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Chin. Phys. B, 2023, Vol. 32(10): 100313    DOI: 10.1088/1674-1056/acf302
Special Issue: SPECIAL TOPIC — Fabrication and manipulation of the second-generation quantum systems
SPECIAL TOPIC—Fabrication and manipulation of the second-generation quantum systems Prev   Next  

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
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.
Keywords:  quantum information      quantum statistical mechanics      quantum phase transitions  
Received:  09 July 2023      Revised:  15 August 2023      Accepted manuscript online:  23 August 2023
PACS:  03.67.-a (Quantum information)  
  05.30.-d (Quantum statistical mechanics)  
  05.30.Rt (Quantum phase transitions)  
Fund: 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).
Corresponding Authors:  Rozhin Yousefjani, Abolfazl Bayat     E-mail:;

Cite this article: 

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

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