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We develop a quantitative analytic theory that accurately describes the odd-even effect observed experimentally in a one-dimensional, trapped Fermi gas with a small number of particles [G. Z\"urn et al., Phys. Rev. Lett. 111, 175302…

Quantum Gases · Physics 2016-06-22 Johannes Hofmann , Alejandro M. Lobos , Victor Galitski

The crossover from a BEC (Bose-Einstein condensation) to a BCS (Bardeen-Cooper-Schrieffer) superfluid in dilute gases of ultracold Fermi atoms creates an ideal environment to enrich our knowledge of strongly correlated many-body systems.…

Quantum Gases · Physics 2010-08-25 Hui Hu , Xia-Ji Liu , Peter D. Drummond , Hui Dong

We study the effects of induced interactions on the pairing gap, transition temperature and chemical potential of a quasi-two dimensional Fermi gas of atoms with spin-orbit coupling. We find that these mean-field parameters are…

Quantum Gases · Physics 2015-12-15 H. Caldas , R. L. S. Farias , M. Continentino

A spin-imbalanced Fermi gas with an attractive contact interaction forms a superconducting state whose underlying components are superpositions of Cooper pairs that share minority-spin fermions. This superconducting state includes…

Superconductivity · Physics 2019-07-09 Darryl Foo , Thomas Whitehead , Gareth Conduit

Various quantities of an attractively interacting fermion system at the unitary limit are determined by extrapolating Monte Carlo results of low-density neutron matter. Smooth extrapolation in terms of $1/(k_F a_0)$ ($k_F$ is the Fermi…

Nuclear Theory · Physics 2009-11-25 T. Abe , R. Seki

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

We investigate the inhomogeneous unitary Fermi gas and use the long-wavelength properties to predict the energies of small clusters of unitary fermions trapped in harmonic potentials. The large pairing gap and scale invariance place severe…

Quantum Gases · Physics 2015-06-22 J. Carlson , S. Gandolfi

Recent experimental advances in ultra-cold Fermi gases allow for exploring response functions under different dynamical conditions. In particular, the issue of obtaining a "quasi-repulsive" regime starting from a Fermi gas with an…

Quantum Gases · Physics 2012-02-27 F. Palestini , P. Pieri , G. C. Strinati

We observe collective oscillations of a trapped, degenerate Fermi gas of $^6$Li atoms at a magnetic field just above a Feshbach resonance, where the two-body physics does not support a bound state. The gas exhibits a radial breathing mode…

Soft Condensed Matter · Physics 2009-11-10 J. Kinast , S. L. Hemmer , M. E. Gehm , A. Turlapov , J. E. Thomas

The pairing and superfluid phenomena in a two-component ultracold atomic Fermi gas is an analogue of Cooper pairing and superconductivity in an electron system, in particular, the high $T_c$ superconductors. Owing to the various tunable…

Quantum Gases · Physics 2014-09-30 Qijin Chen , Jibiao Wang

We report calculations of equation of state of a model system, representative for a cold Fermi gas, of particles interacting via the P\"oschl-Teller interaction. In successively more sophisticated calculations, we determine the importance…

Quantum Gases · Physics 2019-01-30 Hsuan-Hao Fan , E. Krotscheck

We study a two-dimensional Fermi gas with an attractive interaction subjected to synthetic magnetic fields assumed to be mutually antiparallel for two different spin components. By employing the mean-field approximation, we find that its…

Quantum Gases · Physics 2017-05-31 Takaaki Anzai , Yusuke Nishida

We investigate the superfluid transition temperature of quasi-two-dimensional imbalanced Fermi gases beyond the mean-field approximation, through the second-order (or induced) interaction effects. For a balanced Fermi system the transition…

Quantum Gases · Physics 2015-06-11 M. A. Resende , A. L. Mota , R. L. S. Farias , Heron Caldas

We study the system of trapped two-component Fermi gases with zero-range interaction in two dimensions (2D) or one dimension (1D). We calculate the one-particle density matrices of these systems at small displacements, from which we show…

Quantum Gases · Physics 2024-02-08 Jiansen Zhang , Shina Tan

Many-body effects on superfluidity and transition temperatures are calculated for optical lattices and uniform systems with ultracold multi-component Fermi gases. The induced interactions depend sensitively on the interactions between the…

Superconductivity · Physics 2009-10-21 H. Heiselberg

Ultracold quantum gases of equal spin fermions with short range interactions are often considered free even in the presence of strongly binding spin-up-spin-down pairs. We describe a large class of many-particle Schr\"odinger operators with…

Mathematical Physics · Physics 2023-01-02 Marcel Griesemer , Michael Hofacker

Understanding the formation of Cooper pairs and the resulting thermodynamic properties of a low-dimensional Fermi gas is an important area of research, elucidating our understanding of high temperature superconductors. In lower dimensions…

Quantum Gases · Physics 2016-02-16 Brendan C. Mulkerin , Kristian Fenech , Paul Dyke , Chris J. Vale , Xia-Ji Liu , Hui Hu

We present a detailed theoretical study of light scattering off superfluid trapped Fermi gas of atoms at zero temperature. We apply Nambu-Gorkov formalism of superconductivity to calculate the response function of superfluid gas due to…

Other Condensed Matter · Physics 2007-05-23 Bimalendu Deb

We consider the two-dimensional Fermi gas at finite temperature with attractive short-range interactions. Using the virial expansion, which provides a controlled approach at high temperatures, we determine the spectral function and contact…

Quantum Gases · Physics 2014-01-08 V. Ngampruetikorn , J. Levinsen , Meera M. Parish

We investigate the ground state properties of a one-dimensional two-component ultra-cold Fermi gas in an infinite potential well. Exact Bethe ansatz solution is used to calculate the many-body wave function of the system. Then we evaluate…

Statistical Mechanics · Physics 2008-07-15 Bo-Bo Wei , Jun-Peng Cao , Shi-Jian Gu , Hai-Qing Lin