Condensate ground states of hardcore bosons induced by an array of impurities

J. Y. Liu-Sun; E. S. Ma; Z. Song

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arXiv · 2503.07975

Condensate ground states of hardcore bosons induced by an array of impurities

J. Y. Liu-Sun·E. S. Ma·Z. Song

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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.

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J. Y. Liu-Sun, E. S. Ma, Z. Song. 2025-03-11. Condensate ground states of hardcore bosons induced by an array of impurities. https://arxiv.org/abs/2503.07975

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