: benchmark results in the Hubbard model at finite temperature
• Finite correlation length scaling with infinite projected entangled pair states at finite temperature
• Tensor network study of the $m=1/2$ magnetization plateau in the Shastry-Sutherland model at finite temperature
• Time evolution of an infinite projected entangled pair state: a neighborhood tensor update
• Thermal Tensor Renormalization Group Simulations of Square-Lattice Quantum Spin Models
• Projected Entangled Pair States at Finite Temperature: Iterative Self-Consistent Bond Renormalization for Exact Imaginary Time Evolution
• Finite temperature tensor network study of the Hubbard model on an infinite square lattice
• Tensor networks for interpretable and efficient quantum-inspired machine learning
• Simulation of many body localization and time crystals in two dimensions with the neighborhood tensor update
• On Stability of Tensor Networks and Canonical Forms
• Efficient Simulation of Quantum Many-body Thermodynamics by Tailoring Zero-temperature Tensor Network