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We prove the equivalence between the hard-sphere Bose gas and a system with momentum-dependent zero-range interactions in one spatial dimension, which we call extended hard-sphere Bose gas. The two-body interaction in the latter model has…

Quantum Gases · Physics 2012-04-16 Manuel Valiente

We theoretically examine equilibrium properties of the harmonically trapped ideal Bose and Fermi gases in the quantum degeneracy regime. We analyze thermodynamic characteristics of gases with a finite number of atoms by means of the known…

Quantum Gases · Physics 2021-12-06 Valeriia Bilokon , Elvira Bilokon , Alexander Peletminskii , Andrii Sotnikov

Recent experiments with degenerate molecular gases dressed by elliptically polarized microwave fields have enabled new control of dipolar interactions via engineered anisotropy. We reveal a symmetry structure of the dipolar interaction that…

Quantum Gases · Physics 2025-10-13 D. Baillie

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the…

Quantum Gases · Physics 2010-04-20 J. -N. Zhang , S. Yi

We consider a fully polarized ultracold Fermi gas interacting through a p-wave Feshbach resonance. Using a two-channel model, we find the effective potential at the point where the p-wave scattering length goes to zero. Here the effective…

Quantum Gases · Physics 2010-05-11 N. T. Zinner

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich

We discuss pair interatomic collisions in a Bose gas tightly confined in one (axial) direction and identify two regimes of scattering. In the quasi2D regime, where the confinement frequency $\omega_0$ greatly exceeds the gas temperature…

Statistical Mechanics · Physics 2009-10-31 D. S. Petrov , G. V. Shlyapnikov

We discuss in detail properties of trapped atomic condensates with anisotropic dipole interactions. A practical procedure for constructing anisotropic low energy pseudo potentials is proposed and justified by the agreement with results of…

Condensed Matter · Physics 2009-10-31 S. Yi , L. You

We theoretically study the normal phase properties of strongly interacting two-component Fermi gases in two spatial dimensions. In the limit of weak attraction, we find that the gas can be described in terms of effective polarons. As the…

Quantum Gases · Physics 2012-08-07 Ville Pietilä

We derive rigorous one- and two-dimensional mean-field equations for cigar- and pancake-shaped dipolar Bose-Einstein condensates with arbitrary polarization angle. We show how the dipolar interaction modifies the contact interaction of the…

Quantum Gases · Physics 2010-10-28 Yongyong Cai , Matthias Rosenkranz , Zhen Lei , Weizhu Bao

We study the interplay between the long- and short-range interaction of a one-dimensional optical lattice system of two-component dipolar fermions by using the density matrix renormalization group method. The atomic density profile,…

Quantum Gases · Physics 2018-08-29 Xingbo Wei , Chao Gao , Reza Asgari , Pei Wang , Gao Xianlong

We study the properties of a spin-polarized Fermi gas in a harmonic trap, using the semiclassical (Thomas-Fermi) approximation. Universal forms for the spatial and momentum distributions are calculated, and the results compared with the…

Quantum Physics · Physics 2009-10-30 D. A. Butts , D. S. Rokhsar

We investigate the ground-state properties of ultracold two-component Fermi gases in the presence of a transverse harmonic potential, focusing on the strongly interacting regime in which pairs of fermions form tightly bound molecules. Using…

Quantum Gases · Physics 2025-12-11 Giovanni Midei , Jordi Boronat , Grigory E. Astrakharchik

We consider population-imbalanced two-component Fermi gases under external harmonic confinement interacting through short-range two-body potentials with diverging s-wave scattering length. Using the fixed-node diffusion Monte Carlo method,…

Other Condensed Matter · Physics 2009-11-13 D. Blume

We have identified the unscreened Froehlich electron-phonon interaction (EPI) as the most essential for pairing in cuprate superconductors as now confirmed by isotope substitution, recent angle-resolved photoemission (ARPES), and some other…

Superconductivity · Physics 2011-11-09 A. S. Alexandrov

We study a two-dimensional two-component Fermi gas with attractive or repulsive short-range interactions at zero temperature. We use Diffusion Monte Carlo with Fixed Node approximation in order to calculate the energy per particle and the…

Quantum Gases · Physics 2013-03-18 Gianluca Bertaina

We develop finite temperature theory for a trapped dipolar Bose gas including thermal exchange interactions. Previous treatments neglected these, difficult to compute, terms. We present a methodology for numerically evaluating the thermal…

Quantum Gases · Physics 2015-06-11 S. C. Cormack , D. A. W. Hutchinson

Ultra-cold atomic systems provide a new setting where to investigate the role of long-range interactions. In this paper we will review the basics features of those physical systems, in particular focusing on the case of Chromium atoms. On…

Other Condensed Matter · Physics 2009-11-13 C. Menotti , M. Lewenstein , T. Lahaye , T. Pfau

We theoretically investigate a polarized dipolar Fermi gas in free expansion. The inter-particle dipolar interaction deforms phase-space distribution in trap and also in the expansion. We exactly predict the minimal quadrupole deformation…

Quantum Gases · Physics 2011-12-13 Takushi Nishimura , Tomoyuki Maruyama

We consider an atomic Fermi gas confined in a uniform optical lattice potential, where the atoms can pair into molecules via a magnetic field controlled narrow Feshbach resonance. The phase diagram of the resulting atom-molecule mixture in…

Other Condensed Matter · Physics 2009-07-20 O. Soe Sorensen , N. Nygaard , P. B. Blakie