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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2503.07975 |
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| _version_ | 1866915190922018816 |
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| author | Liu-Sun, J. Y. Ma, E. S. Song, Z. |
| author_facet | Liu-Sun, J. Y. Ma, E. S. Song, Z. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_07975 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Condensate ground states of hardcore bosons induced by an array of impurities Liu-Sun, J. Y. Ma, E. S. Song, Z. Quantum Gases Strongly Correlated Electrons 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. |
| title | Condensate ground states of hardcore bosons induced by an array of impurities |
| topic | Quantum Gases Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2503.07975 |