XDiag.jl

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Julia library for Exact Diagonalization of quantum many-body systems

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# XDiag

A Julia library to perform efficient Exact Diagonalizations of quantum many body systems.

| **Documentation**                                                                             | **Publication**                                                                                                                     | **License**                                                        | **Version** |
|:---------------------------------------------------------------------------------------------:|:-----------------------------------------------------------------------------------------------------------------------------------:|--------------------------------------------------------------------|-------------|
| [![docs](https://img.shields.io/badge/docs-stable-blue.svg)](https://awietek.github.io/xdiag) | [![SciPost](https://img.shields.io/badge/Publication-SciPostPhysCodeb.70-yellow)](https://scipost.org/10.21468/SciPostPhysCodeb.70) | ![license](https://img.shields.io/badge/license-Apache%202.0-blue) | 0.5.0       |

### Features:
- Basic algebra of operators in quantum many-body systems
- Iterative linear algebra for computing eigendecompositions and time-evolutions (e.g. Lanczos algorithm)
- Local spin, t-J, or fermionic models
- Full support of generic space group symmetries
- parallelization using OpenMP
- based on C++ library [xdiag](https://github.com/awietek/xdiag)

### Installation:
Enter the package mode using `]` in the Julia REPL and add type
```bash
add XDiag
```
That's it!

### Example Code:

```julia
using XDiag

let
    say_hello()
    N = 16
    nup = N ÷ 2
    block = Spinhalf(N, nup)
    
    # Define the nearest-neighbor Heisenberg model
    ops = OpSum()
    for i in 1:N
        ops += "J" * Op("SdotS", [i, mod1(i+1, N)])
    end
    ops["J"] = 1.0

set_verbosity(2)            # set verbosity for monitoring progress
    e0 = eigval0(ops, block)    # compute ground state energy

println("Ground state energy: $e0")
end

```

### Documentation
The full documentation is available at [awietek.github.io/xdiag](https://awietek.github.io/xdiag).

### About
author:   Alexander Wietek
license:  Apache License 2.0

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