BoseHubbardDiagonalize

A Julia exact diagonalization code for the Bose-Hubbard model with a focus on entanglement entropy.

The basis is enumerated using the method of Szabados et al., 2011. See also Zhang et al., 2011.

Tested with Julia 1.3.

Installation

pkg> add https://github.com/MelkoCollective/BH_diagonalize.git

In order to run the driver scripts in bin/, you will also need to

pkg> add ArgParse
pkg> add Arpack
pkg> add JeszenszkiBasis
pkg> add LsqFit
pkg> add ProgressMeter
pkg> add Qutilities

Application project

If you're working with a clone of this repository, you can use the basic application project in bin/, which already has the necessary dependencies. From the repository root, run

julia --project=bin

and then

pkg> dev .

to create bin/Manifest.toml with a development version of BoseHubbardDiagonalize.

Examples

To run the following examples, you should set the project (e.g. using --project or JULIA_PROJECT) to a Julia project that has the prerequisites installed.

• julia bin/diagonalize.jl --help
• julia bin/diagonalize.jl --out output.dat --ee 2 4 4
• julia bin/diagonalize.jl --out output.dat --site-max 4 --ee 3 6 6

---

• julia bin/eop_peak_finder.jl --help
• julia bin/eop_peak_finder.jl --out output.dat --u-min 6 --u-max 10 4 4 2

---

• julia bin/qubit_entanglement.jl --help
• julia bin/qubit_entanglement.jl --out output.dat 6 6 1 2 5 6