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Quantum states of a two-component Fermi trapped gas are described by introducing an effective trap frequency, determined via variational techniques. Closed expressions for the contribution of a contact interaction potential to the total…

Other Condensed Matter · Physics 2009-11-10 R. Jáuregui , R. Paredes , G. Toledo Sánchez

We demonstrate and characterize an experimental technique to directly image the momentum distribution of a strongly interacting two-dimensional quantum gas with high momentum resolution. We apply the principles of Fourier optics to…

Quantum Gases · Physics 2014-10-15 P. A. Murthy , D. Kedar , T. Lompe , M. Neidig , M. G. Ries , A. N. Wenz , G. Zürn , S. Jochim

Response functions are central objects in physics. They provide crucial information about the behavior of physical systems, and they can be directly compared with scattering experiments involving particles like neutrons, or photons.…

Quantum Gases · Physics 2019-08-23 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

Strongly correlated Fermi system plays a fundamental role in very different areas of physics, from neutron stars, quark-gluon plasmas, to high temperature superconductors. Despite the broad applicability, it is notoriously difficult to be…

Quantum Gases · Physics 2013-10-15 Xia-Ji Liu

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

Correlation functions related to the dynamic density response of the one-dimensional Bose gas in the model of Lieb and Liniger are calculated. An exact Bose-Fermi mapping is used to work in a fermionic representation with a pseudopotential…

Statistical Mechanics · Physics 2007-05-23 Alexander Yu. Cherny , Joachim Brand

We compute the level density of a two--component Fermi gas as a function of the number of particles, angular momentum and excitation energy. The result includes smooth low--energy corrections to the leading Bethe term (connected to a…

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

Exact and closed-form expressions of the particle density, the kinetic energy density, the probability current density, and the momentum distribution are derived for a coherent state of a noninteracting Fermi gas, while such a state can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Dae-Yup Song

Using a high temperature virial expansion, we present a controllable study of the thermodynamics of strongly correlated Fermi gases near the BEC-BCS crossover region. We propose a practical way to determine the expansion coefficients for…

Quantum Gases · Physics 2009-04-25 Xia-Ji Liu , Hui Hu , Peter D. Drummond

A detailed calculation of the coherent and incoherent dynamic structure functions of the free Fermi gas, starting from their expressions in terms of the one- and semi-diagonal two-body density matrices, is derived and discussed. Their…

Soft Condensed Matter · Physics 2009-10-31 F. Mazzanti , A. Polls , J. Boronat

The Fredholm equations for one-dimensional two-component Fermions with repulsive and with attractive delta-function interactions are solved by an asymptotic expansion for A) strong repulsion, B) weak repulsion, C) weak attraction and D)…

Quantum Gases · Physics 2015-05-30 Xi-Wen Guan , Zhong-Qi Ma

The viscous and thermal relaxation rates of an interacting fermion gas are calculated as functions of temperature and scattering length, using a many-body scattering matrix which incorporates medium effects due to Fermi blocking of…

Statistical Mechanics · Physics 2009-11-11 G. M. Bruun , H. Smith

Utilizing a second-order hydrodynamics formalism, the dispersion relations for the frequencies and damping rates of collective oscillations as well as spatial structure of these modes up to the decapole oscillation in both two- and three-…

Quantum Gases · Physics 2017-02-24 William E. Lewis , Paul Romatschke

We theoretically investigate the dynamic structure factor of a strongly interacting Fermi gas at the crossover from Bardeen-Cooper-Schrieffer superfluids to Bose-Einstein condensates, by developing an improved random phase approximation…

Quantum Gases · Physics 2017-01-06 Peng Zou , Franco Dalfovo , Rishi Sharma , Xia-Ji Liu , Hui Hu

Ultracold atomic Fermi gases in two-dimensions (2D) are an increasingly popular topic of research. The interaction strength between spin-up and spin-down particles in two-component Fermi gases can be tuned in experiments, allowing for a…

Quantum Gases · Physics 2017-10-31 Alexander Galea , Tash Zielinski , Stefano Gandolfi , Alexandros Gezerlis

We present first-principles calculations for moments of the current up to the third order in atomic-scale junctions. The quantum correlations of the current are calculated using the current operator in terms of the wave functions obtained…

Mesoscale and Nanoscale Physics · Physics 2011-01-14 Yu-Shen Liu , Yu-Chang Chen

We study a weak interaction quench in a three-dimensional Fermi gas. We first show that, under some general assumptions on time-dependent perturbation theory, the perturbative expansion of the long-wavelength structure factor $S(\bq)$ is…

Quantum Gases · Physics 2014-11-06 Anna Maraga , Alessandro Silva , Michele Fabrizio

We present a theoretical study of the dynamic structure function of a resonantly interacting two-component Fermi gas at zero temperature. Our approach is based on dynamic many-body theory able to describe excitations in strongly correlated…

Quantum Gases · Physics 2015-06-15 G. E. Astrakharchik , J. Boronat , E. Krotscheck , T. Lichtenegger

We use spin-density functional theory to obtain novel expressions for the charge and spin local-field factors of an electron gas in terms of its electron-pair structure factors. These expressions (i) satisfy the compressibility and spin…

Strongly Correlated Electrons · Physics 2009-11-07 B. Davoudi , M. Polini , M. P. Tosi

The viscous relaxation time of a trapped two-component gas of fermions in its normal phase is calculated as a function of temperature and scattering length, with the collision probability being determined by an energy-dependent s-wave cross…

Statistical Mechanics · Physics 2009-02-05 P. Massignan , G. M. Bruun , H. Smith