Long-lived topological time-crystalline order on a quantum processor
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arXiv
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| Format: | Preprint |
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2024
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| author | Xiang, Liang Jiang, Wenjie Bao, Zehang Song, Zixuan Xu, Shibo Wang, Ke Chen, Jiachen Jin, Feitong Zhu, Xuhao Zhu, Zitian Shen, Fanhao Wang, Ning Zhang, Chuanyu Wu, Yaozu Zou, Yiren Zhong, Jiarun Cui, Zhengyi Zhang, Aosai Tan, Ziqi Li, Tingting Gao, Yu Deng, Jinfeng Zhang, Xu Dong, Hang Zhang, Pengfei Jiang, Si Li, Weikang Lu, Zhide Sun, Zheng-Zhi Li, Hekang Wang, Zhen Song, Chao Guo, Qiujiang Liu, Fangli Gong, Zhe-Xuan Gorshkov, Alexey V. Yao, Norman Y. Iadecola, Thomas Machado, Francisco Wang, H. Deng, Dong-Ling |
| author_facet | Xiang, Liang Jiang, Wenjie Bao, Zehang Song, Zixuan Xu, Shibo Wang, Ke Chen, Jiachen Jin, Feitong Zhu, Xuhao Zhu, Zitian Shen, Fanhao Wang, Ning Zhang, Chuanyu Wu, Yaozu Zou, Yiren Zhong, Jiarun Cui, Zhengyi Zhang, Aosai Tan, Ziqi Li, Tingting Gao, Yu Deng, Jinfeng Zhang, Xu Dong, Hang Zhang, Pengfei Jiang, Si Li, Weikang Lu, Zhide Sun, Zheng-Zhi Li, Hekang Wang, Zhen Song, Chao Guo, Qiujiang Liu, Fangli Gong, Zhe-Xuan Gorshkov, Alexey V. Yao, Norman Y. Iadecola, Thomas Machado, Francisco Wang, H. Deng, Dong-Ling |
| contents | Topologically ordered phases of matter elude Landau's symmetry-breaking theory, featuring a variety of intriguing properties such as long-range entanglement and intrinsic robustness against local perturbations. Their extension to periodically driven systems gives rise to exotic new phenomena that are forbidden in thermal equilibrium. Here, we report the observation of signatures of such a phenomenon -- a prethermal topologically ordered time crystal -- with programmable superconducting qubits arranged on a square lattice. By periodically driving the superconducting qubits with a surface-code Hamiltonian, we observe discrete time-translation symmetry breaking dynamics that is only manifested in the subharmonic temporal response of nonlocal logical operators. We further connect the observed dynamics to the underlying topological order by measuring a nonzero topological entanglement entropy and studying its subsequent dynamics. Our results demonstrate the potential to explore exotic topologically ordered nonequilibrium phases of matter with noisy intermediate-scale quantum processors. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04333 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Long-lived topological time-crystalline order on a quantum processor Xiang, Liang Jiang, Wenjie Bao, Zehang Song, Zixuan Xu, Shibo Wang, Ke Chen, Jiachen Jin, Feitong Zhu, Xuhao Zhu, Zitian Shen, Fanhao Wang, Ning Zhang, Chuanyu Wu, Yaozu Zou, Yiren Zhong, Jiarun Cui, Zhengyi Zhang, Aosai Tan, Ziqi Li, Tingting Gao, Yu Deng, Jinfeng Zhang, Xu Dong, Hang Zhang, Pengfei Jiang, Si Li, Weikang Lu, Zhide Sun, Zheng-Zhi Li, Hekang Wang, Zhen Song, Chao Guo, Qiujiang Liu, Fangli Gong, Zhe-Xuan Gorshkov, Alexey V. Yao, Norman Y. Iadecola, Thomas Machado, Francisco Wang, H. Deng, Dong-Ling Quantum Physics Disordered Systems and Neural Networks Superconductivity Topologically ordered phases of matter elude Landau's symmetry-breaking theory, featuring a variety of intriguing properties such as long-range entanglement and intrinsic robustness against local perturbations. Their extension to periodically driven systems gives rise to exotic new phenomena that are forbidden in thermal equilibrium. Here, we report the observation of signatures of such a phenomenon -- a prethermal topologically ordered time crystal -- with programmable superconducting qubits arranged on a square lattice. By periodically driving the superconducting qubits with a surface-code Hamiltonian, we observe discrete time-translation symmetry breaking dynamics that is only manifested in the subharmonic temporal response of nonlocal logical operators. We further connect the observed dynamics to the underlying topological order by measuring a nonzero topological entanglement entropy and studying its subsequent dynamics. Our results demonstrate the potential to explore exotic topologically ordered nonequilibrium phases of matter with noisy intermediate-scale quantum processors. |
| title | Long-lived topological time-crystalline order on a quantum processor |
| topic | Quantum Physics Disordered Systems and Neural Networks Superconductivity |
| url | https://arxiv.org/abs/2401.04333 |