A New Limit on Lorentz- And CPT-Violating Neutron Spin Interactions

Brown, Justin M.; Smullin, Sylvia; Kornack, T. W.; Romalis, M. V.

doi:10.1142/9789814327688_0016

Cited by 69 publications

(149 citation statements)

References 27 publications

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“…The nonperiodic terms of the triple-cross-product's integral δφ hA + δφ hB and δφ hB are presented in (13) to (20). Under the condition of (9), we have…”

Section: The Error Of the Triple-cross-product Term In Angular Dymentioning

confidence: 99%

“…Because the H 1 ( T ) and H 2 ( T ) are the same under the three maneuver environments above, which can be seen from (13) to (20), we only use one special maneuver environment, i.e., (9), to establish the coefficient equations under the condition of coning motion with constant angular-rate precession.…”

Section: A Coefficient Equations Under the Condition Of Coning Motiomentioning

confidence: 99%

“…Meanwhile, atomic spin gyroscope (ASG) is a sensor demonstrated over the past few years that has been used for high-precision rotation measurements. Such a high-precision sensor benefits from its theoretically high sensitivity [13,14]. The bias stability of atomic gyroscopes in the future can be better than 10 −6 deg/h.…”

Section: Introductionmentioning

confidence: 99%

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High-order attitude compensation in coning and rotation coexisting environment

Wang

et al. 2015

IEEE Trans. Aerosp. Electron. Syst.

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With the development of high-accuracy inertial navigation system inertial sensors, such as ring laser gyroscopes and atomic spin gyroscopes, it is increasingly important to improve the strapdown inertial navigation algorithms to match such high-accuracy inertial sensors. For example, the existing inertial navigation algorithms have not taken into account the triple-cross-product term of noncommutativity error. However, theoretical analysis demonstrates that the ignored triple-cross-product term is nonignorable under coning motion with constant angular rate precession environments. In this paper, a new high-accuracy rotation vector algorithm is proposed for strapdown inertial navigation. The Taylor series about time is used for error analysis and optimization of the new algorithm. General maneuvers and coning motion with constant angular rate precession environments are considered in establishing the coefficient equations in the proposed algorithm. Error drift equations are given after the error compensation. Normalized quaternion under coning motion with constant angular rate precession environments and Savage's severe integrated angular-rate profiles are used to numerically verify the new algorithm. The results Manuscriptindicate that the new high-order attitude updating algorithm can improve inertial navigation accuracy.NOMENCLATURE δφ c (t) = coning integral over the time interval from t m−1 to t δφ hA (t) = the integral of the triple-cross product noncommutativity rate vector over the time interval from t m−1 to t related to the coning motion, which is called the triple-cross-product term part A δφ hB (t) = the integral of the triple-cross-product noncommutativity rate vector over the time interval from t m−1 to t related to the high dynamic motion, which is called the triple-cross-product term part B δφ hA (t) = algorithms for the triple-cross-product term part A δφ hB (t) = algorithms for the triple-cross-product term part B δφ hA = nonperiodic vector of the triple-cross-product term part A in one updating cycle δφ hB = nonperiodic vector of the triple-cross-product term part B in one updating cycle δφ hA = nonperiodic vector of the triple-cross-product term part A algorithms δφ hB = nonperiodic vector of the triple-cross-product term part B algorithms α N+1−i (t) = gyro data samples spaced backward in time from time t α N+1−j (t) α N+1−k (t) ς ij = coefficients of uncompressed frequency series coning algorithms and triple-cross-product term part A's algorithms η (N+i−1) = coefficients of triple-cross-product term part B's algorithms (N+j −1) (N+k−1) a, b = coning motion amplitude c = coefficient of constant angular-rate precession = coning frequency T 0 = sampling period T = attitude updating cycle N = total number of samples used in one attitude updating cycle 1178 IEEE TRANSACTIONS ON AEROSPACE AND ELECTRONIC SYSTEMS VOL. 51, NO. 2 APRIL 2015 n = number of samples in the current iteration time interval m = computer interval index, where the subscript indicates parameter value at computer cycle m o () = a...

