Condensate ground states of hardcore bosons induced by an array of impurities
Phys. Rev. B 112, 035117 – Published 7 July, 2025
DOI: https://doi.org/10.1103/bm6l-ns6d
Abstract
Neither hardcore bosons nor fermions can occupy the same lattice site-state. However, a nearest-neighbor interaction may counteract the hardcore effect, resulting in condensate states in a bosonic system. In this work, we unveil the underlying mechanism by developing a general method to construct the condensate eigenstates from those of sub-Hamiltonians. As an application, we find that a local on-site potential can induce an evanescent condensate mode. Based on this, exact condensate ground states of hardcore bosons, possessing off-diagonal long-range order, can be constructed when an array of impurities is applied. The effect of the off-resonance impurity on the condensate ground states is also investigated using numerical simulations of the dynamic response.
