Time-Domain Interferometry with Laser-Cooled Atoms

Barrett, B.; Chan, I.; Mok, C.; Carew, A.; Yavin, Itay; Kumarakrishnan, A.; Cahn, S. B.; Sleator, Tycho

doi:10.1016/b978-0-12-385508-4.00003-6

Cited by 10 publications

(30 citation statements)

References 137 publications

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“…τ 3 (Ω eff ω q ) −1/2 ) the full-width at half-maximum (FWHM) of the fringe scales as 1/u 3 , as illustrated in Fig. 2(c) [54,56,101].…”

Section: Description Of the Modified Three-pulse Aimentioning

confidence: 99%

“…The grating-echo AI is a single-state Talbot-Lau interferometer [72][73][74], the principles of which can be understood on the basis of a plane-wave description of the two-pulse scheme shown in Fig. 1(b) [32,54,55,[75][76][77]. This AI relies on matter-wave interference produced by Kapitza-Dirac scattering of atoms by short, off-resonant standing wave (SW) pulses.…”

Section: Description Of Grating-echo-type Interferometersmentioning

confidence: 99%

“…Echo AI experiments that have demonstrated sensitivity to this gravitational phase shift are described in Refs. [30,54,55,58,87].…”

Section: Description Of Grating-echo-type Interferometersmentioning

confidence: 99%

“…Despite the well-developed nature of Raman AIs, a number of alternate interferometer configurations have been developed [49][50][51][52][53], particularly for measurements of gravity. In this article, we report on recent developments and techniques for precision measurements using a unique, single-state echo interferometer [54,55]. This AI requires only a single excitation frequency, and does not require velocity selection.…”

Section: Introductionmentioning

confidence: 99%

“…We have developed a "modified" three-pulse echo AI 2 which exhibits increased sensitivity to atomic recoil compared to the aforementioned two-pulse configuration [57]. This modified geometry has been described in previous work using the formalism of coherence functions [100] and a full quantum-mechanical treatment that accurately describes the fringe shape [54,56,101]. In the same articles, we also discussed connections to δ-kicked rotors and quantum chaos, as well as scaling laws that apply to excitation with multiple SW pulses that have been used in other work [102,103].…”

Section: Introductionmentioning

confidence: 99%

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Prospects for Precise Measurements with Echo Atom Interferometry

Barrett

Carew

Beica

et al. 2016

Atoms

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Echo atom interferometers have emerged as interesting alternatives to Raman interferometers for the realization of precise measurements of the gravitational acceleration g and the determination of the atomic fine structure through measurements of the atomic recoil frequency ω q . Here we review the development of different configurations of echo interferometers that are best suited to achieve these goals. We describe experiments that utilize near-resonant excitation of laser-cooled rubidium atoms by a sequence of standing wave pulses to measure ω q with a statistical uncertainty of 37 parts per billion (ppb) on a time scale of ∼50 ms and g with a statistical precision of 75 ppb. Related coherent transient techniques that have achieved the most statistically precise measurements of atomic g-factor ratios are also outlined. We discuss the reduction of prominent systematic effects in these experiments using off-resonant excitation by low-cost, high-power lasers.

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“…τ 3 (Ω eff ω q ) −1/2 ) the full-width at half-maximum (FWHM) of the fringe scales as 1/u 3 , as illustrated in Fig. 2(c) [54,56,101].…”

Section: Description Of the Modified Three-pulse Aimentioning

confidence: 99%

Section: Description Of Grating-echo-type Interferometersmentioning

confidence: 99%

“…Echo AI experiments that have demonstrated sensitivity to this gravitational phase shift are described in Refs. [30,54,55,58,87].…”

Section: Description Of Grating-echo-type Interferometersmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Prospects for Precise Measurements with Echo Atom Interferometry

Barrett

Carew

Beica

et al. 2016

Atoms

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Generalized Bloch states of a two-level atom in the field of counterpropagating waves: application to the Kapitza–Dirac diffraction problem

Muradyan

2015

Phys. Scr.

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The Bloch-state approach to atomic translational states is extended out of adiabatic following and Raman-Nath approximations, taking into account the possible transfer of population from the initially populated internal energy level. The presented theory suggests a notion of potential energy corresponding to the initially populated internal state, and makes a generalization in the treatment of energy spectrum band-gap structure. Applying the theory to off-resonant Kapitza-Dirac diffraction and two-pulse standing wave atom interferometer (for the study of noncoherent processes in the cold atomic gases) we discuss the ability of the present approach for large-angle split multipath atom interferometry.

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Atom-interferometric techniques for measuring uniform magnetic field gradients and gravitational acceleration

2011

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We discuss techniques for probing the effects of a constant force acting on cold atoms using two configurations of a grating echo-type atom interferometer. Laser-cooled samples of 85 Rb with temperatures as low as 2.4 µK have been achieved in a new experimental apparatus with a wellcontrolled magnetic environment. We demonstrate interferometer signal lifetimes approaching the transit time limit in this system (∼ 270 ms), which is comparable to the timescale achieved by Raman interferometers. Using these long timescales, we experimentally investigate the influence of a homogeneous magnetic field gradient using two-and three-pulse interferometers, which enable us to sense changes in externally applied magnetic field gradients as small as ∼ 4 × 10 −5 G/cm. We also provide an improved theoretical description of signals generated by both interferometer configurations that accurately models experimental results. With this theory, absolute measurements of B-gradients at the level of 3 × 10 −4 G/cm are achieved. Finally, we contrast the suitability of the two-and three-pulse interferometers for precision measurements of the gravitational acceleration, g.

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Time-Domain Interferometry with Laser-Cooled Atoms

Cited by 10 publications

References 137 publications

Prospects for Precise Measurements with Echo Atom Interferometry

Prospects for Precise Measurements with Echo Atom Interferometry

Generalized Bloch states of a two-level atom in the field of counterpropagating waves: application to the Kapitza–Dirac diffraction problem

Atom-interferometric techniques for measuring uniform magnetic field gradients and gravitational acceleration

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