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 quan...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.展开更多
基金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)+1 种基金the Ministry of Science and Technology of China(Grant No.QNJ2021167001L)the National Science Foundation of China for the International Young Scientists Fund(Grant No.12250410242)。
文摘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.
