Zero-Temperature Equation of State of a Two-Dimensional Bosonic Quantum Fluid with Finite-Range Interaction

Tononi, Andrea

doi:10.3390/condmat4010020

Cited by 9 publications

(7 citation statements)

References 33 publications

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“…Ultradilute liquid drops, which require beyond-mean field corrections to be theoretically understood, offer the perfect benchmark to explore possible effects beyond MF+LHY theory [12] which usually play a minute role in the case of single-component gases [13,14]. Indeed, several theoretical studies [15][16][17][18][19] indicate a strong dependence of the equation of state of the liquid on the details of the interatomic interaction, even at very low densities. This essentially means it is already possible to achieve observations outside the universal regime, in which all the interactions can be expressed in terms of the gas parameter na 3 , with a the s-wave scattering length.…”

Section: Introductionmentioning

confidence: 99%

Finite-range effects in ultradilute quantum drops

2020

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In the first experimental realization of dilute Bose-Bose liquid drops using two hyperfine states of 39 K some discrepancies between theory and experiment were observed. The standard analysis of the data using the Lee-Huang-Yang beyond mean-field theory predicted critical numbers which were significantly off the experimental measurements. Also, the radial size of the drops in the experiment proved to be larger than expected from this theory. Using a new functional, which is based on quantum Monte Carlo results of the bulk phase incorporating finite-range effects, we can explain the origin of the discrepancies in the critical number. This result proves the necessity of including finite-range corrections to deal with the observed properties in this setup. The controversy on the radial size is reasoned in terms of the departure from the optimal concentration ratio between the two species of the mixture. arXiv:2001.09086v1 [cond-mat.quant-gas]

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Section: Introductionmentioning

confidence: 99%

Finite-range effects in ultradilute quantum drops

2020

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“…One can easily sum over the Matsubara bosonic frequencies ω n [33], and remembering the mean-field grand potential Ω 0 of Eq. ( 14), we obtain the total grand potential Ω as…”

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confidence: 99%

Bose-Einstein Condensation on the Surface of a Sphere

Tononi

Salasnich

2019

Phys. Rev. Lett.

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Motivated by the recent achievement of space-based Bose-Einstein condensates (BEC) with ultracold alkali-metal atoms under microgravity and by the proposal of bubble traps which confine atoms on a thin shell, we investigate the BEC thermodynamics on the surface of a sphere. We determine analytically the critical temperature and the condensate fraction of a noninteracting Bose gas. Then we consider the inclusion of a zero-range interatomic potential, extending the noninteracting results at zero and finite temperature. Both in the noninteracting and interacting cases the crucial role of the finite radius of the sphere is emphasized, showing that in the limit of infinite radius one recovers the familiar two-dimensional results. We also investigate the Berezinski-Kosterlitz-Thouless transition driven by vortical configurations on the surface of the sphere, analyzing the interplay of condensation and superfluidity in this finite-size system.

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“…The two-dimensional case is much more complicated, since the zero-range coupling constant displays a peculiar logarithmic dependence on the number density [51][52][53][54]. For two-spatial dimensions a separate investigation is then needed, in order to investigate the eventual divergences in the free energy and the relation between the disorder potential and the prediction of the Mermin-Wagner-Hohenberg theorem [55][56][57].…”

Section: A Thermodynamic Picture and Disorder-driven Condensate Deple...mentioning

confidence: 99%

“…Now, what can we say about the disorder influence on the superfluid motion of the system? Actually, within the Landau-Khalatnikov two-fluid formulation [58,59], the calculation proceeds in a similar fashion, provided that the theory is modified accordingly to the following points [50,52,54]:…”

Section: B Superfluid Response and Quenched Disordermentioning

confidence: 99%

Superfluids, Fluctuations and Disorder

Cappellaro

Salasnich

2019

Applied Sciences

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We present a field-theory description of ultracold bosonic atoms in presence of a disordered external potential. By means of functional integration techniques, we aim to investigate and review the interplay between disordered energy landscapes and fluctuations, both thermal and quantum ones. Within the broken-symmetry phase, up to the Gaussian level of approximation, the disorder contribution crucially modifies both the condensate depletion and the superfluid response. Remarkably, it is found that the ordered (i.e. superfluid) phase can be destroyed also in regimes where the random external potential is suitable for a perturbative analysis. We analyze the simplest case of quenched disorder and then we move to present the implementation of the replica trick for ultracold bosonic systems. In both cases, we discuss strengths and limitations of the reviewed approach, paying specific attention to possible extensions and the most recent experimental outputs.

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Zero-Temperature Equation of State of a Two-Dimensional Bosonic Quantum Fluid with Finite-Range Interaction

Cited by 9 publications

References 33 publications

Finite-range effects in ultradilute quantum drops

Finite-range effects in ultradilute quantum drops

Bose-Einstein Condensation on the Surface of a Sphere

Superfluids, Fluctuations and Disorder

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