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We study small clusters of bosons, $A=2,3,4,5,6$, characterized by a resonant interaction. Firstly, we use a soft-gaussian interaction that reproduces the values of the dimer binding energy and the atom-atom scattering length obtained with…

Atomic and Molecular Clusters · Physics 2015-06-12 M. Gattobigio , A. Kievsky , M. Viviani

The Gross-Pitaevskii equation has been extremely successful in the theory of weakly-interacting Bose-Einstein condensates. However, present-day experiments reach beyond the regime of its validity due to the significant role of correlations.…

Condensed Matter · Physics 2007-05-23 Krzysztof Goral , Thorsten Koehler , Thomas Gasenzer , Keith Burnett

We investigate the propagation of spin waves in two-component mixtures of one-dimensional Bose gases interacting through repulsive contact potentials. By using quantum Monte Carlo methods we calculate static ground-state properties, such as…

Quantum Gases · Physics 2018-07-18 Luca Parisi , G. E. Astrakharchik , Stefano Giorgini

In this paper, we study the stability of three-dimensional Bose-Einstein condensates of finite temperatures at which both elastic and inelastic collisions are taken into account. The modeled governing Gross-Pitaevski equation reveals…

Quantum Gases · Physics 2025-04-08 R. Sasireka , O. T. Lekeufack , S. Sabari , A. Uthayakumar

We study three-body loss in an ultracold mixture of a thermal Bose gas and a degenerate Fermi gas. We find that at unitarity, where the interspecies scattering length diverges, the usual inverse-square temperature scaling of the three-body…

Quantum Gases · Physics 2022-05-09 Xing-Yan Chen , Marcel Duda , Andreas Schindewolf , Roman Bause , Immanuel Bloch , Xin-Yu Luo

We have analyzed our recently-measured three-body loss rate coefficient for a Bose-Einstein condensate of spin-polarized metastable triplet 4He atoms in terms of Efimov physics. The large value of the scattering length for these atoms,…

Quantum Gases · Physics 2012-12-18 S. Knoop , J. S. Borbely , W. Vassen , S. J. J. M. F. Kokkelmans

We study both Bose and Fermi gases at finite temperature and density in an approximation that sums an infinite number of many body processes that are reducible to 2-body scatterings. This is done for arbitrary negative scattering length,…

Quantum Gases · Physics 2013-05-30 Andre LeClair , Edgar Marcelino , Andre Nicolai , Itzhak Roditi

Kinetic properties of a granular gas of viscoelastic particles in a homogeneous cooling state are studied analytically and numerically. We employ the most recent expression for the velocity-dependent restitution coefficient for colliding…

Statistical Mechanics · Physics 2015-05-14 A. S. Bodrova , N. V. Brilliantov

Quantum fluctuations play a central role in the properties of quantum matter. In non-interacting ensembles, they manifest as fluctuations of non-commuting observables, quantified by Heisenberg inequalities. In the presence of interactions,…

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…

Quantum Gases · Physics 2015-08-27 D. S. Petrov , F. Werner

Atoms with a large scattering length have universal low-energy properties that do not depend on the details of their structure or their interactions at short distances. In the 2-atom sector, the universal properties are familiar and depend…

Other Condensed Matter · Physics 2008-11-26 Eric Braaten , H. -W. Hammer

The variational theorem for the scattering length in the presence of the dipole-dipole interaction is developed. The theorem is applied to the spinless dipolar Bose gas in three dimensions. We calculated analytically the long-range tails of…

Quantum Gases · Physics 2023-03-20 Alexander Yu. Cherny

The energy and structure of dilute hard- and soft-sphere Bose gases are systematically studied in the framework of several many-body approaches, as the variational correlated theory, the Bogoliubov model and the uniform limit approximation,…

Soft Condensed Matter · Physics 2009-11-10 F. Mazzanti , A. Polls , A. Fabrocini

The ground-state correlation properties of a one-dimensional Bose system described by the Lieb-Liniger Hamiltonian are investigated by using exact quantum Monte Carlo techniques. The pair distribution function, static structure factor,…

Condensed Matter · Physics 2009-11-07 G. E. Astrakharchik , S. Giorgini

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

The well-known Bogoliubov expression for the spectrum of a weakly interacting dilute Bose gas becomes inadequate when the density or interactions strength are increased. The corrections to the spectrum due to stronger interactions were…

Other Condensed Matter · Physics 2008-09-10 Shai Ronen

We show that many aspects of ultracold three-body collisions can be controlled by choosing the mass ratio between the collision partners. In the ultracold regime, the scattering length dependence of the three-body rates can be substantially…

Atomic Physics · Physics 2009-11-11 J. P. D'Incao , B. D. Esry

The theory of ultracold, dilute Bose gases is the subject of intensive studies, driven by new experimental applications, which also motivate the study of Bose-Einstein condensation (BEC) in low dimensions. From the theoretical point of view…

Mathematical Physics · Physics 2013-01-09 Serena Cenatiempo

Two-component Fermi and Bose gases with infinitely large interspecies s-wave scattering length $a_s$ exhibit a variety of intriguing properties. Among these are the scale invariance of two-component Fermi gases with equal masses, and the…

Quantum Gases · Physics 2015-05-20 D. Blume , K. M. Daily

We investigate local quantum field theories for one-dimensional (1D) Bose and Fermi gases with contact interactions, which are closely connected with each other by Girardeau's Bose-Fermi mapping. While the Lagrangian for bosons includes…

Quantum Gases · Physics 2021-04-09 Yuta Sekino , Yusuke Nishida