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In view of ongoing experiments to trap ultracold spin-polarized $^6$Li, we study various properties of an interacting Fermi gas in a harmonic trap taking the discrete nature of the unperturbed harmonic trap levels into account exactly. As…

Atomic Physics · Physics 2016-09-08 G. M. Bruun , K. Burnett

We investigate the dynamical properties of a trapped finite-temperature normal Fermi gas with dipole-dipole interaction. For the free expansion dynamics, we show that the expanded gas always becomes stretched along the direction of the…

Quantum Gases · Physics 2015-05-27 J. -N. Zhang , R. -Z. Qiu , L. He , S. Yi

The unitary Fermi gas serves as a tunable realization of a strongly coupled CFT, making it a powerful system for probing universal quantum many-body phenomena. Precise measurement of its properties remains experimentally challenging:…

Quantum Gases · Physics 2026-05-27 Adèle Le Borgne

In Landau theory of Fermi liquids, the particle-hole interaction near the Fermi energy in different spin-isospin channels is probed in terms of an expansion over the Legendre polynomials. This provides a useful and efficient way to…

Nuclear Theory · Physics 2017-10-27 Andrea Idini , Karim Bennaceur , Jacek Dobaczewski

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

We study some dynamical properties of a Lorentz gas. We have considered both the static and time dependent boundary. For the static case we have shown that the system has a chaotic component characterized with a positive Lyapunov Exponent.…

Chaotic Dynamics · Physics 2015-05-19 Diego F. M. Oliveira , Jürgen Vollmer , Edson D. Leonel

The effect of a unidirectional periodic potential on the orientation of the stripe state is studied for the two-dimensional electron system at half-filled high Landau levels. By considering a quantum well with two electric subbands, it is…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Shi-Jie Yang , Yue Yu

We study the Fermi liquid properties of the cold atomic dipolar Fermi gases with the explicit dipolar anisotropy using perturbative approaches. Due to the explicit dipolar anisotropy, Fermi surfaces exhibit distortions of the…

Quantum Gases · Physics 2010-02-22 Ching-Kit Chan , Congjun Wu , Wei-cheng Lee , S. Das Sarma

We investigate the "twist" mode (rotation of the upper against the lower hemisphere) of a dilute atomic Fermi gas in a spherical trap. The normal and superfluid phases are considered. The linear response to this external perturbation is…

Other Condensed Matter · Physics 2009-11-10 Marcella Grasso , Michael Urban , Xavier Vinas

We use the Bogoliubov-de Gennes formalism to analyze the effects of rotation on the ground state phases of harmonically trapped Fermi gases, under the assumption that quantized vortices are not excited. We find that the rotation breaks…

Superconductivity · Physics 2015-05-13 M. Iskin , E. Tiesinga

Using a scaling transformation we exactly determine the dynamics of an harmonically confined Tonks-Girardeau gas under arbitrary time variations of the trap frequency. We show how during a one-dimensional expansion a ``dynamical…

Statistical Mechanics · Physics 2007-05-23 A. Minguzzi , D. M. Gangardt

The behavior of strongly correlated Fermi systems is investigated beyond the onset of a phase transition where the single-particle spectrum $\xi({\bf p})$ becomes flat. The Landau-Migdal quasiparticle picture is shown to remain applicable…

Strongly Correlated Electrons · Physics 2008-03-27 V. A. Khodel , J. W. Clark , M. V. Zverev

We systematically test a quasi-classical spin model of a large spin-lattice in energy space, with a tunable, reversible Hamiltonian and effective long-range interactions. The system is simulated by a weakly interacting Fermi gas undergoing…

Quantum Gases · Physics 2023-12-04 J. Huang , Camen A. Royse , I. Arakelyan , J. E. Thomas

We consider density-imbalanced Fermi gases of atoms in the strongly interacting, i.e. unitarity, regime. The Bogoliubov-deGennes equations for a trapped superfluid are solved. They take into account the finite size of the system, as well as…

Strongly Correlated Electrons · Physics 2011-08-11 J. Kinnunen , L. M. Jensen , P. Torma

We simulate a balanced attractively interacting two-component Fermi gas in a one-dimensional lattice perturbed with a moving potential well or barrier. Using the time-evolving block decimation method, we study different velocities of the…

Quantum Gases · Physics 2015-11-20 A. -M. Visuri , D. -H. Kim , J. J. Kinnunen , F. Massel , P. Törmä

Using bifurcation theory on a dynamical system simulating the interaction of a particle with an obliquely propagating wave in relativistic regimes, we demonstrate that uniform acceleration arises as a consequence of Hopf bifurcations of…

Plasma Physics · Physics 2012-03-14 A. Osmane , A. M. Hamza

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

While a growing body of research indicates that relativistic magnetic reconnection is a prodigious source of particle acceleration in high-energy astrophysical systems, the dominant acceleration mechanism remains controversial. Using a…

High Energy Astrophysical Phenomena · Physics 2019-07-17 Fan Guo , Xiaocan Li , William Daughton , Patrick Kilian , Hui Li , Yi-Hsin Liu , Wangcheng Yan , Dylan Ma

Highly polarized mixtures of atomic Fermi gases constitute a novel Fermi liquid. We demonstrate how information on thermodynamic properties may be used to calculate quasiparticle scattering amplitudes even when the interaction is resonant…

Statistical Mechanics · Physics 2008-06-19 G. M. Bruun , A. Recati , C. J. Pethick , H. Smith , S. Stringari

For a fast rotating condensate in a harmonic trap, we investigate the structure of the vortex lattice using wave functions minimizing the Gross Pitaveskii energy in the Lowest Landau Level. We find that the minimizer of the energy in the…

Other Condensed Matter · Physics 2009-11-10 Amandine Aftalion , Xavier Blanc , Jean B. Dalibard