Spin Operators

Single-site spin matrices and SU(2) generator block constructions used across the operator factories.

Spin and SU(2)-generator matrix constructors.

edlgt.operators.spin_operators.spin_space(spin)[source]

Return the Hilbert-space dimension of a spin irrep.

edlgt.operators.spin_operators.m_values(spin)[source]

Return the allowed m quantum numbers for a spin irrep (descending).

edlgt.operators.spin_operators.get_spin_operators(spin)[source]

Construct sparse spin matrices for an arbitrary spin representation.

Parameters:

spin (scalar) – Spin value (integer or half-integer).

Returns:

Sparse matrices Sz, Sp, Sm, Sx, Sy, and S2.

Return type:

dict

edlgt.operators.spin_operators.get_pauli_operators()[source]

Return Pauli-operator matrices in the package normalization.

edlgt.operators.spin_operators.su2_generators(spin, matter=False)[source]

Construct SU(2) generators for rishon or matter sectors.

Parameters:

  • spin (scalar) – Maximum spin irrep used in the block-diagonal construction.

  • matter (bool, optional) – If True, build the generators acting on the matter sector; otherwise build the rishon-sector generators.

Returns:

Dictionary of sparse SU(2) generators and related composites.

Return type:

dict

edlgt.operators.spin_operators.get_Pauli_operators()

Return Pauli-operator matrices in the package normalization.

edlgt.operators.spin_operators.SU2_generators(spin, matter=False)

Construct SU(2) generators for rishon or matter sectors.

Parameters:

  • spin (scalar) – Maximum spin irrep used in the block-diagonal construction.

  • matter (bool, optional) – If True, build the generators acting on the matter sector; otherwise build the rishon-sector generators.

Returns:

Dictionary of sparse SU(2) generators and related composites.

Return type:

dict