Quantum Metrology With Cold Atoms

Huang, Jiahao; Wu, Shuyuan; Zhong, Honghua; Lee, Chaohong

doi:10.1142/9789814590174_0007

Cited by 37 publications

(34 citation statements)

References 244 publications

(318 reference statements)

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“…Further quantum simulation experimental studies can be executed on a quadrupolar NMR system, such as a kicked-top model [54] which is usually viewed as a quantum chaotic system. The quadrupolar NMR system may also be a good candidate for implementing quantum metrology [55][56][57]. By making use of the nonlinear quadrupolar interaction I z 2 and the multi-level characteristics, we can prepare the well-known spin squeezing states [58] and NOON states [59] that are widely used in metrology to achieve a precision that exceeds the classical measurement.…”

Section: Discussionmentioning

confidence: 99%

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Nie

Cui

et al. 2015

New J. Phys.

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The Bose-Hubbard model provides an excellent platform for exploring exotic quantum coherence. Interaction blockade is an important fundamental phenomenon in the two-site Bose-Hubbard system (BHS), which gives a full quantum description for the atomic Bose-Josephson junction. Using the analogy between the two-site BHS and the quadrupolar nuclear magnetic resonance (NMR) crystal, we experimentally simulate a two-site Bose-Hubbard system in a NMR quantum simulator composed of the quadrupolar spin-3/2 sodium nuclei of a NaNO 3 single crystal, and observe the interesting phenomenon of interaction blockade via adiabatic dynamics control. To our best knowledge, this is the first experimental implementation of the quantum simulation of the interaction blockade using quadrupolar nuclear system. Our work exhibits important applications of quadrupolar NMR in the quantum information science, i.e. a spin-3/2 system can be used as a full 2-qubit su(4) system, if the quadrupole moment is not fully averaged out by fast tumbling in the liquid phase.

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Section: Discussionmentioning

confidence: 99%

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Nie

Cui

et al. 2015

New J. Phys.

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“…Precision metrology and parameter estimation are of great importance in both fundamental sciences and practical technologies [1][2][3][4][5]. Quantum metrology has opened up a new frontier of high-precision parameter estimation by using quantum strategies rather than classical ones [6][7][8][9][10]. The two-mode quantum interferometry had been widely used for single-parameter estimation [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Multiparameter estimation via an ensemble of spinor atoms

2018

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Multiparameter estimation, which aims to simultaneously determine multiple parameters in the same measurement procedure, attracts extensive interests in measurement science and technologies. Here, we propose a multimode many-body quantum interferometry for simultaneously estimating linear and quadratic Zeeman coefficients via an ensemble of spinor atoms. Different from the scheme with individual atoms, by using an N -atom multimode GHZ state, the measurement precisions of the two parameters can simultaneously attain the Heisenberg limit, and they respectively depend on the hyperfine spin number F in the form of ∆p ∝ 1/(F N ) and ∆q ∝ 1/(F 2 N ). Moreover, the simultaneous estimation can provide better precision than the individual estimation. Further, by taking a three-mode interferometry with Bose condensed spin-1 atoms for an example, we show how to perform the simultaneous estimation of p and q. Our scheme provides a novel paradigm for implementing multiparameter estimation with multimode quantum correlated states. * states are proposed for simultaneously estimating the linear and nonlinear phase shifts [41].

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“…On the other hand, it is well known that quantum multi-particle entanglement can offer a significant enhancement of measurement precision over individual particles [40][41][42][43]. For N individual particles, according to the central limit theorem, the measurement precision only scales as the standard quantum limit (SQL), i.e., * Email: hjiahao@mail2.sysu.edu.cn, eqjiahao@gmail.com † Email: lichaoh2@mail.sysu.edu.cn, chleecn@gmail.com ∝ 1/ √ N .…”

Section: Introductionmentioning

confidence: 99%

Simultaneous Measurement of dc and ac Magnetic Fields at the Heisenberg Limit

2020

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High-precision magnetic field measurement is an ubiquitous issue in physics and a critical task in metrology. Generally, magnetic field has DC and AC components and it is hard to extract both DC and AC components simultaneously. The conventional Ramsey interferometry can easily measure DC magnetic fields, while it becomes invalid for AC magnetic fields since the accumulated phases may average to zero. Here, we propose a scheme for simultaneous measurement of DC and AC magnetic fields by combining Ramsey interferometry and rapid periodic pulses. In our scheme, the interrogation stage is divided into two signal accumulation processes linked by a unitary operation. In the first process, only DC component contributes to the accumulated phase. In the second process, by applying multiple rapid periodic π pulses, only the AC component gives rise to the accumulated phase. By selecting suitable input state and the unitary operations in interrogation and readout stages, and the DC and AC components can be extracted by population measurements. In particular, if the input state is a GHZ state and two interaction-based operations are applied during the interferometry, the measurement precisions of DC and AC magnetic fields can approach the Heisenberg limit simultaneously. Our scheme provides a feasible way to achieve Heisenberglimited simultaneous measurement of DC and AC fields. J m=−J C m J 2 J [(−1) m + 1]|J, m − 1 √ 2 [cos(B 1 JT 1 ) sin(B 2 JT 2 /π) + i sin(B 1 JT 1 ) cos(B 2 JT 2 /π)] J m=−J C m J 2 J [(−1) m − 1]|J, m = 1 √ 2 {cos(B 1 JT 1 )[cos(B 2 JT 2 /π) − sin(B 2 JT 2 /π)] − i sin(B 1 JT 1 )[cos(B 2 JT 2 /π) + sin(B 2 JT 2 /π)]} J m=−J C m J 2 J (−1) m |J, m + 1 √ 2 {cos(B 1 JT 1 )[cos(B 2 JT 2 /π) + sin(B 2 JT 2 /π)] + i sin(B 1 JT 1 )[cos(B 2 JT 2 /π) − sin(B 2 JT 2 /π)]} J m=−J C m J 2 J |J, m .

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Quantum Metrology With Cold Atoms

Cited by 37 publications

References 244 publications

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Quantum simulation of interaction blockade in a two-site Bose–Hubbard system with solid quadrupolar crystal

Multiparameter estimation via an ensemble of spinor atoms

Simultaneous Measurement of dc and ac Magnetic Fields at the Heisenberg Limit

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