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The interacting symplectic fermion model in two spatial dimensions is further analyzed. As an effective low energy theory, the model is unitary. We show that a relativistic mass m is dynamically generated and derive a gap equation for it.…

Strongly Correlated Electrons · Physics 2009-03-29 Eliot Kapit , André LeClair

We compute the phase diagram of strongly interacting fermions in one dimension at finite temperature, with mass and spin imbalance. By including the possibility of the existence of a spatially inhomogeneous ground state, we find regions…

Quantum Gases · Physics 2015-06-17 Dietrich Roscher , Jens Braun , Joaquín E. Drut

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

Ultracold atomic Fermi gases present an opportunity to study strongly interacting Fermi systems in a controlled and uncomplicated setting. The ability to tune attractive interactions has led to the discovery of superfluidity in these…

Quantum Gases · Physics 2010-07-29 J. P. Gaebler , J. T. Stewart , T. E. Drake , D. S. Jin , A. Perali , P. Pieri , G. C. Strinati

Based on the integrable Gaudin model and local density approximation, we discuss the phase structure of one-dimensional trapped Fermi gases with imbalanced spin populations for arbitrary attractive interactions. A phase separation state,…

Superconductivity · Physics 2007-05-23 Hui Hu , Xia-Ji Liu , Peter D. Drummond

We model the one-dimension (1D) to three-dimension (3D) crossover in a cylindrically trapped Fermi gas with attractive interactions and spin-imbalance. We calculate the mean-field phase diagram, and study the relative stability of exotic…

Quantum Gases · Physics 2016-12-22 Shovan Dutta , Erich J. Mueller

We present a theoretical analysis of phase separations between two repulsively interacting components in an ultracold fermionic gas, occurring at the dimensional crossover in a harmonic trap with varying aspect ratios. A tailored kinetic…

Dynamical fermionization refers to the phenomenon in Tonks-Girardeau (TG) gases where, upon release from harmonic confinement, the gas's momentum density profile evolves asymptotically to that of an ideal Fermi gas in the initial trap. This…

Quantum Gases · Physics 2021-07-14 Shah Saad Alam , Timothy Skaras , Li Yang , Han Pu

The pair-condensed unpolarized spin-$1/2$ Fermi gases have a collective excitation branch in their pair-breaking continuum (V.A. Andrianov, V.N. Popov, 1976). We study it at zero temperature, with the eigenenergy equation deduced from the…

Quantum Gases · Physics 2020-09-02 Yvan Castin , Hadrien Kurkjian

Thermodynamics is derived rigorously for the 1D supersymmetric {\it t-J} model and its SU($K,1$) generalization with inverse-square exchange. The system at low temperature is described in terms of spinons, antispinons, holons and antiholons…

Condensed Matter · Physics 2009-10-28 Yoshio Kuramoto , Yusuke Kato

We investigate the temperature dependence of the shear viscosity and spin diffusion in a two-dimensional Fermi gas with contact interactions, as realized in ultra-cold atomic gases. We describe the transport coefficients in terms of a…

Quantum Gases · Physics 2012-07-16 Tilman Enss , Carolin Küppersbusch , Lars Fritz

We study the role of particle transport and evaporation on the phase separation of an ultracold, spin-polarized atomic Fermi gas. We show that the previously observed deformation of the superfluid paired core is a result of evaporative…

Atomic Physics · Physics 2011-09-29 Y. A. Liao , M. Revelle , T. Paprotta , A. S. C. Rittner , Wenhui Li , G. B. Partridge , R. G. Hulet

We calculate the nonequilibrium dynamic evolution of a one-dimensional system of two-component fermionic atoms after a strong local quench by using a time-dependent spin-density-functional theory. The interaction quench is also considered…

Strongly Correlated Electrons · Physics 2015-05-27 Gao Xianlong

We study the stability region of the topological superfluid phase in a trapped two-dimensional polarized Fermi gas with spin-orbit coupling and across a BCS-BEC crossover. Due to the competition between polarization, pairing interaction and…

Quantum Gases · Physics 2015-03-19 J. Zhou , W. Zhang , W. Yi

In strongly correlated materials, interacting electrons are entangled and form collective quantum states, resulting in rich low-temperature phase diagrams. Notable examples include cuprate superconductors, in which superconductivity emerges…

We discuss a recent bosonization method developed to study clean Fermi gases with a repulsion in any dimensions. The method enables one to consider both density and spin excitations. It is demonstrated that due to a non-abelian structure of…

Strongly Correlated Electrons · Physics 2009-11-11 K. B. Efetov , I. L. Aleiner

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic semiclassical approximations, we address the…

Strongly interacting, dilute Fermi gases exhibit a scale-invariant, universal thermodynamic behaviour. This is notoriously difficult to understand theoretically because of the absence of a small interaction parameter. Here we present a…

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

Quasiparticle properties are explored in an effective theory of the $t-J$ model which includes two important components: spin-charge separation and unrenormalizable phase shift. We show that the phase shift effect indeed causes the system…

Strongly Correlated Electrons · Physics 2009-10-31 Z. Y. Weng , D. N. Sheng , C. S. Ting

The dynamics of a particle coupled to a dense and homogeneous ideal Fermi gas in two spatial dimensions is studied. We analyze the model for coupling parameter g=1 (i.e., not in the weak coupling regime), and prove closeness of the time…

Mathematical Physics · Physics 2019-10-08 Maximilian Jeblick , David Mitrouskas , Sören Petrat , Peter Pickl
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