Eigenstate Thermalization in Long-Range Interacting Systems
| Autor: | Sugimoto, Shoki, Hamazaki, Ryusuke, Ueda, Masahito |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.129.030602 |
| Popis: | Motivated by recent ion experiments on tunable long-range interacting quantum systems [B.Neyenhuis et al., Sci.Adv.3, e1700672 (2017, https://doi.org/10.1126/sciadv.1700672 )], we test the strong eigenstate thermalization hypothesis (ETH) for systems with power-law interactions $\sim 1/r^{\alpha}$. We numerically demonstrate that the strong ETH typically holds at least for systems with $\alpha\geq 0.6$, which include Coulomb, monopole-dipole, and dipole-dipole interactions. Compared with short-range interacting systems, the eigenstate expectation value of a generic local observable is shown to deviate significantly from its microcanonical ensemble average for long-range interacting systems. We find that Srednicki's ansatz breaks down for $\alpha \lesssim 1.0$ at least for relatively large system sizes. Comment: 7 pages, 4 figures, supplemental material with 22 pages and 13 figures. The readability of the manuscript (especially the setup section)is improved. Hyperlinks are embedded |
| Databáze: | arXiv |
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