Precision Feshbach spectroscopy of ultracold<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi mathvariant="normal">Cs</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:math>

Chin, Cheng; Vuletić, Vladan; Kerman, Andrew J.; Chu, Steven; Tiesinga, Eite; Leo, Paul; Williams, Carl J.

doi:10.1103/physreva.70.032701

Cited by 150 publications

(222 citation statements)

References 43 publications

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“…Our present method proves particularly powerful for the scattering length near the two narrow resonances. Here the previous calculations [17] suffer from the large uncertainties of the positions of the resonances, which can even exceed their widths. Fig.…”

Section: B Determination Of the Scattering Lengthmentioning

confidence: 99%

“…We demonstrate our model on Cs 2 Feshbach molecules. Cesium is an excellent candidate to test scattering models because of its rich interaction properties [17,19]. From fitting the binding energy data, we show that the magnetic-field dependent scattering length can be determined with high precision.…”

Section: Introductionmentioning

confidence: 99%

“…The latter two states are connected to the d-wave and g-wave Feshbach resonances located at about 48 G and 53.5 G, respectively [17]. The molecular spectroscopy is performed by using a weak oscillating magnetic field.…”

Section: Binding Energy Measurements and Determination Of The Scmentioning

confidence: 99%

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Determination of atomic scattering lengths from measurements of molecular binding energies near Feshbach resonances

et al. 2009

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We present an analytic model to calculate the atomic scattering length near a Feshbach resonance from data on the molecular binding energy. Our approach considers finite-range square-well potentials and can be applied near broad, narrow, or even overlapping Feshbach resonances. We test our model on Cs2 Feshbach molecules. We measure the binding energy using magnetic-field modulation spectroscopy in a range where one broad and two narrow Feshbach resonances overlap. From the data we accurately determine the Cs atomic scattering length and the positions and widths of two particular resonances.

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Section: B Determination Of the Scattering Lengthmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Determination of atomic scattering lengths from measurements of molecular binding energies near Feshbach resonances

et al. 2009

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“…(6)] has no external potential, all its eigenfunctions are independent of the center-of-mass coordinate,…”

Section: Exact Results In Free Spacementioning

confidence: 99%

“…Recently, it has become possible to create condensates of atomic species with scattering lengths that can be tuned to be negative [3][4][5], for example, hyperfine levels of 85 Rb, 7 Li, and 133 Cs [6,7]. Chromium is also shown to have negatively tunable scattering lengths, but also has significant long-range dipole forces [8].…”

Section: Introductionmentioning

confidence: 99%

Quantum theory of bright matter-wave solitons in harmonic confinement

2012

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Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. This paper investigates bright quantum-matter-wave solitons beyond the Gross-Pitaevskii equation (GPE). As proposals for interferometry and creating nonlocal quantum superpositions have been formed, it has become necessary to investigate effects not present in mean-field models. We investigate the effect of harmonic confinement on the internal degrees of freedom, as the ratio of zero-point harmonic oscillator length to classical soliton length, for different numbers of atoms. We derive a first-order energy correction for the addition of a harmonic potential to the many-body wave function and use this to create a variational technique based on energy minimization of this wave function for an arbitrary number of atoms, and include numerics based on diagonalization of the Hamiltonian in a basis of harmonic oscillator Fock states. Finally we compare agreement between a Hartree product ground state and the Bethe ansatz solution with a Gaussian envelope localizing the center of mass and show a region of good agreement.

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Microchip‐Based Trapped‐Atom Clocks

2011

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Basic principlesA two-level quantum system in vacuum-in the absence of any perturbing fields-constitutes an ideal clock whose oscillation frequency ω = E/h is given by the energy difference E between the two levels |1 , |2 . In a single measurement of duration T performed on a single particle this frequency can be determined with an uncertainty ∆ω = 1/T. If the measurement is performed simultaneously on N independent identical particles, and this measurement is repeated with a cycle time T c > T for a total averaging time τ > T c , the fundamental quantum uncertainty of the frequency determination is given by the standard quantum limit [1]The N −1/2 scaling arises because the quantities to be measured are the nonzero probabilities to find a particle in either of the clock states |1 , |2 : when the independent particles in the ensemble are read out, the observed populations of the two clock states are binomially distributed, leading to so-called projection noise on the estimation of those probabilities [2,3]. The √ T c /τ scaling arises because the sequential measurement repeated τ/T c times using N particles each is equivalent to a single measurement using Nτ/T c atoms. For a given total measurement time τ the stability improves as the duration T of the single measurement is increased. The latter is limited by the coherence time of the transition. While the absolute stability does not depend on the transition frequency ω, the fractional stability improves with higher transition frequency.

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Precision Feshbach spectroscopy of ultracoldCs2

Cited by 150 publications

References 43 publications

Determination of atomic scattering lengths from measurements of molecular binding energies near Feshbach resonances

Determination of atomic scattering lengths from measurements of molecular binding energies near Feshbach resonances

Quantum theory of bright matter-wave solitons in harmonic confinement

Microchip‐Based Trapped‐Atom Clocks

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