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“…The nonperiodic terms of the triple-cross-product's integral δφ hA + δφ hB and δφ hB are presented in (13) to (20). Under the condition of (9), we have…”

Section: The Error Of the Triple-cross-product Term In Angular Dymentioning

confidence: 99%

Section: A Coefficient Equations Under the Condition Of Coning Motiomentioning

confidence: 99%

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High-order attitude compensation in coning and rotation coexisting environment

Wang

et al. 2015

IEEE Trans. Aerosp. Electron. Syst.

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“…In SERF atomic magnetometer, external magnetic field is obtained through detecting the orientation of the alkali polarization [9,10]. The technique of measuring optical rotation angle of a linearly polarized probe beam was commonly used [11]. In the sensitive SERF atomic magnetometer, extreme small optical rotation angles need to be detected [12].…”

Section: Introductionmentioning

confidence: 99%

“…In the sensitive SERF atomic magnetometer, extreme small optical rotation angles need to be detected [12]. Among various methods for detecting the rotation angle [11], the polarization modulation technique based on a photoelastic modulator (PEM) has the highest sensitivity and accuracy owing to the PEM s unique optical properties, such as high modulation purity and efficiency, high power handing capability, large acceptance angle, large useful aperture and good retardation stability [13][14][15]. In SERF atomic magnetometer, the detection of optical rotation angle based on the PEM polarization modulation is preferred because it features lower noise especially at low frequency range and better stability at long-time scales [11].…”

Section: Introductionmentioning

confidence: 99%

Light intensity stabilization based on the second harmonic of the photoelastic modulator detection in the atomic magnetometer

Duan

Fang

et al. 2015

Opt. Express

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The fluctuations of the probe light intensity seriously affect the performance of the sensitive atomic magnetometer. Here we propose a novel method for the intensity stabilization based on the second harmonic component of the photoelastic modulator (PEM) detection in the atomic magnetometer. The method not only could be used to eliminate the intensity fluctuations of the laser source, but also remove the fluctuations from the optical components caused by the environment. A relative fluctuation of the light intensity of 0.035% was achieved and the corresponding fluctuation of the output signal of the atomic magnetometer has decreased about two orders of magnitude from 4.06% to 0.041%. As the scheme proposed here only contains optical devices and does not require additional feedback controlled equipments, it is especially suitable for the integration of the atomic magnetometer.

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Spin‐Decoupling and In‐Situ Nuclear Magnetometer with Hyperpolarized Nuclear Spin

et al. 2023

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This paper investigates the dynamical properties of the spin‐coupling ensemble, with a focus on the spin‐decoupling phenomenon. The nuclear spin in such systems is significantly impacted by the electron spin when the main magnetic field approaches the Fermi contact field of nuclear spin, leading to measurement inaccuracies. A comprehensive dynamics model of the electron‐nuclear spin coupling ensemble has been established and analyzed. It proposes that the primary magnetic field augmenting effectively disentangles the precession frequency of the two spin‐coupling species, thereby yielding a spin‐decoupled state. Such a state allows nuclear spin serves as a high sensitive element for magnetic field measurements, while electron spin serves as a probe to acquire the precession of nuclear spin. With proposed method, a magnetic field resolution of 0.75 nT in a 12000 nT environment is achieved, indicating potential for magnetic field detection in geomagnetic environments. It further demonstrates measurements of electron spin Fermi contact interaction and polarization based on spin‐decoupling and in situ nuclear spin precession, results indicate measurement errors close to 1%. These results demonstrate the effectiveness of our approach in improving the accuracy and sensitivity of magnetic field measurements in spin‐coupled systems such as co‐magnetometers, nuclear magnetic resonance gyroscopes, and nuclear magnetometers.

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A New Limit on Lorentz- And CPT-Violating Neutron Spin Interactions

Cited by 69 publications

References 27 publications

High-order attitude compensation in coning and rotation coexisting environment

High-order attitude compensation in coning and rotation coexisting environment

Light intensity stabilization based on the second harmonic of the photoelastic modulator detection in the atomic magnetometer

Spin‐Decoupling and In‐Situ Nuclear Magnetometer with Hyperpolarized Nuclear Spin

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