Slow growth of quantum magic in disorder-free Stark many-body localization
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866917187548086272 |
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| author | Li, Han-Ze Zhang, Yi-Rui Zhao, Yu-Jun Huang, Xuyang Zhong, Jian-Xin |
| author_facet | Li, Han-Ze Zhang, Yi-Rui Zhao, Yu-Jun Huang, Xuyang Zhong, Jian-Xin |
| contents | Disorder-free quantum many-body localization can strongly suppress transport while still enabling the dynamical buildup of computationally costly non-Clifford resources. In a tilted transverse-field Ising chain realizing disorder-free Stark many-body localization, we use the stabilizer Rényi entropy to quantify quantum magic (nonstabilizerness) and find that it remains finite and grows anomalously slowly over extended time windows before saturating to a size-dependent plateau deep in the strong-tilt regime, with pronounced initial-state selectivity. Upon increasing the Stark gradient, the long-time magic and half-chain entanglement exhibit consistent finite-size crossing behavior, indicating a crossover from ergodic dynamics to constrained localization. These results establish stabilizer-based magic as a practical complexity diagnostic of disorder-free ergodicity breaking and constrained dynamics, and provide an experimentally accessible route to benchmarking and designing near-term quantum simulators. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_16859 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Slow growth of quantum magic in disorder-free Stark many-body localization Li, Han-Ze Zhang, Yi-Rui Zhao, Yu-Jun Huang, Xuyang Zhong, Jian-Xin Quantum Physics Disorder-free quantum many-body localization can strongly suppress transport while still enabling the dynamical buildup of computationally costly non-Clifford resources. In a tilted transverse-field Ising chain realizing disorder-free Stark many-body localization, we use the stabilizer Rényi entropy to quantify quantum magic (nonstabilizerness) and find that it remains finite and grows anomalously slowly over extended time windows before saturating to a size-dependent plateau deep in the strong-tilt regime, with pronounced initial-state selectivity. Upon increasing the Stark gradient, the long-time magic and half-chain entanglement exhibit consistent finite-size crossing behavior, indicating a crossover from ergodic dynamics to constrained localization. These results establish stabilizer-based magic as a practical complexity diagnostic of disorder-free ergodicity breaking and constrained dynamics, and provide an experimentally accessible route to benchmarking and designing near-term quantum simulators. |
| title | Slow growth of quantum magic in disorder-free Stark many-body localization |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.16859 |