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We investigate the density profiles of a partially polarized trapped Fermi gas in the BCS-BEC crossover region using mean field theory within the local density approximation. Within this approximation the gas is phase separated into…

Other Condensed Matter · Physics 2007-05-23 Theja N. De Silva , Erich J. Mueller

We study fermionic pairing in an ultracold two-component gas of $^6$Li atoms by observing an energy gap in the radio-frequency excitation spectra. With control of the two-body interactions via a Feshbach resonance we demonstrate the…

Superconductivity · Physics 2007-05-23 C. Chin , M. Bartenstein A. Altmeyer , S. Riedl , S. Jochim , J. Hecker Denschlag , R. Grimm

We observe many-body pairing in a two-dimensional gas of ultracold fermionic atoms at temperatures far above the critical temperature for superfluidity. For this, we use spatially resolved radio-frequency spectroscopy to measure pairing…

Finite fermion systems are known to exhibit shell structure in the weakly-interacting regime, as well known from atoms, nuclei, metallic clusters or even quantum dots in two dimensions. All these systems have in common that the particle…

Quantum Gases · Physics 2020-11-11 J. Bengtsson , G. Eriksson , J. Josefi , J. C. Cremon , S. M. Reimann

We study ultracold fermionic atoms trapped in an optical lattice with harmonic confinement by combining the real-space dynamical mean-field theory with a two-site impurity solver. By calculating the local particle density and the pair…

Superconductivity · Physics 2009-11-13 Akihisa Koga , Takuji Higashiyama , Kensuke Inaba , Seiichiro Suga , Norio Kawakami

A theoretical description of shell structure for charged particles in a harmonic trap is explored at strong coupling conditions of $\Gamma$ = 50 and 100. The theory is based on an extension of the hypernetted chain approximation to confined…

Statistical Mechanics · Physics 2015-05-14 J. Wrighton , J. W. Dufty , M. Bonitz , H. Kählert

Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound…

Superconductivity · Physics 2009-11-13 Xia-Ji Liu , Hui Hu , Peter D. Drummond

A two-component Fermi gas with attractive s-wave interactions forms a superfluid at low temperatures. When this gas is confined in a rotating trap, fermions can unpair at the edges of the gas and vortices can arise beyond certain critical…

Quantum Gases · Physics 2011-08-11 Harmen J. Warringa , Armen Sedrakian

Ultracold atomic gases and low-density neutron matter are unique in that they exhibit pairing gaps comparable to the Fermi energy which in this sense are the largest in the laboratory and in nature, respectively. This strong pairing regime,…

Nuclear Theory · Physics 2017-08-23 J. Carlson , S. Gandolfi , A. Gezerlis

We study density profiles in trapped fermionic gases, near Feshbach resonances, at all $T \leq T_c$ and in the near-BEC and unitary regimes. For the latter, we quantify and characterize the generally neglected contribution from noncondensed…

Statistical Mechanics · Physics 2011-09-13 Jelena Stajic , Qijin Chen , Kathryn Levin

In cold atoms and in the crust of neutron stars the pairing gap can reach values comparable with the Fermi energy. While in nuclei the neutron gap is smaller, it is still of the order of a few percent of the Fermi energy. The pairing…

Nuclear Theory · Physics 2021-12-28 Aurel Bulgac

Closed form analytic expressions are derived for the density profile of a harmonically trapped noninteracting Fermi gas in $d$ dimensions. Shell structure effects are included to leading order in 1/N, where $N$ is the number of particles.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Erich J. Mueller

We investigate the harmonically trapped 2D fermionic systems with a effective spin-orbit coupling and intrinsic s-wave superfluidity under the local density approximation, and find that there is a critical value for Zeeman field. When the…

Other Condensed Matter · Physics 2012-03-07 Xiaosen Yang , Shaolong Wan

Physical properties of an ultracold Fermi gas in the temperature-coupling phase diagram can be characterized by the contact intensity C, which enters the pair-correlation function at short distances and describes how the two-body problem…

Quantum Gases · Physics 2010-09-02 F. Palestini , A. Perali , P. Pieri , G. C. Strinati

Strong evidence for pairing and superfluidity has recently been found in atomic Fermi gases at the BCS-BEC crossover both in collective modes and RF excitation energies. It is argued that the scale for the effective pairing gaps measured in…

Superconductivity · Physics 2009-11-10 H. Heiselberg

Within the context of Hartree-Fock-Bogoliubov theory, we study the behavior of superfluid Fermi systems when they pass from a small to a large container. Such systems can be now realized thanks to recent progress in experimental techniques.…

Quantum Gases · Physics 2014-11-06 A. Pastore , P. Schuck , M. Urban , X. Viñas , J. Margueron

We theoretically investigate an ultracold spin-polarized atomic Fermi gas with resonant odd-channel ($p$-wave) interactions trapped in one-dimensional harmonic traps. We solve the Yang-Yang thermodynamic equations based on the exact Bethe…

Quantum Gases · Physics 2024-08-26 Xiao-Long Chen , Xia-Ji Liu , Hui Hu

The physics of a two-component cold fermi gas is now frequently addressed in laboratories. Usually this is done for large samples of tens to hundreds of thousands of particles. However, it is now possible to produce few-body systems (1-100…

Nuclear Theory · Physics 2014-08-15 C. Özen , N. T. Zinner

We develop a Green's function method to evaluate the exact equilibrium particle-density profiles of noninteracting Fermi gases in external harmonic confinement in any spatial dimension and for arbitrary trap anisotropy. While in a…

Statistical Mechanics · Physics 2009-11-07 Patrizia Vignolo , Anna Minguzzi

We investigate two-component attractive Fermi gases with imbalanced spin populations in trapped one dimensional configurations. The ground state properties are determined within local density approximation, starting from the exact…

Other Condensed Matter · Physics 2015-06-25 G. Orso