# Examples

Finite-size exact diagonalization is applied to standard lattice models, with spectra and correlation functions compared to analytic limits or established many-body behavior where available.

::::{grid} 2
:::{grid-item-card} Fermionic systems
:link: fermion/index
:link-type: doc
Hubbard models, exchange, competing correlations, and flux response.
:::
:::{grid-item-card} Bosonic systems
:link: boson/index
:link-type: doc
Bose-Hubbard physics, natural occupations, density correlations, and Schwinger bosons.
:::
::::

```{toctree}
:maxdepth: 2
:hidden:

fermion/index
boson/index
```