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We develop a general theory to estimate magnetic field gradients in quantum metrology. We consider a system of $N$ particles distributed on a line whose internal degrees of freedom interact with a magnetic field. Usually gradient estimation…

Quantum Physics · Physics 2017-10-30 Sanah Altenburg , Michał Oszmaniec , Sabine Wölk , Otfried Gühne

We study magnetometry of gradients and homogeneous background fields along the three orthogonal directions using two spatially separated spin ensembles. We derive trade-off relations for the achievable estimation precision of these…

Quantum Physics · Physics 2026-01-27 Iagoba Apellaniz , Manuel Gessner , Géza Tóth

We present a method for measuring magnetic field gradients with macroscopic singlet states realized with ensembles of spin-j particles. While the singlet state is completely insensitive to homogeneous magnetic fields, the variance of its…

Quantum Physics · Physics 2015-01-27 Inigo Urizar-Lanz , Philipp Hyllus , Inigo L. Egusquiza , Morgan W. Mitchell , Geza Toth

We propose a method to detect the microwave magnetic-field gradient by using a pair of entangled two-component Bose-Einstein condensates. We consider the two spatially separated condensates to be coupled to the two different magnetic…

Quantum Physics · Physics 2013-04-17 H. T. Ng

A Bose-Einstein condensate is used as an atomic source for a high precision sensor. A $5\times 10^6$ atom F=1 spinor condensate of $^{87}$Rb is released into free fall for up to $750$ms and probed with a Mach-Zehnder atom interferometer…

We propose a quantum fitting scheme to estimate the magnetic field gradient with $N$-atom spins preparing in W state, which attains the Heisenberg-scaling accuracy. Our scheme combines the quantum multi-parameter estimation and the least…

Quantum Physics · Physics 2014-12-30 Yong-Liang Zhang , Huan Wang , Li Jing , Liang-Zhu Mu , Heng Fan

Gravity gradiometry with Bose-Einstein condensates (BECs) has reached unprecedented precisions. The basis of this technique is the measurement of differential forces by interference of single-atom wave functions. In this article, we propose…

Quantum Physics · Physics 2020-04-22 Tupac Bravo , Dennis Rätzel , Ivette Fuentes

Atomic comagnetometers are used in searches for anomalous spin-dependent interactions. Magnetic field gradients are one of the major sources of systematic errors in such experiments. Here we describe a comagnetometer based on the nuclear…

Atomic Physics · Physics 2018-07-18 Teng Wu , John W. Blanchard , Derek F. Jackson Kimball , Min Jiang , Dmitry Budker

An atom interferometer using a Bose-Einstein condensate of $^{87}$Rb atoms is utilized for the measurement of magnetic field gradients. Composite optical pulses are used to construct a spatially symmetric Mach-Zehnder geometry. Using a…

We address metrological protocols for the estimation of the intensity and the orientation of a magnetic field, and show that quantum-enhanced precision may be achieved by probing the field with an arbitrary spin at thermal equilibrium. We…

Quantum Physics · Physics 2018-07-04 Filippo Troiani , Matteo G. A. Paris

We show that far field diffraction image of spontaneously scattered Stokes photons can be used for detection of spin entanglement and for metrology of fields gradients in cold atomic ensembles. For many-body states with small or maximum…

Quantum Physics · Physics 2013-04-04 Hongyi Yu , Wang Yao

We combine the Ramsey interferometry protocol, the Stern-Gerlach detection scheme, and the use of elongated geometry of a cloud of fully polarized cold cesium atoms to measure the selected component of the magnetic field gradient along the…

Accurately measuring magnetic fields is essential for magnetic-field sensitive experiments in fields like atomic, molecular, and optical physics, condensed matter experiments, and other areas. However, since many experiments are conducted…

Instrumentation and Detectors · Physics 2023-05-31 Ziting Chen , Kin To Wong , Bojeong Seo , Mingchen Huang , Mithilesh K. Parit , Haoting Zhen , Jensen Li , Gyu-Boong Jo

We study the precision limits of detecting a linear magnetic-field gradient by using W-states in the presence of different types of noises. We consider to use an atomic spin chain for probing the magnetic-field gradient, where a W-state is…

Quantum Physics · Physics 2015-06-17 H. T. Ng , K. Kim

Precise thermometry for quantum systems is important to the development of new technology, and understanding the ultimate limits to precision presents a fundamental challenge. It is well known that optimal thermometry requires projective…

Efficient detection of magnetic fields is central to many areas of research and has important practical applications ranging from materials science to geomagnetism. High sensitivity detectors are commonly built using direct…

Mesoscale and Nanoscale Physics · Physics 2013-01-07 Mustafa Bal , Chunqing Deng , Jean-Luc Orgiazzi , Florian Ong , Adrian Lupascu

Precision measurements of gravitational acceleration, or gravimetry, enable the testing of physical theories and find numerous applications in geodesy and space exploration. By harnessing quantum effects, high-precision sensors can achieve…

Quantum Physics · Physics 2025-01-31 Victor Montenegro

We report a metrology scheme which measures magnetic susceptibility of an atomic spin ensemble along the $x$ and $z$ direction and produces parameter estimation with precision beating the standard quantum limit. The atomic ensemble is…

Quantum Physics · Physics 2023-02-14 Zheng-An Wang , Yi Peng , Dapeng Yu , Heng Fan

Magnetic gradiometers have wide practical and academic applications, and two important types of field gradient observables are the total field gradient and field gradient tensor. However, measurements of the field gradient tensor have not…

Atomic Physics · Physics 2023-04-26 Qianqian Yu , Siqi Liu , Xueke Wang , Dong Sheng

Precision sensing, and in particular high precision magnetometry, is a central goal of research into quantum technologies. For magnetometers, often trade-offs exist between sensitivity, spatial resolution, and frequency range. The…

Quantum Physics · Physics 2016-06-22 I. Baumgart , J. -M. Cai , A. Retzker , M. B. Plenio , Ch. Wunderlich
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