Experimental observation of exact quantum critical states
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arXiv
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| Autores principales: | , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| author | Huang, Wenhui Zhou, Xin-Chi Zhang, Libo Zhang, Jiawei Zhou, Yuxuan Yao, Bing-Chen Guo, Zechen Huang, Peisheng Li, Qixian Liang, Yongqi Liu, Yiting Qiu, Jiawei Sun, Daxiong Sun, Xuandong Wang, Zilin Xie, Changrong Xiong, Yuzhe Yang, Xiaohan Zhang, Jiajian Zhang, Zihao Chu, Ji Guo, Weijie Jiang, Ji Linpeng, Xiayu Ren, Wenhui Yuan, Yuefeng Niu, Jingjing Tao, Ziyu Liu, Song Zhong, Youpeng Liu, Xiong-Jun Yu, Dapeng |
| author_facet | Huang, Wenhui Zhou, Xin-Chi Zhang, Libo Zhang, Jiawei Zhou, Yuxuan Yao, Bing-Chen Guo, Zechen Huang, Peisheng Li, Qixian Liang, Yongqi Liu, Yiting Qiu, Jiawei Sun, Daxiong Sun, Xuandong Wang, Zilin Xie, Changrong Xiong, Yuzhe Yang, Xiaohan Zhang, Jiajian Zhang, Zihao Chu, Ji Guo, Weijie Jiang, Ji Linpeng, Xiayu Ren, Wenhui Yuan, Yuefeng Niu, Jingjing Tao, Ziyu Liu, Song Zhong, Youpeng Liu, Xiong-Jun Yu, Dapeng |
| contents | Anderson localization physics features three fundamental types of eigenstates: extended, localized, and critical, with the third one exhibiting the exotic properties in-between the former two. Confirming the presence of critical states is challenging, as it typically necessitates either advancing the analysis to the thermodynamic limit or identifying a universal mechanism which can rigorously determine these states. Here we report the unambiguous experimental realization of critical states, governed by a rigorous mechanism for exact quantum critical states, and further observe a generalized mechanism that quasiperiodic zeros in hopping couplings protect the critical states. We implement a programmable quasiperiodic mosaic model with tunable couplings and on-site potentials through a multiple superconducting qubit quantum system. By measuring the time-evolving observables, we identify the coexisting delocalized dynamics and incommensurately distributed zeros in the couplings, which are the defining features of the critical states. We map the localized-to-critical phase transition and demonstrate that critical states persist until quasiperiodic zeros are removed by strong long-range couplings, highlighting a novel generalized mechanism discovered in this experiment and shown with rigorous theory. Finally, we resolve the energy-dependent transition between localized and critical states, revealing the presence of anomalous mobility edges. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_19185 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Experimental observation of exact quantum critical states Huang, Wenhui Zhou, Xin-Chi Zhang, Libo Zhang, Jiawei Zhou, Yuxuan Yao, Bing-Chen Guo, Zechen Huang, Peisheng Li, Qixian Liang, Yongqi Liu, Yiting Qiu, Jiawei Sun, Daxiong Sun, Xuandong Wang, Zilin Xie, Changrong Xiong, Yuzhe Yang, Xiaohan Zhang, Jiajian Zhang, Zihao Chu, Ji Guo, Weijie Jiang, Ji Linpeng, Xiayu Ren, Wenhui Yuan, Yuefeng Niu, Jingjing Tao, Ziyu Liu, Song Zhong, Youpeng Liu, Xiong-Jun Yu, Dapeng Quantum Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics Anderson localization physics features three fundamental types of eigenstates: extended, localized, and critical, with the third one exhibiting the exotic properties in-between the former two. Confirming the presence of critical states is challenging, as it typically necessitates either advancing the analysis to the thermodynamic limit or identifying a universal mechanism which can rigorously determine these states. Here we report the unambiguous experimental realization of critical states, governed by a rigorous mechanism for exact quantum critical states, and further observe a generalized mechanism that quasiperiodic zeros in hopping couplings protect the critical states. We implement a programmable quasiperiodic mosaic model with tunable couplings and on-site potentials through a multiple superconducting qubit quantum system. By measuring the time-evolving observables, we identify the coexisting delocalized dynamics and incommensurately distributed zeros in the couplings, which are the defining features of the critical states. We map the localized-to-critical phase transition and demonstrate that critical states persist until quasiperiodic zeros are removed by strong long-range couplings, highlighting a novel generalized mechanism discovered in this experiment and shown with rigorous theory. Finally, we resolve the energy-dependent transition between localized and critical states, revealing the presence of anomalous mobility edges. |
| title | Experimental observation of exact quantum critical states |
| topic | Quantum Physics Disordered Systems and Neural Networks Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2502.19185 |