Atomic momentum distribution and Bose-Einstein condensation in liquid<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mrow /><mml:mn>4</mml:mn></mml:msup></mml:math>He under pressure

Glyde, H. R.; Diallo, Souleymane; Azuah, R. T.; Kirichek, O.; Taylor, J. W.

doi:10.1103/physrevb.84.184506

Cited by 28 publications

(30 citation statements)

References 66 publications

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“…The condensate fraction equals one for an ideal Bose gas at zero temperature, and decreases when correlations are enhanced. In strongly interacting liquid helium the condensate fraction is typically below 10% [46]. For typical weakly interacting ultra-cold atom experiments it is around 99%, while by largely increasing the scattering length, condensate fractions as low as about 90% [47] have been realized.…”

Section: Theorymentioning

confidence: 99%

Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation

Böttcher

Wenzel

Schmidt

et al. 2019

Phys. Rev. Research

128

121

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Dipolar quantum droplets are exotic quantum objects that are self-bound due to the subtle balance of attraction, repulsion and quantum correlations. Here we present a systematic study of the critical atom number of these self-bound droplets, comparing the experimental results with extended mean-field Gross-Pitaevskii equation (eGPE) and quantum Monte-Carlo simulations of the dilute system. The respective theoretical predictions differ, questioning the validity of the current theoretical state-of-the-art description of quantum droplets within the eGPE framework and indicating that correlations in the system are significant. Furthermore, we show that our system can serve as a sensitive testing ground for many-body theories in the near future.

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Section: Theorymentioning

confidence: 99%

Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation

Böttcher

Wenzel

Schmidt

et al. 2019

Phys. Rev. Research

128

121

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“…In fact we find quite a large condensate fraction at equilibrium density, with nðk ¼ 0Þ ¼ 0.93ð1Þ, compared to a value of unity for a weakly interacting Bose gas. One can also compare to liquid 4 He which has a condensate fraction of 0.0725(75) at equilibrium density [37].…”

Section: Prl 119 223002 (2017) P H Y S I C a L R E V I E W L E T T Ementioning

confidence: 99%

Ground-State Properties of Unitary Bosons: From Clusters to Matter

et al. 2017

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The properties of cold Bose gases at unitarity have been extensively investigated in the last few years both theoretically and experimentally. In this Letter we use a family of interactions tuned to two-body unitarity and very weak three-body binding to demonstrate the universal properties of both clusters and matter. We determine the universal properties of finite clusters up to 60 particles and, for the first time, explicitly demonstrate the saturation of energy and density with particle number and compare with bulk properties. At saturation in the bulk we determine the energy, density, two-and three-body contacts, and the condensate fraction. We find that uniform matter is more bound than three-body clusters by nearly 2 orders of magnitude, the two-body contact is very large in absolute terms, and yet the condensate fraction is also very large, greater than 90%. Equilibrium properties of these systems may be experimentally accessible through rapid quenching of weakly interacting boson superfluids. DOI: 10.1103/PhysRevLett.119.223002 Introduction.-Strongly interacting fermionic cold atoms have been the subject of a great deal of study both theoretically and experimentally across the BEC to BCS transition, and especially at unitarity, where the two-body system has a nearly zero-energy bound state [1]. These systems are universal in that all properties, including ground-state energy, superfluid pairing gaps, superfluid transition temperatures, etc., are obtained as a set of universal dimensionless parameters multiplied by the Fermi energy or momentum of a free Fermi gas at the same density. Studies of bosonic superfluids, however, have concentrated on the weakly interacting regime described by the Gross-Pitaevski mean-field equation. These systems are comparatively simple to study as they were the first to be cooled to very low temperatures and their properties can be described in a mean-field picture.It has been known for some time that short-range twoand three-body interactions can be used to describe the lowenergy properties of small clusters of bosons. To obtain universal properties, the two-body interaction can similarly be taken to generate a zero-energy dimer, but a three-body interaction is required [2,3] to avoid the so-called "Thomas collapse" [4] of three or more particles. The resulting discrete scale invariance leads to geometric towers of states in systems with three [5] and more [6][7][8][9][10] bosons. Many atomic and nuclear few-body systems fall into this universality class [11].In this Letter we demonstrate that large clusters and bulk matter are stable with such interactions, and similarly to the fermionic case described by a fairly simple set of universal parameters. We provide the first estimates for the universal parameters describing the ground-state energy, the equilibrium density, two-and three-body contacts, and

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“…The estimated values of n 0 at zero temperature are in the range between 2% and 10%. The most recent rather precise experiments [42][43][44] give the zero temperature value n 0 = (7.25 ± 0.75)% at saturated vapor pressure and n 0 = (2.8 ± 0.2)% at the pressure close to solidification. The latter value has also been confirmed by the diffusion Monte Carlo calculations [44].…”

Section: Zero Temperaturementioning

confidence: 99%

Ground state of a homogeneous Bose gas of hard spheres

Yukalov

Yukalova

2014

Phys. Rev. A

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The ground state of a homogeneous Bose gas of hard spheres is treated in selfconsistent mean-field theory. It is shown that this approach provides an accurate description of the ground state of a Bose-Einstein condensed gas for arbitrarily strong interactions. The results are in good agreement with Monte Carlo numerical calculations. Since all other mean-field approximations are valid only for very small gas parameters, the present self-consistent theory is a unique mean-field approach allowing for an accurate description of Bose systems at arbitrary values of the gas parameter.

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Atomic momentum distribution and Bose-Einstein condensation in liquid4He under pressure

Cited by 28 publications

References 66 publications

Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation

Dilute dipolar quantum droplets beyond the extended Gross-Pitaevskii equation

Ground-State Properties of Unitary Bosons: From Clusters to Matter

Ground state of a homogeneous Bose gas of hard spheres

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