Abstract The large practical potential of exotic quantum states is often precluded by their notorious fragility against external rawlings fungo perturbations or temperature.Here, we introduce a mechanism stabilizing a one-dimensional quantum many-body phase exploiting an emergent $${{mathbb{Z}}}_{2}$$ Z 2 -symmetry based on a simple geometrical modification, i.e.a site that couples to all lattice sites.
We illustrate this mechanism by constructing the solution of the full quantum many-body problem of hardcore bosons on a wheel geometry, which are known to form Bose-Einstein condensates.The robustness of secchia stadium photos the condensate against interactions is shown numerically by adding nearest-neighbor interactions, which typically destroy Bose-Einstein condensates.We discuss further applications such as geometrically inducing finite-momentum condensates.Since our solution strategy is based on a generic mapping, our findings are applicable in a broader context, in which a particular state should be protected, by introducing an additional center site.