Local Space

The local space builders construct the physical Hilbert space and a dictionary of MPO operator templates for a single lattice site. They are called internally by the model builders but can also be used directly for custom physics.

Functions

Function	Description
build_bosonic	Spin-s site (bosonic)
build_fermionic	Spinless-fermion site
build_conductor	Spinful-fermion (Band) site

Return Convention

All three functions return (Spc, Op):

• Spc — Nicole Index representing the physical Hilbert space.
• Op — dict of named Nicole Tensor objects, including 4^th-order MPO operator templates.

Operator templates follow the axis convention:

Template suffix	Axes	Role
4	(L_trivial_IN, op_OUT, bra_OUT, ket_IN)	Leading-site template
4dag	(op_IN, R_trivial_OUT, bra_OUT, ket_IN)	Terminal-site template
4 (on-site)	(L_trivial_IN, R_trivial_OUT, bra_OUT, ket_IN)	On-site template (I4, N4, etc.)
4mid	(op_IN, op_OUT, bra_OUT, ket_IN)	Intermediate-site (string) template

See Also

• Custom local space example
• build_heisenberg, build_free_fermion, build_hubbard — model builders that call the space builders.