gharib85/collectivespins.jl

Simulate quantum systems consisting of many spins interacting via dipole-dipole interaction

CollectiveSpins.jl

CollectiveSpins.jl is a numerical framework written in Julia used to simulate quantum systems consisting of spatially distributed spins coupled via dipole-dipole interaction.

Development status

• Linux/Mac build:
• Windows build:
• Test coverage:

Installation

CollectiveSpins.jl is not an officially registered package but it nevertheless can be installed using julia's package manager:

julia> Pkg.clone("https://github.com/qojulia/CollectiveSpins.jl.git")

Example

using CollectiveSpins

# Define geometry of system
N = 5     # Number of spins
a = 0.3   # spin-spin distance
geometry = CollectiveSpins.geometry.chain(a, N)

# Create system consisting of N spins in the defined geometry
e = [0,0,1]   # Quantization axis
system = CollectiveSpins.SpinCollection(geometry, e)

# Initial quantum state
phi = 0.
theta = pi/2
Ψ0 = CollectiveSpins.quantum.blochstate(phi, theta, N)

# Perform time evolution according to master equation
T = [0:0.05:5.;]
tout, ρt = CollectiveSpins.quantum.timeevolution(T, system, Ψ0)

Documentation

The documentation is generated with Documenter.jl and can be found at

https://qojulia.github.io/CollectiveSpins.jl/latest