TEDOPA

This is the documentation for the TEDOPA.jl package.

TEDOPA is a package that implements the Time Evolving Density operator with Orthogonal Polynomials Algorithm (TEDOPA) [1, 2], a transformation that maps a continuous Gaussian environment into a discrete chain of modes. Starting from the spectral density function, the temperature and the chemical potential (if applicable), the package computes the parameters that define the TEDOPA-transformed environment.

Installation

From a registry

This package is registered in the TensorNetworkSimulations registry. If you haven't already done so, add it to your Julia installation by running

using Pkg
pkg"registry add https://github.com/phaerrax/TensorNetworkSimulations.git"

(this must be done just once per Julia installation). The package can then be installed as a normal one:

using Pkg
pkg"add TEDOPA"

From GitHub

Alternatively, straight installation from GitHub is also possible:

using Pkg
pkg"add https://github.com/phaerrax/TEDOPA.jl"

Package features

This package offers several ways of computing the chain mapping, all derived from the original TEDOPA algorithm.

• chainmapping_tedopa: the standard chain mapping [1, 2], for a single environment.
• chainmapping_ttedopa: thermalised chain mapping for a bosonic environment [3].
• chainmapping_tftedopa: single-chain thermalised chain mapping for a fermionic environment [4].
• chainmapping_thermofield: a thermofield transformation [5] followed by a chain mapping of the resulting (fermionic) environments, that can also merge multiple multiple environments together [6].

See Reference for a detailed explanation of the available methods.

Bibliography