Condensate ground states of hardcore bosons induced by an array of impurities
Abstract
Neither hardcore bosons nor fermions can occupy the same lattice site-state. However, a nearest neighbour 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.
Keywords
Cite
@article{arxiv.2503.07975,
title = {Condensate ground states of hardcore bosons induced by an array of impurities},
author = {J. Y. Liu-Sun and E. S. Ma and Z. Song},
journal= {arXiv preprint arXiv:2503.07975},
year = {2025}
}