Atomic interferences and the topological phase

Miniatura, Christian; Robert, J.; Gorceix, O.; Lorent, V.; Boiteux, S. Le; Reinhardt, Joachim; Baudon, J.

doi:10.1103/physrevlett.69.261

Cited by 49 publications

(22 citation statements)

References 18 publications

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“…Furthermore, in 1992, Miniatura et al first demonstrated the atomic Berry's phase using a longitudinal Stern-Gerlach atomic interferometer [7]. In most studies, it was verified that Berry's phase is given by γ = −m (C), where m is the spin component along the magnetic field and (C) is the solid angle, not depending on the magnitude of the g factor.…”

Section: Introductionmentioning

confidence: 99%

Dependence of Berry's phase on the sign of thegfactor for conical rotation of a magnetic field, measured without any dynamical phase shift

et al. 2011

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Berry's phase for a whole turn in a conical rotation of the magnetic field with a semiangle θ has been clearly manifested free from the dynamical phase shift using the magnetic-field-insensitive two-photon transitions between sodium-ground hyperfine states having different signs of the g factors. The solid angles for states with a positive g factor and with a negative g factor are verified to be 2π (1 − cos θ) and −2π (1 + cos θ), respectively, for a right-handed rotation of a magnetic field and a semiangle of 0 θ π/2.

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Section: Introductionmentioning

confidence: 99%

Dependence of Berry's phase on the sign of thegfactor for conical rotation of a magnetic field, measured without any dynamical phase shift

et al. 2011

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“…We shall use this duration to determine the figure of merit of a Stern-Gerlach device enhanced by the STA technique. Using typical experimental parameters for Stern-Gerlach atom interferometry with hydrogen fragments [4], we consider atomic velocities v ∼ 10 km/s, a gyromagnetic ratio γ µ b /h and a magnetic field B 0 = 0.1 G. a Larmor time ν L = 0.14 MHz. The corresponding Larmor time T L 7 µs then yields the minimum length of a few L 7 cm for an efficient spin transfer in a Stern-Gerlach device with an helicoidal magnetic field.…”

Section: Efficiency Of a Stern-gerlach Device With An Helicoidal mentioning

confidence: 99%

“…In particular, this device has been used successfully in the first observation of a geometric phase [3] in atom interferometry [4]. This system entangles the external atomic motion with the total angular atomic momentum, and produces a spatial separation between atomic wave-packets corresponding to different angular momenta.…”

Section: Introductionmentioning

confidence: 99%

Shortcut to adiabaticity in a Stern-Gerlach apparatus

Impens

Guéry-Odelin

2017

Phys. Rev. A

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We show that the performances of a Stern-Gerlach apparatus can be improved by using a magnetic field profile for the atomic spin evolution designed through shortcut to adiabaticity technique. Interestingly, it can be made more compact -for atomic beams propagating at a given velocityand more resilient to a dispersion in velocity, in comparison with the results obtained with a standard uniform rotation of the magnetic field. Our results are obtained using a reverse engineering approach based on Lewis-Riesenfeld invariants. We discuss quantitatively the advantages offered by our configuration in terms of the resources involved and show that it drastically enhances the fidelity of the quantum state transfer achieved by the Stern-Gerlach device.

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“…A standard Stern-Gerlach atom interferometer [8], also called some years later "spin-echo experiment," in analogy to the well-known method of neutron spin-echo [15,16], is a longitudinal polarisation interferometer in which an integrable static magnetic field profile B(x), that is, a Mdependent magnetic potential W(x) = gμ B MB(x), induces upon a planar wave (of momentum k) describing the external motion along x, a phase shift of the form Mφ. In the following semiclassical approximation:…”

Section: Negative-index Medium In a Stern-gerlach Atom Interferometermentioning

confidence: 99%

“…The direct observation of this negative refraction on atomic trajectories implies a low velocity and/or a sufficiently high magnitude V 0 , that is, in the case of a magnetic potential, a sufficiently intense magnetic field (typically a few hundreds Gauss at a velocity of a few ms −1 . An atom interferometer as a Stern-Gerlach interferometer [8] is a much more sensitive tool to evidence the effect, in so far as it transforms a phase shift into a variation of intensity (part 3).…”

Section: Introductionmentioning

confidence: 99%