Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2024
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915104829734912 |
|---|---|
| author | Dong, Hang Zhang, Pengfei Dag, Ceren B. Gao, Yu Wang, Ning Deng, Jinfeng Zhang, Xu Chen, Jiachen Xu, Shibo Wang, Ke Wu, Yaozu Zhang, Chuanyu Jin, Feitong Zhu, Xuhao Zhang, Aosai Zou, Yiren Tan, Ziqi Cui, Zhengyi Zhu, Zitian Shen, Fanhao Li, Tingting Zhong, Jiarun Bao, Zehang Li, Hekang Wang, Zhen Guo, Qiujiang Song, Chao Liu, Fangli Chan, Amos Ying, Lei Wang, H. |
| author_facet | Dong, Hang Zhang, Pengfei Dag, Ceren B. Gao, Yu Wang, Ning Deng, Jinfeng Zhang, Xu Chen, Jiachen Xu, Shibo Wang, Ke Wu, Yaozu Zhang, Chuanyu Jin, Feitong Zhu, Xuhao Zhang, Aosai Zou, Yiren Tan, Ziqi Cui, Zhengyi Zhu, Zitian Shen, Fanhao Li, Tingting Zhong, Jiarun Bao, Zehang Li, Hekang Wang, Zhen Guo, Qiujiang Song, Chao Liu, Fangli Chan, Amos Ying, Lei Wang, H. |
| contents | The spectral form factor (SFF) captures universal spectral fluctuations as signatures of quantum chaos, and has been instrumental in advancing multiple frontiers of physics including the studies of black holes and quantum many-body systems. However, the measurement of SFF in many-body systems is challenging due to the difficulty in resolving level spacings that become exponentially small with increasing system size. Here we experimentally measure the SFF to probe the presence or absence of chaos in quantum many-body systems using a superconducting quantum processor with a randomized measurement protocol. For a Floquet chaotic system, we observe signatures of spectral rigidity of random matrix theory in SFF given by the ramp-plateau behavior. For a Hamiltonian system, we utilize SFF to distinguish the quantum many-body chaotic phase and the prethermal many-body localization. We observe the dip-ramp-plateau behavior of random matrix theory in the chaotic phase, and contrast the scaling of the plateau time in system size between the many-body chaotic and localized phases. Furthermore, we probe the eigenstate statistics by measuring a generalization of the SFF, known as the partial SFF, and observe distinct behaviors in the purities of the reduced density matrix in the two phases. This work unveils a new way of extracting the universal signatures of many-body quantum chaos in quantum devices by probing the correlations in eigenenergies and eigenstates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_16935 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors Dong, Hang Zhang, Pengfei Dag, Ceren B. Gao, Yu Wang, Ning Deng, Jinfeng Zhang, Xu Chen, Jiachen Xu, Shibo Wang, Ke Wu, Yaozu Zhang, Chuanyu Jin, Feitong Zhu, Xuhao Zhang, Aosai Zou, Yiren Tan, Ziqi Cui, Zhengyi Zhu, Zitian Shen, Fanhao Li, Tingting Zhong, Jiarun Bao, Zehang Li, Hekang Wang, Zhen Guo, Qiujiang Song, Chao Liu, Fangli Chan, Amos Ying, Lei Wang, H. Quantum Physics The spectral form factor (SFF) captures universal spectral fluctuations as signatures of quantum chaos, and has been instrumental in advancing multiple frontiers of physics including the studies of black holes and quantum many-body systems. However, the measurement of SFF in many-body systems is challenging due to the difficulty in resolving level spacings that become exponentially small with increasing system size. Here we experimentally measure the SFF to probe the presence or absence of chaos in quantum many-body systems using a superconducting quantum processor with a randomized measurement protocol. For a Floquet chaotic system, we observe signatures of spectral rigidity of random matrix theory in SFF given by the ramp-plateau behavior. For a Hamiltonian system, we utilize SFF to distinguish the quantum many-body chaotic phase and the prethermal many-body localization. We observe the dip-ramp-plateau behavior of random matrix theory in the chaotic phase, and contrast the scaling of the plateau time in system size between the many-body chaotic and localized phases. Furthermore, we probe the eigenstate statistics by measuring a generalization of the SFF, known as the partial SFF, and observe distinct behaviors in the purities of the reduced density matrix in the two phases. This work unveils a new way of extracting the universal signatures of many-body quantum chaos in quantum devices by probing the correlations in eigenenergies and eigenstates. |
| title | Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2403.16935 |