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Superconductivity and superfluidity of fermions require, within the BCS theory, matching of the Fermi energies of the two interacting Fermion species. Difference in the number densities of the two species leads either to a normal state, to…

Strongly Correlated Electrons · Physics 2009-11-11 L. M. Jensen , J. Kinnunen , P. Torma

We have investigated collective breathing modes of a unitary Fermi gas in deformed harmonic traps. The ground state is studied by the Superfluid Local Density Approximation (SLDA) and small-amplitude collective modes are studied by the…

Quantum Gases · Physics 2019-11-20 Na Fei , Junchen Pei , Kai Wang , M. Kortelainen

We study the ground--state shell correction energy of a fermionic gas in a mean--field approximation. Considering the particular case of 3D harmonic trapping potentials, we show the rich variety of different behaviors (erratic, regular,…

Nuclear Theory · Physics 2008-11-26 Jérôme Roccia , Patricio Leboeuf

Using two different numerical methods, we study the behavior of two-component Fermi gases interacting through short-range s-wave interactions in a harmonic trap. A correlated Gaussian basis-set expansion technique is used to determine the…

Other Condensed Matter · Physics 2009-11-13 J. von Stecher , Chris H. Greene , D. Blume

We analyze a trapping reaction with a single penetrable trap, in a one dimensional lattice, where both species (particles and trap) are mobile and have a drift velocity. We obtain the density as seen from a reference system attached to the…

Condensed Matter · Physics 2009-10-31 Alejandro D. Sanchez

We present a theoretical study of the collective excitations of a trapped imbalanced fermion gas at unitarity, when the system consists of a superfluid core and a normal outer shell. We formulate the relevant boundary conditions and treat…

Other Condensed Matter · Physics 2008-04-08 Achilleas Lazarides , Bert Van Schaeybroeck

Two species superfluid Fermi gas is investigated on the BCS side up to the Feshbach resonance. Using the Greens's function technique gradient corrections are calculated to the generalized Thomas-Fermi theory including Cooper pairing. Their…

Quantum Gases · Physics 2011-01-20 András Csordás. Orsolya Almásy , Péter Szépfalusy

We report on the fast production and weakly destructive detection of a Fermi gas with tunable interactions in a high finesse cavity. The cavity is used both with far off-resonant light to create a deep optical dipole trap, and with…

Quantum Gases · Physics 2021-05-26 Kevin Roux , Victor Helson , Hideki Konishi , Jean-Philippe Brantut

We investigate the dynamical properties of a superfluid gas of trapped fermionic atoms in the BCS phase. As a simple example we consider the reaction of the gas to a slow rotation of the trap. It is shown that the currents generated by the…

Other Condensed Matter · Physics 2009-11-10 Michael Urban

We discuss the ground state and the small-amplitude excitations of a degenerate vapour of fermionic atoms placed in two hyperfine states inside a spherical harmonic trap. An equations-of-motion approach is set up to discuss the hydrodynamic…

Statistical Mechanics · Physics 2009-10-31 M. Amoruso , I. Meccoli , A. Minguzzi , M. P. Tosi

Diffusion in the crowded environments of the biological membranes or materials interfaces often involves intermittent binding to surface proteins or defects. To account for this situation we study a 2-dimensional lattice gas in a field of…

Soft Condensed Matter · Physics 2021-06-25 Mislav Cvitković , Dipanwita Ghanti , Niklas Raake , Ana-Sunčana Smith

This paper deals with a detail study of gravitational collapse of dust and viscous fluids under the assumptions of spherical symmetry. Our main goal is to closely analyze the horizons which arise during this gravitational phenomenon. To…

General Relativity and Quantum Cosmology · Physics 2020-09-23 Ayan Chatterjee , Amit Ghosh , Suresh Jaryal

Fermionic atoms in two different hyperfine states confined in optical lattices show strong commensurability effects due to the interplay between the atomic density wave (ADW) ordering and the lattice potential. We show that spatially…

Strongly Correlated Electrons · Physics 2009-11-13 Rafael A. Molina , Jorge Dukelsky , Peter Schmitteckert

The hydrodynamic low-frequency oscillations of highly degenerate Fermi gases trapped in anisotropic harmonic potentials are investigated. Despite the lack of an obvious spatial symmetry the wave-equation turns out to be separable in…

Soft Condensed Matter · Physics 2009-10-31 András Csordás , Robert Graham

We investigate the formation of trapped surfaces in cosmological spacetimes, using constant mean curvature slicing. Quantitative criteria for the formation of trapped surfaces demonstrate that cosmological regions enclosed by trapped…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Edward Malec , Niall Ó Murchadha

We calculate the density profiles of a trapped spin-imbalanced Fermi gas with attractive interactions in a one-dimensional optical lattice, using both the local density approximation (LDA) and density matrix renormalization group (DMRG)…

Quantum Gases · Physics 2010-05-07 F. Heidrich-Meisner , G. Orso , A. Feiguin

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

We develop a consistent formalism in order to explore the effects of density and spin fluctuations on the quasi-particle properties and on the pairing critical temperature of a trapped Fermi gas on the attractive side of a Feshbach…

Statistical Mechanics · Physics 2009-11-10 Luca Giorgetti , Luciano Viverit , Giorgio Gori , Francisco Barranco , Enrico Vigezzi , Ricardo A. Broglia

We investigate pseudogap phenomena in the unitarity limit of a trapped superfluid Fermi gas. Including effect of strong pairing fluctuations within a $T$-matrix approximation, as well as effects of a harmonic trap within the local density…

Quantum Gases · Physics 2015-05-28 Ryota Watanabe , Shunji Tsuchiya , Yoji Ohashi

We consider the low energy collective mode spectrum of a superfluid Fermi gas in a spherical trap in the collisionless regime. Using a self-consistent random-phase approximation, the effects of superfluidity on modes of dipole and…

Condensed Matter · Physics 2009-11-07 G. M. Bruun , B. R. Mottelson