qml.spin.generate_lattice

generate_lattice(lattice, n_cells, boundary_condition=False, neighbour_order=1)

Generates a Lattice object for a given lattice shape and number of cells.

Parameters

• lattice (str) – Shape of the lattice. Input values can be 'chain', 'square', 'rectangle', 'triangle', 'honeycomb', 'kagome', 'lieb', 'cubic', 'bcc', 'fcc' or 'diamond'.

• n_cells (list[int]) – Number of cells in each direction of the grid.

• boundary_condition (bool or list[bool]) – Defines boundary conditions in different lattice axes. Default is False indicating open boundary condition.

• neighbour_order (int) – Specifies the interaction level for neighbors within the lattice. Default is 1, indicating nearest neighbour.

Returns

lattice object.

Return type

Lattice

Example

>>> shape = 'square'
>>> n_cells = [2, 2]
>>> boundary_condition = [True, False]
>>> lattice = qml.spin.generate_lattice(shape, n_cells, boundary_condition)
>>> lattice.edges
[(2, 3, 0), (0, 2, 0), (1, 3, 0), (0, 1, 0)]

Lattice details

The following lattice shapes are currently supported.

• 'chain': linear arrangement of sites in one dimension

• 'square': square arrangement of sites in two dimensions

• 'rectangle': rectangular arrangement of sites in two dimensions

• 'triangle': triangular arrangement of sites in two dimensions [Phys. Rev. B 7, 5017 (1973)]

• 'honeycomb': honeycomb arrangement of sites in two dimensions

• 'kagome': kagome arrangement of sites in two dimensions [Prog. Theor. Phys. 6, 306 (1951)]

• 'lieb': Lieb arrangement of sites in two dimensions [arXiv:1004.5172]

• 'cubic': cubic arrangement of sites in three dimensions

• 'bcc': body-centered cubic arrangement of sites in three dimensions

• 'fcc': face-centered cubic arrangement of sites in three dimensions

• 'diamond': diamond arrangement of sites in three dimensions

code/api/pennylane.spin.generate_lattice

 

Download Python script

 

Download Notebook

 

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