Scale-invariant phase transition of disordered bosons in one dimension
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866910919624228864 |
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| author | Gupta, Tanul Masella, Guido Mattiotti, Francesco Prokof'ev, Nikolay V. Pupillo, Guido |
| author_facet | Gupta, Tanul Masella, Guido Mattiotti, Francesco Prokof'ev, Nikolay V. Pupillo, Guido |
| contents | The disorder-induced quantum phase transition between superfluid and non-superfluid states of bosonic particles in one dimension is generally expected to be of the Berezinskii-Kosterlitz-Thouless (BKT) type. Here, we show that hard-core lattice bosons with integrable power-law hopping decaying with distance as $1/r^α$ - corresponding in spin language to a $XY$ model with power-law couplings - undergo a non-BKT continuous phase transition instead. We use exact quantum Monte-Carlo methods to determine the phase diagram for different values of the exponent $α$, focusing on the regime $α> 2$. We find that the scaling of the superfluid stiffness with the system size is scale-invariant at the transition point for any $α\leq 3$ - a behavior incompatible with the BKT scenario and typical of continuous phase transitions in higher dimension. By scaling analysis near the transition point, we find that our data are consistent with a correlation length exponent satisfying the Harris bound $ν\geq 2$ and demonstrate a new universal behavior of disordered bosons in one dimension. For $α>3$ our data are consistent with a BKT scenario where the liquid is pinned by infinitesimal disorder. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_17682 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Scale-invariant phase transition of disordered bosons in one dimension Gupta, Tanul Masella, Guido Mattiotti, Francesco Prokof'ev, Nikolay V. Pupillo, Guido Quantum Gases Disordered Systems and Neural Networks Quantum Physics The disorder-induced quantum phase transition between superfluid and non-superfluid states of bosonic particles in one dimension is generally expected to be of the Berezinskii-Kosterlitz-Thouless (BKT) type. Here, we show that hard-core lattice bosons with integrable power-law hopping decaying with distance as $1/r^α$ - corresponding in spin language to a $XY$ model with power-law couplings - undergo a non-BKT continuous phase transition instead. We use exact quantum Monte-Carlo methods to determine the phase diagram for different values of the exponent $α$, focusing on the regime $α> 2$. We find that the scaling of the superfluid stiffness with the system size is scale-invariant at the transition point for any $α\leq 3$ - a behavior incompatible with the BKT scenario and typical of continuous phase transitions in higher dimension. By scaling analysis near the transition point, we find that our data are consistent with a correlation length exponent satisfying the Harris bound $ν\geq 2$ and demonstrate a new universal behavior of disordered bosons in one dimension. For $α>3$ our data are consistent with a BKT scenario where the liquid is pinned by infinitesimal disorder. |
| title | Scale-invariant phase transition of disordered bosons in one dimension |
| topic | Quantum Gases Disordered Systems and Neural Networks Quantum Physics |
| url | https://arxiv.org/abs/2310.17682 |