Stark Localization as a Resource for Weak-Field Sensing with Super-Heisenberg Precision

He, Xiao Cong; Yousefjani, Rozhin; Bayat, Abolfazl

doi:10.1103/physrevlett.131.010801

Cited by 4 publications

(5 citation statements)

References 106 publications

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“…By decreasing the filling factor n, the performance of the probe in the extended phase gets closer to the one at the transition point. This is in full agreement with our previous results obtained for the Stark probe with single particle [70] in which for the nearest-neighbor probe both cases yield the same β .…”

Section: Filling Factor Analysissupporting

confidence: 93%

“…These results are in line with our previous results in which the highest advance was obtained for a Stark probe with single excitation. [70] To characterize the impact of the filling factor on the scaling of the QFI with respect to L, similar to the scenario of the n = 1/2, we fit the obtained QFI for different probe size L with function ℱ Q ∝ L β (h,η) . The best fits result in reported β as a function of η in Figs.…”

Section: Filling Factor Analysismentioning

confidence: 99%

“…These quantum probes, which harness the interaction between particles, are naturally scalable and expected to be more robust against decoherence. In particular, various forms of phase transitions in such systems have been used for achieving quantum-enhanced sensitivity, including first-order, [36][37][38][39] second-order, [25,[40][41][42][43][44][45][46][47][48][49][50][51][52][53] Floquet, [54,55] dissipative, [56][57][58][59][60][61][62] time crystals, [63,64] topological, [65][66][67][68] many-body [69] and Stark localization [70] phase transitions. Other types of manybody probes profit from diverse measurement methods including adaptive, [71][72][73][74][75][76][77][78][79][80] continuous, …”

mentioning

confidence: 99%

“…In the latter, precise gravity measurement is essential for detection of gravitational waves, [100,101] investigating the equivalence principle, [102] obtaining the fine-structure [103] and measuring Newton's gravitational constant. [104] Recently, we have shown that Stark probes can be exploited for measuring weak gradient fields with super-Heisenberg precision, [70] in which the scaling exponent β can be as large as β ∼ = 6. This sensor relies on Stark localization transition which could even happen in the presence of an infinitesimal gradient field in single-and multi-particle quantum systems.…”

mentioning

confidence: 99%

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

Yousefjani,

He 何,

Bayat

2023

Chinese Phys. B

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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 superHeisenberg precision is always achievable in all ranges of interaction, the longrange interacting Stark probe reveals two distinct behaviors. First, by algebraically increasing the range of interaction, the localization power enhances 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.

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Section: Filling Factor Analysissupporting

confidence: 93%

Section: Filling Factor Analysismentioning

confidence: 99%

mentioning

confidence: 99%

mentioning

confidence: 99%

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

Yousefjani,

He 何,

Bayat

2023

Chinese Phys. B

Self Cite

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“…Bipartite entanglement [29][30][31][32][33], correlations, and coherence [34][35][36] of anisotropic spin chains with anti-symmetric exchange has been analyzed in some details, whereas the precise characterization of the Hamiltonian parameters has been addressed only by global schemes involving the measurement of observables on the entire chain [3][4][5][37][38][39]. Given the relevance of spin chains in quantum information processing [40,41], and the difficulties involved in implementing global observables, we explore here the characterization problem for partially accessible chains [42][43][44][45]. In other words, we consider the reduced density matrix of two neighboring spins [46][47][48][49][50], and investigate whether, and to which extent, information on the value of the chain parameters may be extracted by performing measurements only on those two spins.…”

Section: Introductionmentioning

confidence: 99%

Characterization of partially accessible anisotropic spin chains in the presence of anti-symmetric exchange

Cavazzoni,

Adani,

Bordone

et al. 2024

New J. Phys.

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We address quantum characterization of anisotropic spin chains in the presence of anti-symmetric exchange, and investigate whether the Hamiltonian parameters of the chain may be estimated with precision approaching the ultimate limit imposed by quantum mechanics. At variance with previous approaches, we focus on the information that may be extracted by measuring only two neighboring spins rather than a global observable on the entire chain. We evaluate the Fisher information (FI) of a two-spin magnetization measure, and the corresponding quantum Fisher information (QFI), for all the relevant parameters, i.e. the spin coupling, the anisotropy, and the Dzyaloshinskii–Moriya (DM) parameter. Our results show that the reduced system made of two neighboring spins may be indeed exploited as a probe to characterize global properties of the entire system. In particular, we find that the ratio between the FI and the QFI is close to unit for a large range of the coupling values. The DM coupling is beneficial for coupling estimation, since it leads to the presence of additional bumps and peaks in the FI and QFI, which are not present in a model that neglects exchange interaction and may be exploited to increase the robustness of the overall estimation procedure. Finally, we address the multiparameter estimation problem, and show that the model is compatible but sloppy, i.e. both the Uhlmann curvature and the determinant of the QFI matrix vanish. Physically, this means that the state of the system actually depends only on a reduced numbers of combinations of parameters, and not on all of them separately.

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Multiparameter critical quantum metrology with impurity probes

Mihailescu,

Bayat,

Campbell

et al. 2024

Quantum Sci. Technol.

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Quantum systems can be used as probes in the context of metrology for enhanced parameter estimation. In particular, the delicacy of critical systems to perturbations can make them ideal sensors. Arguably the simplest realistic probe system is a spin-1/2 impurity, which can be manipulated and measured in-situ when embedded in a fermionic environment. Although entanglement between a single impurity probe and its environment produces nontrivial many-body effects, criticality cannot be leveraged for sensing. Here we introduce instead the two-impurity Kondo (2IK) model as a novel paradigm for critical quantum metrology, and examine the multiparameter estimation scenario at finite temperature. We explore the full metrological phase diagram numerically and obtain exact analytic results near criticality. Enhanced sensitivity to the inter-impurity coupling driving a second-order phase transition is evidenced by diverging quantum Fisher information (QFI) and quantum signal-to-noise ratio (QSNR). However, with uncertainty in both coupling strength and temperature, the multiparameter QFI matrix becomes singular -- even though the parameters to be estimated are independent -- resulting in vanishing QSNRs. We demonstrate that by applying a known control field, the singularity can be removed and measurement sensitivity restored. For general systems, we show that the degradation in the QSNR due to uncertainties in another parameter is controlled by the degree of correlation between the unknown parameters.

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Stark Localization as a Resource for Weak-Field Sensing with Super-Heisenberg Precision

Cited by 4 publications

References 106 publications

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

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

Characterization of partially accessible anisotropic spin chains in the presence of anti-symmetric exchange

Multiparameter critical quantum metrology with impurity probes

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