Systematic effects in two-dimensional trapped matter-wave interferometers

West, Adam

doi:10.1103/physreva.100.063622

Cited by 8 publications

(6 citation statements)

References 38 publications

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“…The analysis described here is similar to that by West in Ref. [15]. However, in that work only a single interferometer was considered.…”

Section: Introductionmentioning

confidence: 80%

“…However, in that work only a single interferometer was considered. By design, many errors cancel in the dual-interferometer scheme of [14], making our approach mainly sensitive to higherorder effects that were not comprehensively addressed in [15]. In addition, our numerical analysis considers a wider variety of perturbative parameters, including ones that couple all three dimensions.…”

Section: Introductionmentioning

confidence: 99%

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Semiclassical Phase Analysis for a Trapped-Atom Sagnac Interferometer

Luo

Moan

Sackett

2021

Atoms

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A Sagnac atom interferometer can be constructed using a Bose–Einstein condensate trapped in a cylindrically symmetric harmonic potential. Using the Bragg interaction with a set of laser beams, the atoms can be launched into circular orbits, with two counterpropagating interferometers allowing many sources of common-mode noise to be excluded. In a perfectly symmetric and harmonic potential, the interferometer output would depend only on the rotation rate of the apparatus. However, deviations from the ideal case can lead to spurious phase shifts. These phase shifts have been theoretically analyzed for anharmonic perturbations up to quartic in the confining potential, as well as angular deviations of the laser beams, timing deviations of the laser pulses, and motional excitations of the initial condensate. Analytical and numerical results show the leading effects of the perturbations to be second order. The scaling of the phase shifts with the number of orbits and the trap axial frequency ratio are determined. The results indicate that sensitive parameters should be controlled at the 10−5 level to accommodate a rotation sensing accuracy of 10−9 rad/s. The leading-order perturbations are suppressed in the case of perfect cylindrical symmetry, even in the presence of anharmonicity and other errors. An experimental measurement of one of the perturbation terms is presented.

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“…The analysis described here is similar to that by West in Ref. [15]. However, in that work only a single interferometer was considered.…”

Section: Introductionmentioning

confidence: 80%

Section: Introductionmentioning

confidence: 99%

Semiclassical Phase Analysis for a Trapped-Atom Sagnac Interferometer

Luo

Moan

Sackett

2021

Atoms

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“…该相位可由最后一步π/2型Ramsey干涉后读取自旋上态的概率而测得. 终态中自旋上态概率理论值为 2019年, West [48] 在一个专门用于旋转传感的离子阱系统物质波干涉仪中研究了这些系统效应, 发现对势阱的良好控制可以使干涉仪不受实验缺陷的影响. 同年, Urban等人 [49] 示范了在圆对称势下双离子库仑晶体量子转子的相干控制.…”

Section: 根据Sagnac效应的基本原理激光干涉仪或物质波干涉仪累积的Sagnac相位可以表示为unclassified

Precision measurement with trapped ions

Ding

Zhang

Zhu

et al. 2021

Sci. Sin.-Phys. Mech. Astron.

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Measuring physical quantities with unprecedented precision is one of the most important paradigms to extend our fundamental understanding of nature. With the development of new quantum techniques, quantum systems have become a promising platform along the path to pursue higher accuracy and stability of measurement, while the classical methods are approaching their own limitation. Owing to its high stability, long coherence time and good controllability of quantum states, the trapped ion system has attracted much attention as a promising platform for quantum metrology. Recent progress on quantum control of trapped ions in both the scientific and technological aspects greatly advance the potential applications in precision measurement of various physical quantities. The invention of optical comb with ultra-stable laser brings us a new approach to develop a clock working on optical frequency, and features a much higher precision than microwave. This achievement has the potential reform the definition of the basic unit of the international system of units in the near future. New methods of dynamic decoupling or preparing special dressed states significantly extend the coherence time, such that an ultra-sensitive detection of magnetic field can be achieved. By introducing a spin-dependent kick in the phase space, one may also realize rotation measurement with trapped ions and obtain high accuracy with a chip-size apparatus. In this short review, we introduce the principles and designs of optical clock, magnetometer and gyroscope based on trapped ion systems. Owing to its unique features, this platform presents many advantages which can help improving sensitivity and stability, as well as building transportable devices.

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“…In 2019, A. West [198] examined these systematic effects 093203-15 in a trapped ion-based matter-wave interferometer for rotation sensing in particular, and found that good control of the trapping potential can make interferometer insensitive to experimental imperfections. In the same year, E. Urban et al [199] demonstrated coherent control of quantum rotor of two-ion Coulomb crystal in a circularly symmetric potential.…”

Section: Ion-based Interferometermentioning

confidence: 99%

Precision measurements with cold atoms and trapped ions*

et al. 2020

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Recent progresses on quantum control of cold atoms and trapped ions in both the scientific and technological aspects greatly advance the applications in precision measurement. Thanks to the exceptional controllability and versatility of these massive quantum systems, unprecedented sensitivity has been achieved in clocks, magnetometers, and interferometers based on cold atoms and ions. Besides, these systems also feature many characteristics that can be employed to facilitate the applications in different scenarios. In this review, we briefly introduce the principles of optical clocks, cold atom magnetometers, and atom interferometers used for precision measurement of time, magnetic field, and inertial forces. The main content is then devoted to summarize some recent experimental and theoretical progresses in these three applications, with special attention being paid to the new designs and possibilities towards better performance. The purpose of this review is by no means to give a complete overview of all important works in this fast developing field, but to draw a rough sketch about the frontiers and show the fascinating future lying ahead.

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Systematic effects in two-dimensional trapped matter-wave interferometers

Cited by 8 publications

References 38 publications

Semiclassical Phase Analysis for a Trapped-Atom Sagnac Interferometer

Semiclassical Phase Analysis for a Trapped-Atom Sagnac Interferometer

Precision measurement with trapped ions

Precision measurements with cold atoms and trapped ions*

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