weyl.m

Weyl boson operators (sparse, see below for normalisation convention) for a bosonic mode with a user-specified population number truncation.

Syntax

                         A=weyl(nlevels)

Parameters

        nlevels - an integer specifying the
                  number of population levels

Outputs

        A.u - unit operator
        A.c - creation operator
        A.a - annihilation operator
        A.n - population number operator
    Note: the matrices are normalised to obey the following
          relations for all energy level counts
                     A.c*A.a=A.n,  [A.n,A.c]=A.c
                   [A.n,A.a]=-A.a,  [A.a,A.c]=A.u
          except for the edge state at which [A.a,A.c] ele-
          ment is (1-nlevels), this is unavoidable.
    Note: arrays are declared complex at build time to avoid
          expensive reallocation operations later on.

Examples

See examples in the Spinach distribution relevant to this function.

Notes

This page was generated from the function header in the Spinach repository.

See also

• boson_mono.m
• boson_ortho.m
• bos_product_table.m
• enlev2bm.m
• oper2bm.m
• kq2lin.m

Version 2.11, authors: Ilya Kuprov