Fine-Structure Transitions and Shape Resonances

Reid, R. H. G.; Dalgarno, A.

doi:10.1103/physrevlett.22.1029

Cited by 93 publications

(25 citation statements)

References 5 publications

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“…[26], except that in the present case Yb( 3 P j ) interacts with a structureless partner. The interaction potentialV can be written as the Legendre expansionV (R,r) = k=0,2 V k (R)P k R ·r [4,27], where R is the internuclear separation vector andr is a unit vector describing the position of the Yb 6p electron. The expansion coef- [5,28], where V Σ and V Π are the 3 Σ g and 3 Π g BornOppenheimer potentials.…”

Section: Calculation Of Near-threshold Bound Statesmentioning

confidence: 99%

“…In the absence of a field, we use the space-fixed total angular momentum basis set |(ls)jLJM J [4]. Here the atomic orbital and spin angular momenta l and s couple to give a resultant j, which then couples to the end-over-end angular momentum L to give the total angular momentum J.…”

Section: Calculation Of Near-threshold Bound Statesmentioning

confidence: 99%

“…The density of the spectra results from large reduced masses that produce a large number of bound levels. The complexity arises from anisotropic interactions, which couple different end-over-end angular momenta of the colliding pair [4,5], combined with magnetic fields, which couple different total angular momenta. Chaotic behavior is likely to make the assignment of quantum numbers to individual resonances and prediction of their positions impossible.…”

Section: Introductionmentioning

confidence: 99%

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Quantum chaos in ultracold collisions betweenYb(1S0)andYb(3P2)
Green
¹
,
Vaillant
²
,
Frye
³

et al. 2016
Phys. Rev. A
16
2
11
0
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We calculate and analyze Feshbach resonance spectra for ultracold Yb( 1 S0) + Yb( 3 P2) collisions as a function of an interatomic potential scaling factor λ and external magnetic field. We show that, at zero field, the resonances are distributed randomly in λ, but that signatures of quantum chaos emerge as a field is applied. The random zero-field distribution arises from superposition of structured spectra associated with individual total angular momenta. In addition, we show that the resonances in magnetic field in the experimentally accessible range 400 to 2000 G are chaotically distributed, with strong level repulsion that is characteristic of quantum chaos.

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Section: Calculation Of Near-threshold Bound Statesmentioning

confidence: 99%

Section: Calculation Of Near-threshold Bound Statesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Quantum chaos in ultracold collisions betweenYb(1S0)andYb(3P2)
Green
¹
,
Vaillant
²
,
Frye
³

et al. 2016
Phys. Rev. A
16
2
11
0
View full text Add to dashboard Cite

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“…However, ultracold Yb can also be prepared in its metastable 3 P 2 state [23], which has a radiative lifetime of at least 15 s [23,24]. Atoms in P states are anisotropic [25], so the interaction of Yb( …”

mentioning

confidence: 99%

Magnetically tunable Feshbach resonances in Li+Yb(3PJ)

González-Martínez

Hutson

2013

Phys. Rev. A

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“…If B is a closed-shell atom, the A-B interaction potential can be expanded in a Legendre series [10] V AB (R,r) =…”

mentioning

confidence: 99%

Breaking van der Waals Molecules with Magnetic Fields

Krems

2004

Phys. Rev. Lett.

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It is demonstrated that weakly bound van der Waals complexes can dissociate in a magnetic field through coupling between the Zeeman levels. The Zeeman predissociation process is shown to be efficient and it can be controlled by external magnetic fields.PACS numbers: 34.50. 32.80.Pj, 32.60.+i, 34.20.6j Manipulating dynamics of molecules with external fields has long been a sought-after goal of experimental and theoretical research. Several groups have studied elastic and inelastic collisions of ultracold alkali atoms in the presence of Feshbach scattering resonances [1][2][3][4][5][6]. It was found that the probabilities of elastic collisions and inelastic energy transfer undergo dramatic changes near Feshbach resonances. The Feshbach resonances can be tuned by bias magnetic fields so that atom-atom ultracold collisions can be controlled. Ultracold molecules have been created by linking ultracold atoms with magnetic fields [7]. The creation of molecules at subKelvin temperatures has opened up possibilities for controlling molecular interactions with electric fields [8]. External fields break the isotropy of space and may induce couplings between electronic states otherwise uncoupled [9]. Forbidden electronic transitions may thus become allowed in an external field and the probabilities of the electronic transitions can be controlled by the strength of the external field [9].In this work we study predissociation of weakly bound van der Waals complexes containing atoms with non-zero electronic orbital angular momentum in a magnetic field when transitions to lower magnetic levels release enough energy to break the van der Waals bond. The predissociation is due to coupling between different Zeeman energy levels of the complex. We show that the Zeeman predissociation dynamics can be efficient and the molecules, while stable at zero magnetic field, quickly decompose in a magnetic field. Figure 1 illustrates the idea of the Zeeman predissociation. Consider a van der Waals complex of an open-shell atom (A) with non-zero electronic orbital angular momentum and a closed-shell atom or molecule (B) in a magnetic field. The AB complex can be described by a set of coupled potential energy curves correlating with different Zeeman energy levels of atom A. At zero magnetic field, the Zeeman energy levels are degenerate and the complex is stable. An external magnetic field splits the Zeeman energy levels and bound states of the complex may be higher in energy than some of the Zeeman levels of the separated A and B. The AB molecule can then dissociate through transitions to these Zeeman levels. The predissociation lifetime depends on the strength of the coupling between the Zeeman levels.

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Fine-Structure Transitions and Shape Resonances

Cited by 93 publications

References 5 publications

Quantum chaos in ultracold collisions betweenYb(1S0)andYb(3P2)
Green
¹
,
Vaillant
²
,
Frye
³

et al. 2016
Phys. Rev. A
16
2
11
0
View full text Add to dashboard Cite

Quantum chaos in ultracold collisions betweenYb(1S0)andYb(3P2)
Green
¹
,
Vaillant
²
,
Frye
³

et al. 2016
Phys. Rev. A
16
2
11
0
View full text Add to dashboard Cite

Magnetically tunable Feshbach resonances in Li+Yb(3PJ)

Breaking van der Waals Molecules with Magnetic Fields

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Fine-Structure Transitions and Shape Resonances

Cited by 93 publications

References 5 publications

Quantum chaos in ultracold collisions betweenYb(1S0)andYb(3P2)Green1, Vaillant2, Frye3 et al. 2016Phys. Rev. A162110View full textAdd to dashboardCite

Quantum chaos in ultracold collisions betweenYb(1S0)andYb(3P2)Green1, Vaillant2, Frye3 et al. 2016Phys. Rev. A162110View full textAdd to dashboardCite

Magnetically tunable Feshbach resonances in Li+Yb(3PJ)

Breaking van der Waals Molecules with Magnetic Fields

Contact Info

Product

Resources

About

Quantum chaos in ultracold collisions betweenYb(1S0)andYb(3P2)
Green
¹
,
Vaillant
²
,
Frye
³

et al. 2016
Phys. Rev. A
16
2
11
0
View full text Add to dashboard Cite

Quantum chaos in ultracold collisions betweenYb(1S0)andYb(3P2)
Green
¹
,
Vaillant
²
,
Frye
³

et al. 2016
Phys. Rev. A
16
2
11
0
View full text Add to dashboard Cite