Stimulated Raman adiabatic passage from an atomic to a molecular Bose-Einstein condensate

Drummond, P. D.; Kheruntsyan, K. V.; Heinzen, D. J.; Wynar, R. H.

doi:10.1103/physreva.65.063619

Cited by 134 publications

(144 citation statements)

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“…1. The exactly same description can be applied to the twophoton photoassociation-based Λ-system, due to the formal equivalence between the two models [15]. In Fig.…”

Section: Hamiltonian Stationary Equations and Cpt Statementioning

confidence: 99%

“…The situation when the collisions are present is more complicated. It was generally believed that the nonlinear phase shifts arising from particle collisions would defeat the two-photon resonance condition [13,15], a prerequisite for the existence of CPT states and hence the key for the successful implementation of STIRAP. In a recent work [23], we have shown that by appropriately chirping the optical frequency and the Feshbach detuning, the collision-induced nonlinear phase shifts can be dynamically compensated, hence generalizing the concept of the CPT state from the collisionless limit [13] to situations where collisions cannot be ignored.…”

Section: Figmentioning

confidence: 99%

“…typically demands very high laser intensities in order to overcome the weak coupling caused by the extremely small Franck-Condon overlap integral for the free atomicbound molecular transition [15].…”

Section: Figmentioning

confidence: 99%

“…One possibility to overcome the difficulty is to employ the two-photon or Raman photoassociation model, as in the proposal for generating ground molecular condensates [12,13,14,15] from atomic condensates through the stimulated Raman adiabatic passage (STIRAP) [16,17]. In spite of the nonlinear nature of the atom-molecule coupling in the photoassociation process, it was shown by Mackie et al [13] that in the collisionless limit, this model can support a coherent superposition of free atomic and ground molecular condensates.…”

Section: Introductionmentioning

confidence: 99%

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Coherent population trapping and dynamical instability in coupled atom-molecule condensates

Ling

Maenner

2005

Phys. Rev. A

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We study the possibility of creating a coherent population trapping (CPT) state, involving free atomic and ground molecular condensates, during the process of associating atomic condensate into molecular condensate. We generalize the Bogoliubov approach to this multi-component system and study the collective excitations of the CPT state in the homogeneous limit. We develop a set of analytical criteria based on the relationship among collisions involving atoms and ground molecules, which are found to strongly affect the stability properties of the CPT state, and use it to find the stability diagram and to systematically classify various instabilities in the long-wavelength limit.

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“…1. The exactly same description can be applied to the twophoton photoassociation-based Λ-system, due to the formal equivalence between the two models [15]. In Fig.…”

Section: Hamiltonian Stationary Equations and Cpt Statementioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: Figmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Coherent population trapping and dynamical instability in coupled atom-molecule condensates

Ling

Maenner

2005

Phys. Rev. A

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“…Note that efficient short-pulse conversion requires asymmetric pulses [2,3]. The optimal density isρ ∼ 10 12 cm −3 , for which conversion to a molecular BEC occurs on a timescale T = 5 × 10 3 /χ 0 ∼ 50 ms. Optimizing the laser parameters [3] should give even further improvement.Granted, experiments are inhomogeneous and our theory is not. But inhomogeneity may be approximated by averaging over a Thomas-Fermi density distribution, and the subsequent optimal density should be in the same ballpark as the homogeneous prediction.…”

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confidence: 99%

Comment on “Stimulated Raman adiabatic passage from an atomic to a molecular Bose-Einstein condensate”

2005

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Collective two-color photoassociation of a freely-interacting 87 Rb Bose-Einstein condensate is theoretically examined, focusing on stimulated Raman adiabatic passage (STIRAP) from an atomic to a stable molecular condensate. In particular, Drummond et al. [Phys. Rev. A 65, 063619 (2002)] have predicted that particle-particle interactions can limit the efficiency of collective atom-molecule STIRAP, and that optimizing the laser parameters can partially overcome this limitation. We suggest that the molecular conversion efficiency can be further improved by treating the initial condensate density as an optimization parameter.PACS numbers: 03.75. Nt,03.65.Ge,05.30.Jp,32.80.Wr Stimulated Raman adiabatic passage (STIRAP) from an atomic to a molecular condensate [1] in the presence of particle-particle interactions was recently investigated [2,3]. In particular, Drummond et al.[3] predict that, for a 87 Rb Bose-Einstein condensate (BEC) of typical density (ρ ∼ 10 14 cm 3 ), the STIRAP conversion efficiency can be limited in practice by two-photon dephasing caused by particle interactions, and that said limitation can be partially overcome by optimizing the laser parameters. The purpose of this Comment is to suggest that the role of particle-particle interactions can be further downplayed, and the conversion efficiency improved, by treating the initial condensate density as an additional optimization parameter.The mean-field equations for collective two-color photoassociation of a freely-interacting gas can be writtenwhere the complex amplitudes a, b, and g represent the respective atomic, excited-molecular, and stablemolecular condensates. The laser-matter interactions that drive the respective atom-molecule and moleculemolecule transitions areand, where χ 0 includes the effects of Bose-enhancement [1], i.e., χ 0 ∝ √ ρ . The two-photon (intermediate) detuning is ∆ (δ), and the mean-field shift due to atom-atom (atommolecule, molecule-molecule) interactions is Λ aa = ρλ aa = 4π ρa aa /m (Λ ag = ρλ gg = 3π ρa ag /m, Λ gg = ρλ gg = 2π ρa gg /m), where m is the atom mass and a aa (a ag , a gg ) is the atom-atom (atom-molecule, moleculemolecule) scattering length. Spontaneous decay is included with the rate γ s , which is generally large enough to justify neglect of any mean-field shifts for the excitedmolecular state.Explicit numbers for 87 Rb are [3] γ s = 7.4 × 10 7 s −1 , χ 0 = 2.1 × 10 6 ρ/ρ 0 s −1 , ρ 0 = 4.3 × 10 14 cm −3 , λ aa = 4.96 × 10 −11 cm 3 /s, λ ag = −6.44 × 10 −11 cm 3 /s; although unknown, the stable-molecule mean-field shift λ gg = 2.48 × 10 −11 cm 3 /s is estimated by assuming equal atom-atom and molecule-molecule scattering lengths.The idea of optimizing the density of the initial atomic Bose-Einstein condensate is drawn from investigations into forming a molecular condensate via Feshbachresonant interactions[4], i.e., magnetoassociation, where collision-induced vibrational relaxation of the molecules is included as a complex particle-particle scattering length, and where a moderate density helps to...

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2011

Quantum Control of Molecular Processes

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Stimulated Raman adiabatic passage from an atomic to a molecular Bose-Einstein condensate

Cited by 134 publications

References 28 publications

Coherent population trapping and dynamical instability in coupled atom-molecule condensates

Coherent population trapping and dynamical instability in coupled atom-molecule condensates

Comment on “Stimulated Raman adiabatic passage from an atomic to a molecular Bose-Einstein condensate”

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