Feshbach molecule formation through an oscillating magnetic field: subharmonic resonances

Brouard, S.; Plata, J.

doi:10.1088/0953-4075/48/6/065002

Cited by 5 publications

(15 citation statements)

References 40 publications

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“…Brouard and Plata have recently presented a different theoretical treatment of the association of atoms into dimers using an oscillating magnetic field [11]. They also used a two-channel model for the two-atom system, with one channel consisting of a continuum of positive-energy atom pair states and the second channel consisting of a single discrete molecular state.…”

Section: Comparisons and Summarymentioning

confidence: 99%

“…However in Ref. [11], a time-dependent unitary transformation was used to move the time-dependence into off-diagonal terms between the dimer state and the atom-pair states. They showed that for frequencies near the harmonic resonance, the dynamics in the transformed frame can be approximated by a time-independent Hamiltonian whose entries are given analytically as functions of the oscillation parameters and the Feshbach resonance parameters.…”

Section: Comparisons and Summarymentioning

confidence: 99%

“…A theoretical treatment of the association of atoms into dimers by an oscillating magnetic field was first presented by Hanna, Köhler, and Burnett in 2007 [10]. An alternative approach was recently developed by Brouard and Plata [11]. Both groups described the two-atom system by a two-channel model consisting of a continuum of atom-pair states and a discrete molecular state.…”

Section: Introductionmentioning

confidence: 99%

“…In Ref. [11], some qualitative aspects of the harmonic and subharmonic association processes were derived analytically. The results for association probabilities from both groups were completely numerical.…”

Section: Introductionmentioning

confidence: 99%

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Harmonic and subharmonic association of universal dimers in a thermal gas

Mohapatra

Braaten

2015

Phys. Rev. A

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In a gas of ultracold atoms whose scattering length is controlled by a magnetic Feshbach resonance, atoms can be associated into universal dimers by an oscillating magnetic field. In addition to the harmonic resonance with frequency near that determined by the dimer binding energy, there is a subharmonic resonance with half that frequency. If the thermal gas contains dimers, they can be dissociated into unbound atoms by the oscillating magnetic field. We show that the transition rates for association and dissociation can be calculated by treating the oscillating magnetic field as a sinusoidal time-dependent perturbation proportional to the contact operator. Many-body effects are taken into account through transition matrix elements of the contact operator. We calculate both the harmonic and subharmonic transition rates analytically for association in a thermal gas of atoms and dissociation in a thermal gas of dimers.

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Section: Comparisons and Summarymentioning

confidence: 99%

Section: Comparisons and Summarymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Harmonic and subharmonic association of universal dimers in a thermal gas

Mohapatra

Braaten

2015

Phys. Rev. A

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“…Namely, we concentrate on the variation of the effective coupling constant that can be achieved with the proposed arrangements of magnetic fields. Additional aspects of the dynamics, which can limit the conversion efficiency, were analyzed for the case of single-frequency field in [22].…”

Section: A General Approachmentioning

confidence: 99%

Controlled interference of association paths in the conversion of ultracold atoms into molecules

Plata¹

2015

J. Phys. B: At. Mol. Opt. Phys.

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We present a proposal for controlling the conversion of ultracold atoms into molecules by fixing the phase difference between two oscillating magnetic fields. The scheme is based on the use of a magnetic Feshbach resonance with a field modulation that incorporates terms oscillating with frequencies corresponding to the main resonance and one of the subharmonics. The interference between the two association processes activated by the oscillating terms is controlled via the phase difference. As a result, significant increase or decrease of the effective interaction strength can be achieved. The realization of the proposal is feasible under standard technical conditions. In particular, the method is found to be robust against the effect of the sources of decoherence present in the practical setup. The applicability of the approach to deal with quadratic terms in the field modulation is discussed.

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Suppression of interaction-induced loss rate coefficient near broad s-wave and p-wave Feshbach resonances by magnetic field

Lyu¹,

Sun²,

Wang³

et al. 2022

J. Phys. B: At. Mol. Opt. Phys.

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Ultracold atoms prepared in excited internal states can escape from the trap through inelastic collisions. A magnetic ﬁeld can be used to suppress the s-wave loss rate coefficient near an s-wave Feshbach resonance. However, at the temperature of µK the p-wave loss rate coefficient becomes increasingly important as the temperature increases. The unsuppressed p-wave loss rate coefficient can far exceed the suppressed s-wave loss rate coefficient, and severely restricts the reduction of the total loss rate coefficient. We calculate the collision rate coefficients of ultracold 85Rb and 87Rb atoms prepared in excited hyperﬁne and Zeeman states using the coupled-channel method. We ﬁnd that in 85Rb(F1 = 3, mF1= 3) + 87Rb(F2 = 1, mF2= −1) and 85Rb(F1 = 2, mF1= −2) + 87Rb(F2 = 2, mF2= −2) there exist broad p-wave Feshbach resonances located near s-wave Feshbach resonances, and find that the s- and p-wave loss rate coefficients can be simultaneously suppressed by a magnetic ﬁeld in the temperature range from 1 to 30 µK. In particular, for 85Rb(F1 = 3, mF1= 3) + 87Rb(F2 = 1, mF2= −1) the proportion of the s- and p-wave loss rate coefficients in the total loss rate coefficient can be well manipulated by adjusting the magnetic ﬁeld.

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Feshbach molecule formation through an oscillating magnetic field: subharmonic resonances

Cited by 5 publications

References 40 publications

Harmonic and subharmonic association of universal dimers in a thermal gas

Harmonic and subharmonic association of universal dimers in a thermal gas

Controlled interference of association paths in the conversion of ultracold atoms into molecules

Suppression of interaction-induced loss rate coefficient near broad s-wave and p-wave Feshbach resonances by magnetic field

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