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We develop theory for a flattened dipolar Bose-Einstein condensate (BEC) produced by harmonic confinement along one direction. The role of both short-ranged contact interactions and long-ranged dipole-dipole interactions (DDIs) is…

Quantum Gases · Physics 2015-03-17 D. Baillie , P. B. Blakie

We use the diagrammatic $T$-matrix approach to analyze the three-body scattering problem between two identical fermions and a third particle (which could be a different species of fermion or a boson). We calculate the s-wave dimer-atom…

Quantum Gases · Physics 2015-05-18 M. Iskin

A dilute bose gas in a quasi two-dimensional harmonic trap and interacting with a repulsive two-body zero-range potential of fixed coupling constant is considered. Using the Thomas-Fermi method, it is shown to remain in the same uncondensed…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 R. K. Bhaduri , S. M. Reimann , S. Viefers , A. Ghose Choudhury , M. K. Srivastava

Two-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the…

Statistical Mechanics · Physics 2007-05-23 B. Tanatar , A. Minguzzi , P. Vignolo , and M. P. Tosi

By using the self-consistent Hartree-Fock-Bogoliubov-Popov theory, we present a detailed study of the mean-field stability of spherically trapped Bose-Fermi mixtures at finite temperature. We find that, by increasing the temperature, the…

Statistical Mechanics · Physics 2007-05-23 Xia-Ji Liu , Michele Modugno , Hui Hu

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko

In view of ongoing experiments to trap ultracold spin-polarized $^6$Li, we study various properties of an interacting Fermi gas in a harmonic trap taking the discrete nature of the unperturbed harmonic trap levels into account exactly. As…

Atomic Physics · Physics 2016-09-08 G. M. Bruun , K. Burnett

We study the formation of quantum droplets in the mixture of a single-component Bose-Einstein condensate (BEC), and a two-species Fermi superfluid across a wide Feshbach resonance. With repulsive boson-boson and attractive boson-fermion…

Quantum Gases · Physics 2020-07-07 Jing-Bo Wang , Jian-Song Pan , Xiaoling Cui , Wei Yi

We investigate the collective excitations of a single-species Bose gas at T=0 in a harmonic trap where the confinement undergoes some splitting along one spatial direction. We mostly consider onedimensional potentials consisting of two…

Condensed Matter · Physics 2009-10-31 P. Capuzzi , E. S. Hernandez

We have investigated experimentally the finite-temperature properties of a Bose-Einstein condensed cloud of $^{87}$Rb atoms in a harmonic trap. Focusing primarily on condensed fraction and expansion energy, we measure unambiguous deviations…

Other Condensed Matter · Physics 2007-05-23 Fabrice Gerbier , Joseph H. Thywissen , Simon Richard , Mathilde Hugbart , Philippe Bouyer , Alain Aspect

The self-consistent equations for the order parameters of Bose-Einstein condensation (BEC) of molecules and Bardeen-Cooper-Schrieffer (BCS) condensation of atoms in a Fermi gas of atoms with an attractive two-body interaction between atoms…

Other Condensed Matter · Physics 2007-05-23 Fuxiang Han , Minghao Lei , E Wu

We study Bose-Einstein condensation (BEC) in the Luttinger-Sy model. Here, Bose point particles in one spatial dimension do not interact with each other, but, through a positive (repulsive) point potential with impurities which are randomly…

Mathematical Physics · Physics 2019-02-07 Joachim Kerner , Maximilian Pechmann , Wolfgang Spitzer

A self-consistent model of the superfluid (SF) state of a Bose liquid with strong interaction between bosons is considered, in which at T=0, along with a weak single-particle Bose-Einstein condensate (BEC), there exists an intensive pair…

Soft Condensed Matter · Physics 2007-05-23 E. A. Pashitskii , S. V. Mashkevich , S. I. Vilchynskyy

We study quantum coherence properties of a dilute gas at temperatures above, but not much above the transition temperature of Bose-Einstein condensation (BEC). In such a gas, a small proportion of the atoms may possess coherence lengths…

Quantum Gases · Physics 2014-08-12 Yinbiao Yang , Wen-ge Wang

We review and extend the theory of the dynamics of Bose-Einstein condensation in weakly interacting atomic gases. We present in a unified way both the semiclassical theory as well as the full quantum theory. This is achieved by deriving a…

Statistical Mechanics · Physics 2007-05-23 H. T. C. Stoof

Amplifying on a proposal by O'Dell et al. for the realization of Bose-Einstein condensates of neutral atoms with attractive $1/r$ interaction, we point out that the instance of self-trapping of the condensate, without external trap…

Quantum Physics · Physics 2007-11-07 I. Papadopoulos , P. Wagner , G. Wunner , J. Main

We report results of quantum Monte Carlo calculations of the ground state of dilute Fermi gases with attractive short range two-body interactions. The strength of the interaction is varied to study different pairing regimes which are…

Atomic Physics · Physics 2009-02-05 S. Y. Chang , J. Carlson , V. R. Pandharipande , K. E. Schmidt

Open quantum systems theory is central to describing the dynamics and equilibration of dilute-gas Bose-Einstein condensates (BECs). We present an analysis of the linearized stochastic projected Gross-Pitaevskii equation (SPGPE) describing…

Quantum Gases · Physics 2025-09-11 Nils A. Krause , Ashton S. Bradley

We investigate small equal-mass two-component Fermi gases under external spherically symmetric confinement in which atoms with opposite spins interact through a short-range two-body model potential. We employ a non-perturbative microscopic…

Quantum Gases · Physics 2015-05-19 D. Blume , K. M. Daily

We discuss effects of particle interaction on Bose condensation in inhomogeneous traps with and without optical lattice. Interaction pushes normal particles away from the condensate droplet, which is located in the center of the trap,…

Other Condensed Matter · Physics 2009-11-13 S. Chatterjee , A. E. Meyerovich