Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum Processors Article Swipe
Hang Dong
,
Pengfei Zhang
,
Ceren B. Dağ
,
Yu Gao
,
Ning Wang
,
Jinfeng Deng
,
Xu Zhang
,
Jiachen Chen
,
Shibo Xu
,
Ke Wang
,
Yaozu Wu
,
Chuanyu Zhang
,
Feitong Jin
,
Xuhao Zhu
,
Aosai Zhang
,
Yiren Zou
,
Ziqi Tan
,
Zhengyi Cui
,
Zitian Zhu
,
Fanhao Shen
,
Tingting Li
,
Jiarun Zhong
,
Zehang Bao
,
Hekang Li
,
Zhen Wang
,
Qiujiang Guo
,
Chao Song
,
Fangli Liu
,
Amos Chan
,
Lei Ying
,
H. Wang
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2403.16935
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2403.16935
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.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2403.16935
- https://arxiv.org/pdf/2403.16935
- OA Status
- green
- Cited By
- 1
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4393213766
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4393213766Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2403.16935Digital Object Identifier
- Title
-
Measuring Spectral Form Factor in Many-Body Chaotic and Localized Phases of Quantum ProcessorsWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-03-25Full publication date if available
- Authors
-
Hang Dong, Pengfei Zhang, Ceren B. Dağ, Yu Gao, Ning Wang, Jinfeng Deng, Xu Zhang, Jiachen Chen, Shibo Xu, Ke Wang, Yaozu Wu, Chuanyu Zhang, Feitong Jin, Xuhao Zhu, Aosai Zhang, Yiren Zou, Ziqi Tan, Zhengyi Cui, Zitian Zhu, Fanhao Shen, Tingting Li, Jiarun Zhong, Zehang Bao, Hekang Li, Zhen Wang, Qiujiang Guo, Chao Song, Fangli Liu, Amos Chan, Lei Ying, H. WangList of authors in order
- Landing page
-
https://arxiv.org/abs/2403.16935Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2403.16935Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
-
https://arxiv.org/pdf/2403.16935Direct OA link when available
- Concepts
-
Chaotic, Quantum, Factor (programming language), Physics, Computer science, Quantum mechanics, Artificial intelligence, Programming languageTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
1Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 1Per-year citation counts (last 5 years)
- Related works (count)
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10Other works algorithmically related by OpenAlex
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