Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909784236621824 |
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| author | Thamm, Matthias Radhakrishnan, Harini Barghathi, Hatem Herdman, C. M. Biswas, Arpan Rosenow, Bernd Del Maestro, Adrian |
| author_facet | Thamm, Matthias Radhakrishnan, Harini Barghathi, Hatem Herdman, C. M. Biswas, Arpan Rosenow, Bernd Del Maestro, Adrian |
| contents | We present a controlled numerical study of the Berezinskii-Kosterlitz-Thouless (BKT) transition in the one-dimensional Bose-Hubbard model at unit filling, providing evidence of the characteristic logarithmic finite-size scaling of the BKT transition. Employing density matrix renormalization group and quantum Monte Carlo simulations under periodic boundary conditions, together with a systematic finite-size scaling analysis of bipartite particle number fluctuations, we resolve boundary-induced complications that previously obscured critical scaling. We demonstrate that a suitably chosen central region under open boundaries reproduces universal RG signatures, reconciling earlier discrepancies. Finally, leveraging a non-parametric Bayesian analysis, we determine the critical interaction strength with high precision, establishing a benchmark for BKT physics in one-dimensional quantum models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18622 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition Thamm, Matthias Radhakrishnan, Harini Barghathi, Hatem Herdman, C. M. Biswas, Arpan Rosenow, Bernd Del Maestro, Adrian Quantum Gases Mesoscale and Nanoscale Physics We present a controlled numerical study of the Berezinskii-Kosterlitz-Thouless (BKT) transition in the one-dimensional Bose-Hubbard model at unit filling, providing evidence of the characteristic logarithmic finite-size scaling of the BKT transition. Employing density matrix renormalization group and quantum Monte Carlo simulations under periodic boundary conditions, together with a systematic finite-size scaling analysis of bipartite particle number fluctuations, we resolve boundary-induced complications that previously obscured critical scaling. We demonstrate that a suitably chosen central region under open boundaries reproduces universal RG signatures, reconciling earlier discrepancies. Finally, leveraging a non-parametric Bayesian analysis, we determine the critical interaction strength with high precision, establishing a benchmark for BKT physics in one-dimensional quantum models. |
| title | Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition |
| topic | Quantum Gases Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2502.18622 |