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We study the effect of the rotation on a harmonically trapped Fermi gas at zero temperature under the assumption that vortices are not formed. We show that at unitarity the rotation produces a phase separation between a non rotating…

Soft Condensed Matter · Physics 2008-02-22 I. Bausmerth , A. Recati , S. Stringari

By combining methods from thermal field theory and statistical mechanics, we reexamine the spin polarization caused by the relativistic Barnett effect in a rigidly rotating Fermi gas. We determine the pressure of this medium and show that…

Nuclear Theory · Physics 2026-04-09 M. Abedlou Ahadi , N. Sadooghi

We present a theoretical interpretation of a recent experiment presented in ref. \cite{Zwierlein06} on the density profile of Fermi gases with unbalanced spin populations. We show that in the regime of strong interaction, the boundaries of…

Statistical Mechanics · Physics 2016-08-16 Frédéric Chevy

Although recent theoretical and experimental progress have considerably clarified pairing mechanisms in spin 1/2 fermionic superfluid with equally populated internal states, many open questions remain when the two spin populations are…

Statistical Mechanics · Physics 2016-08-14 Frédéric Chevy

We study equilibrium density and spin density profiles for a model of cold one-dimensional spin 1/2 fermions interacting via inverse square interaction and exchange in an external harmonic trap. This model is the well-known spin-Calogero…

Quantum Gases · Physics 2011-02-01 M. Kulkarni , A. G. Abanov

We obtain the phase diagram of spin-imbalanced interacting Fermi gases from measurements of density profiles of $^6$Li atoms in a harmonic trap. These results agree with, and extend, previous experimental measurements. Measurements of the…

Atomic Physics · Physics 2015-12-16 Ben A. Olsen , Melissa C. Revelle , Jacob A. Fry , Daniel E. Sheehy , Randall G. Hulet

We investigate the phase structure of spin-imbalanced unitary Fermi gases beyond mean-field theory by means of the Functional Renormalization Group. In this approach, quantum and thermal fluctuations are resolved in a systematic manner. The…

Quantum Gases · Physics 2015-01-26 I. Boettcher , J. Braun , T. K. Herbst , J. M. Pawlowski , D. Roscher , C. Wetterich

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…

Motivated by the recent success of optical trapping of alkali bosons, we have studied the zeroth sound modes of dilute Fermi gases with arbitrary spin-f, which are spin-S excitations ($0\leq S\leq 2f$). The dispersion of the mode (S)…

Condensed Matter · Physics 2007-05-23 S-K. Yip , Tin-Lun , Ho

We present the results of a variational calculation of the frequencies of the low-lying Landau two-fluid hydrodynamic modes in a trapped Fermi superfluid gas at unitarity. Landau's two-fluid hydrodynamics is expected to be the correct…

Other Condensed Matter · Physics 2008-12-12 Edward Taylor , Hui Hu , Xia-Ji Liu , Allan Griffin

We generalize the Nozi\'eres-Schmitt-Rink (NSR) method to study the repulsive Fermi gas in the absence of molecule formation, i.e., in the so-called "upper branch". We find that the system remains stable except close to resonance at…

Quantum Gases · Physics 2011-11-16 Vijay B. Shenoy , Tin-Lun Ho

Landau's theory of Fermi liquids is generalized by incorporating the de Broglie waves diffraction. A newly derived kinetic equation of the Fermi particles is used to derive a general dispersion relation and the excitation of zero sound is…

Quantum Physics · Physics 2010-06-04 Nodar L. Tsintsadze , Levan N. Tsintsadze

We have observed phase separation between the superfluid and the normal component in a strongly interacting Fermi gas with imbalanced spin populations. The in situ distribution of the density difference between two trapped spin components…

Statistical Mechanics · Physics 2009-11-11 Y. Shin , M. W. Zwierlein , C. H. Schunck , A. Schirotzek , W. Ketterle

We investigate the phase diagram of asymmetric two-component Fermi gases at zero temperature as a function of polarization and interaction strength. The equations of state of the uniform superfluid and normal phase are determined using…

Other Condensed Matter · Physics 2013-08-09 S. Pilati , S. Giorgini

We consider the response of the density of a fermion ensemble to an applied weak static magnetic field. It is known that for non-interacting Fermi gas, this response is fully characterized by the Fermi volume and the Berry curvature on the…

Strongly Correlated Electrons · Physics 2017-09-06 Jing-Yuan Chen

We present analytical expressions and numerical illustrations for the ground-state density distribution of an ideal gas of spin-polarized fermions moving in two dimensions and driven to rotate in a harmonic well of circular or elliptical…

Other Condensed Matter · Physics 2009-11-11 Z. Akdeniz , P. Vignolo , M. P. Tosi

We study the spin-mixing dynamics of a one-dimensional strongly repulsive Fermi gas under harmonic confinement. By employing a mapping onto an inhomogeneous isotropic Heisenberg model and the symmetries under particle exchange, we follow…

Quantum Gases · Physics 2022-06-15 Giovanni Pecci , Patrizia Vignolo , Anna Minguzzi

A dilute homogeneous 3D Fermi gas in the ground state is considered for the case of a repulsive pairwise interaction. The low-density (dilution) expansions for the kinetic and interaction energies of the system in question are calculated up…

Statistical Mechanics · Physics 2009-11-10 A. A. Shanenko

Spin susceptibility of a clean Fermi gas with repulsion in any dimension is considered using a supersymmetric low energy theory of interacting spin excitations and renormalization scheme recently proposed by Aleiner and Efetov…

Strongly Correlated Electrons · Physics 2009-11-11 G. Schwiete , K. B. Efetov

We study the response of a single-component pair-correlated baryonic Fermi-liquid to density, spin, and their current perturbations. A complete set of response functions is derived in the low-temperature regime both within an effective…

Nuclear Theory · Physics 2013-04-25 Jochen Keller , Armen Sedrakian