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We study heat transport in a gas of one-dimensional fermions in the presence of a small temperature gradient. At temperatures well below the Fermi energy there are two types of relaxation processes in this system, with dramatically…

Mesoscale and Nanoscale Physics · Physics 2019-05-08 K. A. Matveev , Zoran Ristivojevic

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 study a trapped two-dimensional spin-imbalanced Fermi gas over a range of temperatures. In the moderate temperature regime, associated with current experiments, we find reasonable semi-quantitative agreement with the measured density…

Quantum Gases · Physics 2016-09-09 Chien-Te Wu , Brandon M. Anderson , Rufus Boyack , K. Levin

A fundamental question in many-body physics is how closed quantum systems reach equilibrium. We address this question experimentally and theoretically in an ultracold large-spin Fermi gas where we find a complex interplay between internal…

In this work, we study the dynamics of an atomic harmonically trapped large-spin Fermi gas in one dimension (1D). We investigate the interplay of different collision processes. Coherent spin oscillations, driven by spin-changing forward…

Quantum Gases · Physics 2016-12-13 Ulrich Ebling , André Eckardt

We calculate the spin-drag relaxation rate for a two-component ultracold atomic Fermi gas with positive scattering length between the two spin components. In one dimension we find that it vanishes linearly with temperature. In three…

Quantum Gases · Physics 2011-05-05 R. A. Duine , Marco Polini , Arnaud Raoux , H. T. C. Stoof , G. Vignale

Motivated by cold-atom experiments and a desire to understand far-from-equilibrium quantum transport, we analytically study the dynamics of spin helices in the one-dimensional $XX$ model. We use a Jordan-Wigner transformation to map the…

Strongly Correlated Electrons · Physics 2022-10-21 Darren Pereira , Erich J. Mueller

Interacting fermions are ubiquitous in nature and understanding their thermodynamics is an important problem. We measure the equation of state of a two-component ultracold Fermi gas for a wide range of interaction strengths at low…

Quantum Gases · Physics 2010-06-03 Nir Navon , Sylvain Nascimbène , Frédéric Chevy , Christophe Salomon

We study spin-1/2 fermions, interacting via a two-body contact potential, in a one-dimensional harmonic trap. Applying exact diagonalization, we investigate their behavior at finite interaction strength, and discuss the role of the…

Quantum Physics · Physics 2013-09-09 Tomasz Sowiński , Tobias Grass , Omjyoti Dutta , Maciej Lewenstein

We propose a method to study the degeneracy of a trapped atomic gas of fermions through the relaxation of the motion of a test particle. In the degenerate regime, and for an energy of the test particle well below the Fermi energy, we show…

Statistical Mechanics · Physics 2009-10-31 Gabriele Ferrari

We study the transport properties of a one-dimensional spinful Fermi gas, after junction of two semi-infinite sub-systems held at different temperatures. The ensuing dynamics is studied by analysing the space-time profiles of local…

Quantum Gases · Physics 2019-01-18 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We study the viscous properties of a system of weakly interacting spin-$\frac{1}{2}$ fermions in one dimension. Accounting for the effect of interactions on the quasiparticle energy spectrum, we obtain the bulk viscosity of this system at…

Quantum Gases · Physics 2020-08-14 Wade DeGottardi , K. A. Matveev

Understanding the quantum dynamics of strongly interacting fermions is a problem relevant to diverse forms of matter, including high-temperature superconductors, neutron stars, and quark-gluon plasma. An appealing benchmark is offered by…

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

Spin propagation in systems of one-dimensional interacting fermions at finite temperature is intrinsically diffusive. The spreading rate of a spin packet is controlled by a transport coefficient termed "spin drag" relaxation time $\tau_{\rm…

Strongly Correlated Electrons · Physics 2008-01-16 Diego Rainis , Marco Polini , M. P. Tosi , G. Vignale

We review in detail the derivation of the dielectric response function of a noninteracting system of spin-1/2 fermions in the random-phase approximation. Results for the response function of a Fermi gas in one, two and three dimensions can…

Quantum Gases · Physics 2011-11-24 Bogdan Mihaila

Thermodynamics of degenerate Fermi gases has been extensively studied through various aspects such as Pauli blocking effects, collective modes, BCS superfluidity, and more. Despite this, multi-component fermions with imbalanced spin…

We consider a non-interacting Fermi gas in $d$ dimensions, both in the non-relativistic and relativistic case. The system of size $L^{d}$ is initially prepared into two halves $\mathcal{L}$ and $\mathcal{R}$, each of them thermalized at two…

Quantum Gases · Physics 2014-10-23 Mario Collura , Gabriele Martelloni

By means of the Boltzmann-Vlasov kinetic equation we investigate dynamical properties of a trapped, one-component Fermi gas at zero temperature, featuring the anisotropic and long-range dipole-dipole interaction. To this end, we determine…

Quantum Gases · Physics 2017-10-13 F. Waechtler , A. R. P. Lima , A. Pelster

Equilibration of an isolated Fermi gas in one spatial dimension after an interaction quench is studied. Evaluating Kadanoff-Beym dynamic equations for correlation functions obtained from the two-particle-irreducible effective action in…

Quantum Gases · Physics 2010-06-18 Matthias Kronenwett , Thomas Gasenzer
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