Long-lived topological time-crystalline order on a quantum processor

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Hauptverfasser: 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
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Veröffentlicht: 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