TimeEvolutionPEPO.jl

TimeEvolutionPEPO.jl is a high-level and domain-specific package for simulating the time-evolution of an open-quantum system represented by the iPEPO ansatz. A variety of options are implemented under one common interface for both Lindblad real-time evolution and thermal state annealing.

Package Features

This package may be of use if you wish to study quantum many-body systems that are

1. defined on a translational- or shift-invariant two-dimensional lattice.
2. evolving according to the Lindblad equation or described by a thermal density matrix at finite temperature.

The types of interactions that can be simulated are fairly broad including:

• nearest neighbour interactions,
• two-body interactions at an arbitrary distance on an axis,
• next-nearest neighbour interactions along the diagonal,
• non-local interactions decaying exponentially,
• approximate forms of power-law decaying interactions.

In the case of Lindblad time evolution, currently only on-site local dissipation is supported.

Multiple methods are included. For example:

• the simple update (and related) method,
• full environment truncation
• neighbourhood tensor update (with respect to nearest neighbours only).