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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• Projected Entangled Pair States at Finite Temperature: Iterative Self-Consistent Bond Renormalization for Exact Imaginary Time Evolution
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• Thermodynamics of 3D Kitaev quantum spin liquids via tensor networks
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• Thermal bosons in 3d optical lattices via tensor networks
• Rényi free energy and variational approximations to thermal states
• Self-supervised graph neural networks for accurate prediction of Néel temperature
• Thermal Tensor Network Simulations of the Heisenberg Model on the Bethe Lattice
• Frustration-Induced Superconductivity in the $t$-$t^{\prime }$ Hubbard Model
• Spin Seebeck Effect of Triangular-lattice Spin Supersolid
• Forestalled Phase Separation as the Precursor to Stripe Order
• On Stability of Tensor Networks and Canonical Forms
• Low-temperature Gibbs states with tensor networks
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• Numerical continuum tensor networks in two dimensions
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• Noise-tolerant Detection of $Z_N$ Topological Orders in Quantum Many-body States