Long-range interacting Stark many-body probes with super-Heisenberg precision

doi:10.1088/1674-1056/acf302

中国物理B ›› 2023, Vol. 32 ›› Issue (10): 100313-100313.doi: 10.1088/1674-1056/acf302

所属专题： SPECIAL TOPIC — Fabrication and manipulation of the second-generation quantum systems

Long-range interacting Stark many-body probes with super-Heisenberg precision

Rozhin Yousefjani^†, Xingjian He(何行健), and Abolfazl Bayat^‡

Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610051, China

收稿日期:2023-07-09 修回日期:2023-08-15 接受日期:2023-08-23 出版日期:2023-09-21 发布日期:2023-10-08
通讯作者: Rozhin Yousefjani, Abolfazl Bayat E-mail:rozhinyousefjani@uestc.edu.cn;abolfazl.bayat@uestc.edu.cn
基金资助:
Project supported by the National Key R&D Program of China (Grant No. 2018YFA0306703), the National Science Foundation of China (Grant Nos. 12050410253, 92065115, and 12274059), and the Ministry of Science and Technology of China (Grant No. QNJ2021167001L). Rozhin Yousefjani thanks the National Science Foundation of China for the International Young Scientists Fund (Grant No. 12250410242).

Long-range interacting Stark many-body probes with super-Heisenberg precision

Rozhin Yousefjani^†, Xingjian He(何行健), and Abolfazl Bayat^‡

Institute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China, Chengdu 610051, China

Received:2023-07-09 Revised:2023-08-15 Accepted:2023-08-23 Online:2023-09-21 Published:2023-10-08
Contact: Rozhin Yousefjani, Abolfazl Bayat E-mail:rozhinyousefjani@uestc.edu.cn;abolfazl.bayat@uestc.edu.cn
Supported by:
Project supported by the National Key R&D Program of China (Grant No. 2018YFA0306703), the National Science Foundation of China (Grant Nos. 12050410253, 92065115, and 12274059), and the Ministry of Science and Technology of China (Grant No. QNJ2021167001L). Rozhin Yousefjani thanks the National Science Foundation of China for the International Young Scientists Fund (Grant No. 12250410242).

摘要/Abstract

摘要： In contrast to interferometry-based quantum sensing, where interparticle interaction is detrimental, quantum many-body probes exploit such interactions to achieve quantum-enhanced sensitivity. In most of the studied quantum many-body probes, the interaction is considered to be short-ranged. Here, we investigate the impact of long-range interaction at various filling factors on the performance of Stark quantum probes for measuring a small gradient field. These probes harness the ground state Stark localization phase transition which happens at an infinitesimal gradient field as the system size increases. Our results show that while super-Heisenberg precision is always achievable in all ranges of interaction, the long-range interacting Stark probe reveals two distinct behaviors. First, by algebraically increasing the range of interaction, the localization power is enhanced and thus the sensitivity of the probe decreases. Second, as the interaction range becomes close to a fully connected graph its effective localization power disappears and thus the sensitivity of the probe starts to enhance again. The super-Heisenberg precision is achievable throughout the extended phase until the transition point and remains valid even when the state preparation time is incorporated in the resource analysis. As the probe enters the localized phase, the sensitivity decreases and its performance becomes size-independent, following a universal behavior. In addition, our analysis shows that lower filling factors lead to better precision for measuring weak gradient fields.

关键词: quantum information, quantum statistical mechanics, quantum phase transitions

Abstract: In contrast to interferometry-based quantum sensing, where interparticle interaction is detrimental, quantum many-body probes exploit such interactions to achieve quantum-enhanced sensitivity. In most of the studied quantum many-body probes, the interaction is considered to be short-ranged. Here, we investigate the impact of long-range interaction at various filling factors on the performance of Stark quantum probes for measuring a small gradient field. These probes harness the ground state Stark localization phase transition which happens at an infinitesimal gradient field as the system size increases. Our results show that while super-Heisenberg precision is always achievable in all ranges of interaction, the long-range interacting Stark probe reveals two distinct behaviors. First, by algebraically increasing the range of interaction, the localization power is enhanced and thus the sensitivity of the probe decreases. Second, as the interaction range becomes close to a fully connected graph its effective localization power disappears and thus the sensitivity of the probe starts to enhance again. The super-Heisenberg precision is achievable throughout the extended phase until the transition point and remains valid even when the state preparation time is incorporated in the resource analysis. As the probe enters the localized phase, the sensitivity decreases and its performance becomes size-independent, following a universal behavior. In addition, our analysis shows that lower filling factors lead to better precision for measuring weak gradient fields.

Key words: quantum information, quantum statistical mechanics, quantum phase transitions

中图分类号: (Quantum information)

03.67.-a

05.30.-d (Quantum statistical mechanics) 05.30.Rt (Quantum phase transitions)

Rozhin Yousefjani, Xingjian He(何行健), and Abolfazl Bayat. Long-range interacting Stark many-body probes with super-Heisenberg precision[J]. 中国物理B, 2023, 32(10): 100313-100313.

Rozhin Yousefjani, Xingjian He(何行健), and Abolfazl Bayat. Long-range interacting Stark many-body probes with super-Heisenberg precision[J]. Chin. Phys. B, 2023, 32(10): 100313-100313.

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Long-range interacting Stark many-body probes with super-Heisenberg precision

Long-range interacting Stark many-body probes with super-Heisenberg precision

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