Lattices

Lattices are represented by interleaved Cartesian grids. This is general enough for any integer lattice (and a non-Integer lattice can be handled with a diagonal scale, however this is an abstraction the user must provide). You create a Lattice in a few different ways, for examples, we can make a Quincunx lattice via

Creating Lattice Tensor Factories

from ncdl.lattice import Lattice
qc = Lattice("quincunx")

Typically, it’s easiest to specify it as a shorthand string. You can also explicitly give the coset structure.

from ncdl.lattice import Lattice
import numpy as np
qc = Lattice([
            np.array([0, 0], dtype='int'), # The trivial shift
            np.array([1, 1], dtype='int'), # (1,1) shift
        ], np.array([2, 2], dtype='int')) # Diagonal scale.

Which is, perhaps, a little less elegant. I’d like to make this more user friendly, and registering new lattices is on the roadmap (it’s a very basic feature).

The code above created a factory for quincunx lattice tensor, seen below

Lattice Class

ncdl.Lattice(input_lattice[, scale, ...])

The general "LatticeTensor" factory.

Lattice Methods

Lattice Properties

ncdl.Lattice.dimension

The dimension of the lattice.