Feshbach spectroscopy of an ultracold mixture of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>85</mml:mn></mml:msup></mml:math>Rb and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>133</mml:mn></mml:msup></mml:math>Cs

Cho, Hung-Wen; McCarron, Daniel; Köppinger, Michael P.; Jenkin, D. L.; Butler, K.; Julienne, Paul S.; Blackley, Caroline L.; Sueur, C.; Hutson, Jeremy M.; Cornish, Simon L.

doi:10.1103/physreva.87.010703

Cited by 30 publications

(38 citation statements)

References 29 publications

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“…Ultracold spinor [1][2][3][4][5][6][7][8][9][10] and multi-component [11][12][13][14][15][16][17][18] Bose gases have been experimentally studied in regimes where an understanding of dissipative and thermal dynamics is necessary. For example: (i) The relaxation dynamics of metastable states arising from the immiscibility of components in a spin-1 sodium condensate [19]; (ii) Energy damping observed in the spin oscillation dynamics of a spinor condensate [5], empirically described by an ohmic-like dissipation term; (iii) Condensation and magnetisation formation dynamics in a gas suddenly cooled to below the condensation temperature [20,21].…”

Section: Introductionmentioning

confidence: 99%

Stochastic projected Gross-Pitaevskii equation for spinor and multicomponent condensates

Bradley

Blakie

2014

Phys. Rev. A

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A stochastic Gross-Pitaevskii equation is derived for partially condensed Bose gas systems subject to binary contact interactions. The theory we present provides a classical-field theory suitable for describing dissipative dynamics and phase transitions of spinor and multi-component Bose gas systems comprised of an arbitrary number of distinct interacting Bose fields. A new class of dissipative processes involving distinguishable particle interchange between coherent and incoherent regions of phase-space is identified. The formalism and its implications are illustrated for two-component mixtures and spin-1 Bose-Einstein condensates. For systems comprised of atoms of equal mass, with thermal reservoirs that are close to equilibrium, the dissipation rates of the theory are reduced to analytical expressions that may be readily evaluated. The unified treatment of binary contact interactions presented here provides a theory with broad relevance for quasi-equilibrium and far-from-equilibrium Bose-Einstein condensates.

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Section: Introductionmentioning

confidence: 99%

Stochastic projected Gross-Pitaevskii equation for spinor and multicomponent condensates

Bradley

Blakie

2014

Phys. Rev. A

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“…With this choice, the present algorithm reduces to that used in previous work from our group [12,21]. The equations for and a bg then become unstable as convergence proceeds and the points cluster close to the pole, but B res usually converges smoothly.…”

Section: Elastic Scatteringmentioning

confidence: 94%

“…When this is done, a bg may not * j.m.hutson@durham.ac.uk describe a(B) far from the pole and may not be precisely the separation between the pole and a zero. Such effects are particularly prominent when there are numerous overlapping resonances [11] or when a bg is small so that the zero is artificially far from the pole [12]. If inelastic decay is present then the scattering length is complex [13] and its behavior is considerably more complicated.…”

Section: Introductionmentioning

confidence: 99%

“…Early versions of this method have been employed in previous work [12,21], but here we refine it and provide a complete description. We refer to the method described in this section as the elastic procedure.…”

Section: Elastic Scatteringmentioning

confidence: 99%

“…Our algorithms are built on an approach for resonances in purely elastic scattering that we have used previously [12,21] but have not described in detail. This converges towards a pole using an iterative three-point fit to calculated scattering lengths.…”

Section: Introductionmentioning

confidence: 99%

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Characterizing Feshbach resonances in ultracold scattering calculations

Frye

Hutson

2017

Phys. Rev. A

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Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modi ed, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.Additional information: 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. We describe procedures for converging on and characterizing zero-energy Feshbach resonances that appear in scattering lengths for ultracold atomic and molecular collisions as a function of an external field. The elastic procedure is appropriate for purely elastic scattering, where the scattering length is real and displays a true pole. The regularized scattering length procedure is appropriate when there is weak background inelasticity, so that the scattering length is complex and displays an oscillation rather than a pole, but the resonant scattering length a res is close to real. The fully complex procedure is appropriate when there is substantial background inelasticity and the real and imaginary parts of a res are required. We demonstrate these procedures for scattering of ultracold 85 Rb in various initial states. All of them can converge on and provide full characterization of resonances, from initial guesses many thousands of widths away, using scattering calculations at only about ten values of the external field.

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Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics

Lutz

Hutson

2016

Journal of Molecular Spectroscopy

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We investigate Born-Oppenheimer breakdown (BOB) effects (beyond the usual mass scaling) for the electronic ground states of a series of homonuclear and heteronuclear alkali-metal diatoms, together with the Sr 2 and Yb 2 diatomics. Several widely available electronic structure software packages are used to calculate the leading contributions to the total isotope shift for commonly occurring isotopologs of each species. Computed quantities include diagonal Born-Oppenheimer corrections (mass shifts) and isotopic field shifts. Mass shifts dominate for light nuclei up to and including K, but field shifts contribute significantly for Rb and Sr and are dominant for Yb. We compare the ab initio mass-shift functions for Li 2 , LiK and LiRb with spectroscopically derived ground-state BOB functions from the literature. We find good agreement in the values of the functions for LiK and LiRb at their equilibrium geometries, but significant disagreement with the shapes of the functions for all 3 systems. The differences may be due to contributions of nonadiabatic terms to the empirical BOB functions. We present a semiclassical model for the effect of BOB corrections on the binding energies of near-threshold states and the positions of zero-energy Feshbach resonances.

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Feshbach spectroscopy of an ultracold mixture of85Rb and133Cs

Cited by 30 publications

References 29 publications

Stochastic projected Gross-Pitaevskii equation for spinor and multicomponent condensates

Stochastic projected Gross-Pitaevskii equation for spinor and multicomponent condensates

Characterizing Feshbach resonances in ultracold scattering calculations

Deviations from Born-Oppenheimer mass scaling in spectroscopy and ultracold molecular physics

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