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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/2511.14260 |
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| _version_ | 1866911273865707520 |
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| author | Yabuuchi, Yoshihiro Danshita, Ippei |
| author_facet | Yabuuchi, Yoshihiro Danshita, Ippei |
| contents | We investigate the stability of current-carrying states with quasi-momentum $K$ in the Bose-condensed phase of the hard-core Bose-Hubbard model on a square lattice, where particles transfer between two sites separated by distance $r$ with hopping amplitude decaying algebraically with $r$ as $\propto r^{-α}$. Using a mean-field theory, we analyze the excitation spectrum and determine the critical quasi-momenta associated with Landau and dynamical instabilities. We find that the long-range hopping suppresses the critical quasi-momenta and makes them vanish at $α=3$. Near $α=3$, we show that the critical quasi-momentum $K_{\mathrm{c}}$ for the dynamical instability exhibits the scaling behavior $K_\mathrm{c} \propto Δ^{1+Δ}$ with $Δ=α-3$, where the scaling exponent explicitly depends on $Δ$, as a consequence of the long-range nature of the hopping. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14260 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stability of current-carrying states in hard-core bosons with long-range hopping on a square lattice Yabuuchi, Yoshihiro Danshita, Ippei Quantum Gases We investigate the stability of current-carrying states with quasi-momentum $K$ in the Bose-condensed phase of the hard-core Bose-Hubbard model on a square lattice, where particles transfer between two sites separated by distance $r$ with hopping amplitude decaying algebraically with $r$ as $\propto r^{-α}$. Using a mean-field theory, we analyze the excitation spectrum and determine the critical quasi-momenta associated with Landau and dynamical instabilities. We find that the long-range hopping suppresses the critical quasi-momenta and makes them vanish at $α=3$. Near $α=3$, we show that the critical quasi-momentum $K_{\mathrm{c}}$ for the dynamical instability exhibits the scaling behavior $K_\mathrm{c} \propto Δ^{1+Δ}$ with $Δ=α-3$, where the scaling exponent explicitly depends on $Δ$, as a consequence of the long-range nature of the hopping. |
| title | Stability of current-carrying states in hard-core bosons with long-range hopping on a square lattice |
| topic | Quantum Gases |
| url | https://arxiv.org/abs/2511.14260 |