Optical breakdown of crystals containing radiation-generated color centers

Efimov, Oleg M.; Mekryukov, Andrei M.; Reiterov, V. M.

doi:10.1070/qe1989v019n12abeh009838

Cited by 26 publications

(49 citation statements)

References 2 publications

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“…Besides this singular behavior, the three-boson system shows a very peculiar behavior as the two-body scattering length approaches the unitary limit, 1/a → 0. In this limit, as has been shown by V. Efimov in a series of papers [3,4], a system of three identical bosons interacting through a two-body shortrange interaction shows a geometrical series of bound states whose energies accumulate to zero. The ratio between the energies of two consecutive states is constant and does not depend on the nature of the interaction.…”

Section: Introductionmentioning

confidence: 67%

Universal range corrections to Efimov trimers for a class of paths to the unitary limit

Kievsky

Gattobigio

2015

Phys. Rev. A

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Using potential models we analyze range corrections to the universal law dictated by the Efimov theory of three bosons. In the case of finite-range interactions we have observed that, at first order, it is necessary to supplement the theory with one finite-range parameter, Γ 3 n , for each specific nlevel [Kievsky and Gattobigio, Phys. Rev. A 87, 052719 (2013)]. The value of Γ 3 n depends on the way the potentials is changed to tune the scattering length toward the unitary limit. In this work we analyze a particular path in which the length rB = a − aB, measuring the difference between the two-body scattering length a and the energy scattering length aB, results almost constant. Analyzing systems with very different scales, as atomic or nuclear systems, we observe that the finite-range parameter remains almost constant along the path with a numerical value of Γ 3 0 ≈ 0.87 for the ground state level. This observation suggests the possibility of constructing a single universal function that incorporate finite-range effects for this class of paths. The result is used to estimate the three-body parameter κ * in the case of real atomic systems brought to the unitary limit thought a broad Feshbach resonances. Furthermore, we show that the finite-range parameter can be put in relation with the two-body contact C2 at the unitary limit.

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Section: Introductionmentioning

confidence: 67%

Universal range corrections to Efimov trimers for a class of paths to the unitary limit

Kievsky

Gattobigio

2015

Phys. Rev. A

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“…For identical bosons the Efimov period equals 22.7 [23] and two loss peaks separated by approximately this factor have recently been observed in Cs [12,13]. However, the second (excited-state) peak is already close to the saturation regime and its quantitative characterization has been done relying on the finite-temperature theory developed in Ref.…”

Section: Introductionmentioning

confidence: 99%

Three-body recombination in heteronuclear mixtures at finite temperature

Petrov

Werner

2015

Phys. Rev. A

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Within the universal zero-range theory, we compute the three-body recombination rate to deep molecular states for two identical bosons resonantly interacting with each other and with a third atom of another species, in the absence of weakly bound dimers. The results allow for a quantitative understanding of loss resonances at finite temperature and, combined with experimental data, can be used for testing the Efimov universality and extracting the corresponding three-body parameters in a given system. Curiously, we find that the loss rate can be dramatically enhanced by the resonant heavy-heavy interaction, even for large mass ratios where this interaction is practically irrelevant for the Efimov scaling factor. This effect is important for analysing the recent loss measurements in the Cs-Li mixture

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“…This diatomic resonant scenario is the prelude for a set of exotic few-body phenomena, namely the Efimov effect. Although the Feshbach molecular state is unbound at the resonance, there exists an infinite log-periodic series of Efimov three-body bound states [18,19]. At 1/a → 0 the size of the p th Efimov state (p = 0, 1, 2...) is larger than the previous by a factor by 22.7, and its binding energy E (p) T smaller by a factor of 22.7 2 [20,21].At finite density n many-body effects complicate the physics.…”

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confidence: 99%

Observation of Efimov Molecules Created from a Resonantly Interacting Bose Gas

et al. 2017

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We convert a strongly interacting ultracold Bose gas into a mixture of atoms and molecules by sweeping the interactions from resonant to weak. By analyzing the decay dynamics of the molecular gas, we show that in addition to Feshbach dimers it contains Efimov trimers. Typically around 8% of the total atomic population is bound into trimers, identified by their density-independent lifetime of about 100 µs. The lifetime of the Feshbach dimers shows a density dependence due to inelastic atom-dimer collisions, in agreement with theoretical calculations. We also vary the density of the gas across a factor of 250 and investigate the corresponding atom loss rate at the interaction resonance.Experiments with ultracold atomic gases provide access to a vast array of intriguing phenomena, in part because of magnetically tunable Feshbach resonances. In particular, recent experimental [1][2][3][4][5] and theoretical [6][7][8][9][10][11][12][13][14][15][16] advances have made resonantly interacting Bose gases an exciting new research topic [17]. Unlike their fermionic counterparts, strongly interacting Bose systems are profoundly influenced by three-body phenomena, and help us understand the progression from two-through few-to many-body physics.At the Feshbach resonance the s-wave scattering length a diverges, and in the case of zero density the Feshbach molecule state, also of size a, merges with the free-atom state. This diatomic resonant scenario is the prelude for a set of exotic few-body phenomena, namely the Efimov effect. Although the Feshbach molecular state is unbound at the resonance, there exists an infinite log-periodic series of Efimov three-body bound states [18,19]. At 1/a → 0 the size of the p th Efimov state (p = 0, 1, 2...) is larger than the previous by a factor by 22.7, and its binding energy ET smaller by a factor of 22.7 2 [20,21]. At finite density n many-body effects complicate the physics. The system has an additional length scale, the interparticle spacing n −1/3 , that may determine how few-and many-body interactions scale. Many questions arise, such as: what are the structure, strength, length scale and dynamics of the two-, few-and many-body correlations? What does it mean to have a two-or three-atom molecule when it is embedded in a gas with interparticle spacing comparable to the molecular size?Both the ambiguous constitution of two-and three-body states in a many-body environment and the short-lived quasiequilibrium of a resonantly interacting Bose gas [3] complicate experiments. For these reasons, many experiments simplify matters by reducing interactions to a well-understood regime before imaging [1][2][3][4]. This interaction sweep can preserve resonance fossils in the form of perceived loss [1, 2, 4], momentum generation [3], and molecule formation.In this letter, we create a mixture of 85 Rb (free atoms), 85 Rb * 2 (Feshbach dimers), and 85 Rb * 3 (Efimov trimers) by sweeping a resonantly interacting degenerate Bose gas onto the molecular states in the weakly-interacting regime (na 3 1). O...

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Optical breakdown of crystals containing radiation-generated color centers

Cited by 26 publications

References 2 publications

Universal range corrections to Efimov trimers for a class of paths to the unitary limit

Universal range corrections to Efimov trimers for a class of paths to the unitary limit

Three-body recombination in heteronuclear mixtures at finite temperature

Observation of Efimov Molecules Created from a Resonantly Interacting Bose Gas

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