PEPSKit.jl: A Julia package for projected entangled-pair state simulations

TL;DR

PEPSKit.jl is a Julia package enabling efficient simulation of 2D quantum many-body systems using iPEPS, supporting symmetries, fermions, and various physical scenarios.

Contribution

It introduces a high-level Julia package for iPEPS simulations with broad symmetry and system support, building on TensorKit.jl.

Findings

Supports ground-state, time-evolution, and finite-temperature simulations.

Handles Abelian and non-Abelian symmetries, as well as fermionic systems.

Demonstrated through examples and benchmarks.

Abstract

We present PEPSKit.jl, a Julia package for simulating two-dimensional quantum many-body systems with infinite projected entangled-pair states (iPEPS). PEPSKit.jl builds on the TensorKit.jl package for tensor computations and provides high-level algorithms for iPEPS simulations that support both Abelian and non-Abelian symmetries, as well as fermionic systems. This work gives an overview of the main package features, which include support for ground-state, time-evolution, and finite-temperature simulations in systems with different physical symmetries and lattice geometries. These capabilities are illustrated through various examples and technical benchmarks.