Association of heteronuclear molecules in a harmonic oscillator well

Bertelsen, Jesper Fevre; Mølmer, Klaus

doi:10.1103/physreva.76.043615

Cited by 15 publications

(22 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where Ω = (m1ω 2 1 +m2ω 2 2 ) M , ω = (m1ω 2 2 +m2ω 2 1 ) M and the coupling term C in the Hamiltonian is given by [30,31]…”

Section: A Two Different Atoms In Harmonic Trapmentioning

confidence: 99%

“…Due to rotational invariance of the Hamiltonian, the total angular momentum J of the pair is conserved and we may choose it to be equal to zero. The open channel wave function may then be expanded in the basis of J = 0 harmonic oscillator states [30] ψ N n (R, r) = where Φ(R) is the center of mass harmonic oscillator wave function, φ(r) is the relative motion wave function and we used the fact that the Clebsch-Gordan coefficients…”

Section: A Two Different Atoms In Harmonic Trapmentioning

confidence: 99%

See 1 more Smart Citation

Feshbach resonances in a nonseparable trap

2013

View full text Add to dashboard Cite

We consider a pair of atoms in an arbitrary trapping potential in the presence of magnetically tunable Feshbach resonance. We find the energy levels and occupation of the bound molecular states taking into account possible coupling between center of mass and relative motion induced by the trap. As a specific example we discuss the case of different atomic species in harmonic potential, where each atom feels different trapping frequency.Comment: 4 figures, as publishe

show abstract

“…where Ω = (m1ω 2 1 +m2ω 2 2 ) M , ω = (m1ω 2 2 +m2ω 2 1 ) M and the coupling term C in the Hamiltonian is given by [30,31]…”

Section: A Two Different Atoms In Harmonic Trapmentioning

confidence: 99%

Section: A Two Different Atoms In Harmonic Trapmentioning

confidence: 99%

Feshbach resonances in a nonseparable trap

2013

View full text Add to dashboard Cite

show abstract

“…In the following we describe the simple model developed to analyze our data by combining ideas from the theoretical description of photoassociation [21] with a model of the dynamics of molecule association in a harmonic oscillator well [22]. Our model is based on several simplifying assumptions.…”

mentioning

confidence: 99%

Association of ultracold double-species bosonic molecules

et al. 2008

View full text Add to dashboard Cite

We report on the creation of heterospecies bosonic molecules, associated from an ultracold BoseBose mixture of 41 K and 87 Rb, by using a resonantly modulated magnetic field close to two Feshbach resonances. We measure the binding energy of the weakly bound molecular states versus the Feshbach field and compare our results to theoretical predictions. We observe the broadening and asymmetry of the association spectrum due to thermal distribution of the atoms, and a frequency shift occurring when the binding energy depends nonlinearly on the Feshbach field. A simple model is developed to quantitatively describe the association process. Our work marks an important step forward in the experimental route towards Bose-Einstein condensates of dipolar molecules.PACS numbers: 34.20. Cf, Ultracold polar molecules hold the promise of a revolution in the domain of quantum degenerate gases and precision measurements. Degenerate molecules are sought primarily to produce a gas with strong long-range interactions, stemming from the coupling of electric dipole moments that heterospecies dimers feature. Such molecules would create strongly correlated systems with a wealth of quantum phases [1], provide candidate qubits [2,3], allow for a new generation of dipolar Bose-Einstein condensates (BECs) [4], and help in the search of the electron dipole moment [5]. Starting from ultracold atoms, molecules have been successfully created following two different approaches: photoassociation [6] and magnetoassociation [7], but few experiments have hitherto reported the production of Feshbach heteronuclear dimers. Two groups have reported the creation of fermionic KRb molecules [8,9], while the only bosonic dimer so far associated is 85 Rb 87 Rb [10], which can not be dipolar since the constituents share the same electronic configuration. Heterospecies bosonic dimers, i.e., the constituents of the dipolar BEC envisioned in Ref. [4], have instead eluded experimental realization so far.A Bose-Bose mixture is particularly suitable to associate such dimers due to the high phase-space densities achievable, while the atom-dimer relaxation, which limits the lifetime of the molecules, can be strongly suppressed in optical lattices with a single atom pair per lattice site [11]. Recent progresses in molecular stabilization schemes [12] make the Bose-Bose 41 K 87 Rb mixture truly promising for the experimental observation of BECs of dipolar molecules. Following a different route, other experiments have very recently obtained ultracold heterospecies Fermi-Fermi mixtures [13,14] that also can provide a way to compound bosonic dimers.In this Letter, we report on the production of heterospecies 41 K 87 Rb bosonic molecules starting from an ultracold mixture. In proximity of Feshbach resonances (FR's) at moderate magnetic fields, by adding a modulation to the Feshbach field [15], we have converted up to 12 000 41 K 87 Rb pairs into dimers, i.e., 40% of the minority 41 K atoms, at temperatures between 200 and 600 nK. We estimate the molecular lifetime to be a...

show abstract

“…Eigenstates and eigenenergies of a system of two different atoms in a deep lattice site interacting via a short range van del Waals interaction have been calculated in [36,35]. We denote the corresponding eigenstates as ω n op if they correspond to the open channel of two unbound atoms, and as |v cl if they correspond to a closed bound molecular state.…”

Section: Phase Gate Implementationmentioning

confidence: 99%

An atom–molecule platform for quantum computing

Kuznetsova

Yelin

Côté

2011

Quantum Inf Process

View full text Add to dashboard Cite

We propose a combined atom-molecule system for quantum information processing in individual traps, such as provided by optical lattices. In this platform, different species of atoms-one atom carrying a qubit and the other enabling the interaction-are used to store and process quantum information via intermediate molecular states. We show how gates, initialization, and readout operations could be implemented using this approach. In particular, we describe in some detail the implementation of a two-qubit phase gate in which a pair of atoms is transferred into the ground rovibrational state of a polar molecule with a large dipole moment, thus allowing atoms transferred into molecules to interact via their dipole-dipole interaction. We also discuss how the reverse process could be used as a non-destructive readout tool of molecular qubit states. Finally, we generalize these ideas to use a decoherence-free subspace for qubit encoding to minimize the decoherence due to magnetic field fluctuations. In this case, qubits will be encoded into field-insensitive states of two identical atoms, while a third atom of a different species will be used to realize a phase gate.

show abstract

Association of heteronuclear molecules in a harmonic oscillator well

Cited by 15 publications

References 44 publications

Feshbach resonances in a nonseparable trap

Feshbach resonances in a nonseparable trap

Association of ultracold double-species bosonic molecules

An atom–molecule platform for quantum computing

Contact Info

Product

Resources

About