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A gas of ultracold $^6$Li atoms (effective spin 1/2) confined to an elongated trap with one-dimensional properties is a candidate to display three different phases: (i) fermions bound in Cooper-pair-like states, (ii) unbound spin-polarized…

Quantum Gases · Physics 2015-05-28 Pedro Schlottmann , Andrei Zvyagin

We consider the possible mechanical instability of an ultracold Fermi gas due to the attractive interactions between fermions of different species. We investigate how the instability, predicted by a mean field calculation for an homogeneous…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 X. Leyronas , R. Combescot

We study the properties of a thermodynamic system having the symmetry of a quantum group and interacting with a harmonic potential. We calculate the dependence of the chemical potential, heat capacity and spatial distribution of the gas on…

Condensed Matter · Physics 2009-10-31 Marcelo R. Ubriaco

We theoretically study the pairing behavior of the unitary Fermi gas in the normal phase. Our analysis is based on the static spin susceptibility, which characterizes the response to an external magnetic field. We obtain this quantity by…

Quantum Gases · Physics 2021-04-28 Lukas Rammelmüller , Yaqi Hou , Joaquín E. Drut , Jens Braun

The wave function of two fermions, repulsively interacting in the presence of a Fermi sea, is evaluated in detail. We consider large but finite systems in order to obtain an unabiguous picture of the two-particle correlations. As recently…

Condensed Matter · Physics 2015-06-25 W. Metzner , C. Castellani

We investigate the low-lying compression modes of a unitary Fermi gas with imbalanced spin populations. For low polarization, the strong coupling between the two spin components leads to a hydrodynamic behavior of the cloud. For large…

We investigate a scale-invariant two-component Fermi gas in a time-dependent isotropic harmonic potential. The exact time evolution of the density distribution in position space in any spatial dimension is obtained. Two experimentally…

Quantum Gases · Physics 2012-07-20 Sergej Moroz

We consider imbalanced Fermi gases with strong attractive interactions, for which Cooper-pair formation plays an important role. The two-component mixtures consist either of identical fermionic atoms in two different hyperfine states, or of…

Quantum Gases · Physics 2015-06-05 K. B. Gubbels , H. T. C. Stoof

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

A many body theory for a two-component system of spin polarized interacting fermions in a one-dimensional harmonic trap is developed. The model considers two different states of the same fermionic species and treats the dominant…

Quantum Physics · Physics 2009-11-07 Gao Xianlong , W. Wonneberger

Spin-changing collisions in trapped Fermi gases may acquire a resonant character due to the compensation of quadratic Zeeman effect and trap energy. These resonances are absent in spinor condensates and pseudo-spin-1/2 Fermi gases, being a…

Other Condensed Matter · Physics 2009-11-13 N. Bornemann , P. Hyllus , L. Santos

Thermal and magnetic effects in a system consisting of thin layers of coupled Ising spins with $S=1/2$ and $S=1$ are considered. The specific heat and the correlation length display maxima at two different temperatures. It is discussed in…

Statistical Mechanics · Physics 2016-08-31 Dragi Karevski , Malte Henkel

Fluctuations of the amplitude of the order parameter govern the properties of superconducting systems close to the critical transition temperature. In the BCS regime we examine the contribution of these pairing fluctuations to the…

Statistical Mechanics · Physics 2009-11-10 Luciano Viverit , Georg M. Bruun , Anna Minguzzi , Rosario Fazio

Based on the recently developed interaction renormalization for the one-dimensional $p$-wave interaction, we study the problem of a single impurity immersed in a highly polarized Fermi sea. They interact through a narrow $p$-wave Feshbach…

Quantum Gases · Physics 2020-07-14 Yinfeng Ma , Xiaoling Cui

We examine the spin asymmetry of ground states for two-dimensional, harmonically trapped two-component gases of fermionic atoms at zero temperature with weakly repulsive short range interactions. Our main result is that, in contrast to the…

Other Condensed Matter · Physics 2007-06-25 M. Ogren , K. Karkkainen , Y. Yu , S. M. Reimann

The one-loop contribution to vacuum polarization is calculated for the adjoint fermions in three dimensional noncommutative spaces, both at zero and finite temperature. At zero temperature, we confirm a previously found result for the…

High Energy Physics - Theory · Physics 2009-11-10 B. Chandrasekhar , Prasanta K. Panigrahi

We analyze the effects of imbalancing the populations of two-component trapped fermions, in the BEC limit of the attractive interaction between different fermions. Starting from the gap equation with two fermionic chemical potentials, we…

Superconductivity · Physics 2007-05-23 P. Pieri , G. C. Strinati

The influence of the finite temperature on the antiferromagnetic (AFM) spin ordering in symmetric nuclear matter with the effective Gogny interaction is studied within the framework of a Fermi liquid formalism. It is shown that the AFM spin…

Nuclear Theory · Physics 2009-11-11 A. A. Isayev

For $N$ spin-polarized fermions with harmonic pair interactions in a $1$-dimensional trap an odd-even effect is found. The spectrum of the $1$-particle reduced density matrix of the system's ground state differs qualitatively for $N$ odd…

Quantum Physics · Physics 2016-02-04 Christian Schilling , Rolf Schilling

We study the ground state and excitations of a one-dimensional trapped polarized Fermi gas interacting with a single impurity. First, we study the tunnelling dynamics of the impurity through a potential barrier, such as one effectively…

Quantum Gases · Physics 2017-12-05 Marek Tylutki , G. E. Astrakharchik , Alessio Recati
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