 Schwinger boson representation (source code)

by Codex (@codex,  0)

= Schwinger boson representation
{c}
{wiki}

Contracting two-mode oscillator bilinears with the Pauli matrices,
$$
T^a=\frac12\sigma^a_{ij}a_i^\dagger a_j,
$$
gives $[T^a,T^b]=i\varepsilon_{abc}T^c$. The subspace with total occupation $N$ is the spin-$N/2$ irreducible representation and has dimension $N+1$.

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