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We provide a Mathematica code for decomposing strongly correlated quantumstates described by a first-quantized, analytical wave function into many-bodyFock states. Within them, the single-particle occupations refer to the subsetof Fock-Darwin functions with no nodes. Such states, commonly appearing intwo-dimensional systems subjected to gauge fields, were first discussed in thecontext of quantum Hall physics and are nowadays very relevant in the field ofultracold quantum gases. As important examples, we explicitly apply ourdecomposition scheme to the prominent Laughlin and Pfaffian states. This allowsfor easily calculating the overlap between arbitrary states with these highlycorrelated test states, and thus provides a useful tool to classify correlatedquantum systems. Furthermore, we can directly read off the angular momentumdistribution of a state from its decomposition. Finally we make use of our codeto calculate the normalization factors for Laughlin's famousquasi-particle/quasi-hole excitations, from which we gain insight into theintriguing fractional behavior of these excitations.

Strongdeco: Expansion of analytical, strongly correlated quantum states into a many-body basis