Exploring nontrivial topology at quantum criticality in a superconducting processor
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arXiv
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| Natura: | Preprint |
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2025
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| _version_ | 1866911662257209344 |
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| author | Tan, Ziqi Wang, Ke Yang, Sheng Shen, Fanhao Jin, Feitong Zhu, Xuhao Ji, Yujie Xu, Shibo Chen, Jiachen Wu, Yaozu Zhang, Chuanyu Gao, Yu Wang, Ning Zou, Yiren Zhang, Aosai Li, Tingting Bao, Zehang Zhu, Zitian Zhong, Jiarun Cui, Zhengyi Han, Yihang He, Yiyang Wang, Han Yang, Jianan Wang, Yanzhe Shen, Jiayuan Liu, Gongyu Song, Zixuan Deng, Jinfeng Dong, Hang Zhang, Pengfei Jian, Shao-Kai Li, Hekang Wang, Zhen Guo, Qiujiang Song, Chao Yu, Xue-Jia Wang, H. Lin, Hai-Qing Wu, Fei |
| author_facet | Tan, Ziqi Wang, Ke Yang, Sheng Shen, Fanhao Jin, Feitong Zhu, Xuhao Ji, Yujie Xu, Shibo Chen, Jiachen Wu, Yaozu Zhang, Chuanyu Gao, Yu Wang, Ning Zou, Yiren Zhang, Aosai Li, Tingting Bao, Zehang Zhu, Zitian Zhong, Jiarun Cui, Zhengyi Han, Yihang He, Yiyang Wang, Han Yang, Jianan Wang, Yanzhe Shen, Jiayuan Liu, Gongyu Song, Zixuan Deng, Jinfeng Dong, Hang Zhang, Pengfei Jian, Shao-Kai Li, Hekang Wang, Zhen Guo, Qiujiang Song, Chao Yu, Xue-Jia Wang, H. Lin, Hai-Qing Wu, Fei |
| contents | The discovery of nontrivial topology in quantum critical states has introduced a new paradigm for classifying quantum phase transitions and challenges the conventional belief that topological phases are typically associated with a bulk energy gap. However, realizing and characterizing such topologically nontrivial quantum critical states with large particle numbers remains an outstanding experimental challenge in statistical and condensed matter physics. Programmable quantum processors can directly prepare and manipulate exotic quantum many-body states, offering a powerful path for exploring the physics behind these states. Here, we present an experimental exploration of the critical cluster Ising model by preparing its low-lying critical states on a superconducting processor with up to $100$ qubits. We develop an efficient method to probe the boundary $g$-function based on prepared low-energy states, which allows us to uniquely identify the nontrivial topology of the critical systems under study. Furthermore, by adapting the entanglement Hamiltonian tomography technique, we recognize two-fold topological degeneracy in the entanglement spectrum under periodic boundary condition, experimentally verifying the universal bulk-boundary correspondence in topological critical systems. Our results demonstrate the low-lying critical states as useful quantum resources for investigating the interplay between topology and quantum criticality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_04679 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring nontrivial topology at quantum criticality in a superconducting processor Tan, Ziqi Wang, Ke Yang, Sheng Shen, Fanhao Jin, Feitong Zhu, Xuhao Ji, Yujie Xu, Shibo Chen, Jiachen Wu, Yaozu Zhang, Chuanyu Gao, Yu Wang, Ning Zou, Yiren Zhang, Aosai Li, Tingting Bao, Zehang Zhu, Zitian Zhong, Jiarun Cui, Zhengyi Han, Yihang He, Yiyang Wang, Han Yang, Jianan Wang, Yanzhe Shen, Jiayuan Liu, Gongyu Song, Zixuan Deng, Jinfeng Dong, Hang Zhang, Pengfei Jian, Shao-Kai Li, Hekang Wang, Zhen Guo, Qiujiang Song, Chao Yu, Xue-Jia Wang, H. Lin, Hai-Qing Wu, Fei Quantum Physics Strongly Correlated Electrons The discovery of nontrivial topology in quantum critical states has introduced a new paradigm for classifying quantum phase transitions and challenges the conventional belief that topological phases are typically associated with a bulk energy gap. However, realizing and characterizing such topologically nontrivial quantum critical states with large particle numbers remains an outstanding experimental challenge in statistical and condensed matter physics. Programmable quantum processors can directly prepare and manipulate exotic quantum many-body states, offering a powerful path for exploring the physics behind these states. Here, we present an experimental exploration of the critical cluster Ising model by preparing its low-lying critical states on a superconducting processor with up to $100$ qubits. We develop an efficient method to probe the boundary $g$-function based on prepared low-energy states, which allows us to uniquely identify the nontrivial topology of the critical systems under study. Furthermore, by adapting the entanglement Hamiltonian tomography technique, we recognize two-fold topological degeneracy in the entanglement spectrum under periodic boundary condition, experimentally verifying the universal bulk-boundary correspondence in topological critical systems. Our results demonstrate the low-lying critical states as useful quantum resources for investigating the interplay between topology and quantum criticality. |
| title | Exploring nontrivial topology at quantum criticality in a superconducting processor |
| topic | Quantum Physics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2501.04679 |