Inhomogeneous liquid4He: A density functional approach with a finite-range interaction

Dupont‐Roc, J.; Himbert, M.; Pavloff, Nicolas; Treiner, J.

doi:10.1007/bf00683150

Cited by 138 publications

(102 citation statements)

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“…(21) with the Orsay-Paris functional of Ref. [28]. Right: density profile at T = 0 of a condensate of 87 Rb in a spherical trap with a ho = 1.08 × 10 −6 m obtained by solving the GP equation (11).…”

Section: Discussionmentioning

confidence: 99%

Helium nanodroplets and trapped Bose–Einstein condensates as prototypes of finite quantum fluids

Dalfovo

Stringari

2001

The Journal of Chemical Physics

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Helium nanodroplets and trapped Bose-Einstein condensates in dilute atomic gases offer complementary views of fundamental aspects of quantum many-body systems. We discuss analogies and differences, stressing their common theoretical background and peculiar features. We briefly review some relevant concepts, such as the meaning of superfluidity in finite systems, the behavior of elementary excitations and collective modes, as well as rotational properties and quantized vorticity.

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Section: Discussionmentioning

confidence: 99%

Helium nanodroplets and trapped Bose–Einstein condensates as prototypes of finite quantum fluids

Dalfovo

Stringari

2001

The Journal of Chemical Physics

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“…36 They have used the so-called Orsay-Paris zero temperature finiterange DF, 37 and the pseudopotential proposed in Ref. 38 as e-He interaction.…”

Section: Density-functional Approach To Electron Bubble Explosionsmentioning

confidence: 99%

Cavitation of Electron Bubbles in Liquid Helium Below Saturation Pressure

et al. 2005

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“…To keep the already cumbersome calculations at an affordable level, here we use a slightly simplified version of the same functional; namely, we take the core of the screened Lennard-Jones He-He potentials as in the original OrsayParis functional [11], and drop the gradient-gradient term which appears in the Orsay-Trento functional [12] for 4 He. We checked that these changes have negligible effects on the relevant results, while they drastically reduce the numerical effort.…”

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confidence: 99%

Quantized Vortices in MixedH3e−H4
Mayol
¹
,
Pí
²
,
Barranco
³

et al. 2001
Phys. Rev. Lett.
22
1
11
0
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Using density functional theory, we investigate the structure of mixed 3 He N3 -4 He N4 droplets with an embedded impurity (Xe atom or HCN molecule) which pins a quantized vortex line. We find that the dopant 1 vortex 1 4 He N4 complex, which in a previous work [F. Dalfovo et al., Phys. Rev. Lett. 85, 1028] was found to be energetically stable below a critical size N cr , is robust against the addition of 3 He. While 3 He atoms are distributed along the vortex line and on the surface of the 4 He drop, the impurity is mostly coated by 4 He atoms. Results for N 4 500 and a number of 3 He atoms ranging from 0 to 100 are presented, and the binding energy of the dopant to the vortex line is determined. DOI: 10.1103/PhysRevLett.87.145301 PACS numbers: 67.60. -g Helium nanodroplets have recently attracted considerable interest. A major reason is the possibility of using them as an inert, ultracold matrix for molecular spectroscopy studies [1]. They also allow one to address superfluid phenomena at a microscopic scale [2], and constitute an ideal testing ground for quantum many-body theories. An interesting perspective in this direction is the investigation of quantized vortices in finite systems. Key experiments have been carried out in the past two years on vortices in Bose-Einstein condensed gases of rubidium and sodium atoms confined in magnetic traps [3], where vortical states are created by acting with external perturbations in different ways. These states turn out to be more robust than expected on the basis of qualitative arguments. In principle, analogous vortical configurations are also possible in superfluid 4 He droplets, where the external perturbation could be a moving and/or rotating impurity. Although the presence of vortices in superfluid 4 He drops is not energetically favorable [4], we have argued that they can be stabilized by molecules hosted in the bulk of the drop [5], and that their existence could be inferred from the changes they induce in the molecular spectrum [6].The aim of this paper is to extend our previous analysis [5] to the case of mixed 3 He-4 He droplets. The addition of 3 He atoms to doped 4 He droplets has significant consequences in current experiments, since it lowers the temperature of the droplet from about 0.4 to 0.15 K, and their presence can be used as another source of information for characterizing the interaction of the dopant with the superfluid environment [7]. In this context, an accurate description of the first solvation layers of 4 He and/or 3 He around the impurity is important. The presence of 3 He in a droplet hosting a quantized vortex would display several interesting features, since (i) 3 He atoms behave as a normal component in the superfluid, providing a friction mechanism for the motion of vortex lines; (ii) 3 He atoms occupy surface states, known as Andreev states, which are energetically favored by the lighter mass and the larger zero point motion of 3 He compared to 4 He; (iii) some 3 He atoms will be attached to the vortex core, where they are expe...

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Inhomogeneous liquid4He: A density functional approach with a finite-range interaction

Cited by 138 publications

References 15 publications

Helium nanodroplets and trapped Bose–Einstein condensates as prototypes of finite quantum fluids

Helium nanodroplets and trapped Bose–Einstein condensates as prototypes of finite quantum fluids

Cavitation of Electron Bubbles in Liquid Helium Below Saturation Pressure

Quantized Vortices in MixedH3e−H4
Mayol
¹
,
Pí
²
,
Barranco
³

et al. 2001
Phys. Rev. Lett.
22
1
11
0
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Inhomogeneous liquid4He: A density functional approach with a finite-range interaction

Cited by 138 publications

References 15 publications

Helium nanodroplets and trapped Bose–Einstein condensates as prototypes of finite quantum fluids

Helium nanodroplets and trapped Bose–Einstein condensates as prototypes of finite quantum fluids

Cavitation of Electron Bubbles in Liquid Helium Below Saturation Pressure

Quantized Vortices in MixedH3e−H4Mayol1, Pí2, Barranco3 et al. 2001Phys. Rev. Lett.221110View full textAdd to dashboardCite

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Quantized Vortices in MixedH3e−H4
Mayol
¹
,
Pí
²
,
Barranco
³

et al. 2001
Phys. Rev. Lett.
22
1
11
0
View full text Add to dashboard Cite