A universal black-box quantum Monte Carlo approach to quantum phase transitions
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866908796889071616 |
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| author | Ezzell, Nic Barash, Lev Hen, Itay |
| author_facet | Ezzell, Nic Barash, Lev Hen, Itay |
| contents | We derive exact, universal, closed-form quantum Monte Carlo estimators for finite-temperature energy susceptibility and fidelity susceptibility, applicable to essentially arbitrary Hamiltonians. Combined with recent advancements in Monte Carlo, our approach enables a black-box framework for studying quantum phase transitions--without requiring prior knowledge of an order parameter or the manual design of model-specific ergodic quantum Monte Carlo update rules. We demonstrate the utility of our method by applying a single implementation to the transverse-field Ising model, the XXZ model, and an ensemble of models related by random unitaries. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_03924 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A universal black-box quantum Monte Carlo approach to quantum phase transitions Ezzell, Nic Barash, Lev Hen, Itay Statistical Mechanics Computational Physics Quantum Physics We derive exact, universal, closed-form quantum Monte Carlo estimators for finite-temperature energy susceptibility and fidelity susceptibility, applicable to essentially arbitrary Hamiltonians. Combined with recent advancements in Monte Carlo, our approach enables a black-box framework for studying quantum phase transitions--without requiring prior knowledge of an order parameter or the manual design of model-specific ergodic quantum Monte Carlo update rules. We demonstrate the utility of our method by applying a single implementation to the transverse-field Ising model, the XXZ model, and an ensemble of models related by random unitaries. |
| title | A universal black-box quantum Monte Carlo approach to quantum phase transitions |
| topic | Statistical Mechanics Computational Physics Quantum Physics |
| url | https://arxiv.org/abs/2408.03924 |