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We analyze the phase structure of mass- and spin-imbalanced unitary Fermi gases in harmonic traps. To this end, we employ Density Functional Theory in the local density approximation. Depending on the values of the control parameters…

Quantum Gases · Physics 2015-06-18 Jens Braun , Joaquín E. Drut , Thomas Jahn , Martin Pospiech , Dietrich Roscher

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…

We investigate separations of trapped balanced two-component atomic Fermi gases with repulsive contact interaction. Candidates for ground-state densities are obtained from the imaginary-time evolution of a nonlinear pseudo-Schr\"odinger…

Quantum Gases · Physics 2016-02-17 M. I. Trappe , P. Grochowski , M. Brewczyk , K. Rzążewski

We study the thermodynamical properties of Fermi vapors confined in a harmonic external potential. In the case of the ideal Fermi gas, we compare exact density profiles with their semiclassical approximation in the conditions of recent…

Statistical Mechanics · Physics 2009-10-31 L. Salasnich , B. Pozzi , A. Parola , L. Reatto

We investigate the properties of a degenerate dilute gas of neutral fermionic particles in a harmonic trap that interact via dipole-dipole forces. We employ the semiclassical Thomas-Fermi method and discuss the Dirac correction to the…

Condensed Matter · Physics 2007-05-23 K. Goral , Berthold-Georg Englert , K. Rzazewski

We investigate the particle and kinetic energy densities of harmonically trapped fermion gases at zero temperature in arbitrary dimensions. We derive analytically a differential equation connecting these densities, which so far have been…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Matthias Brack , M. V. N. Murthy

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

We consider a mixture of two-component Fermi gases at low temperature. The density profile of this degenerate Fermi gas is calculated under the semiclassical approximation. The results show that the fermion-fermion interactions make a large…

Quantum Physics · Physics 2009-11-10 X. X. Yi , H. J. Wang , H. T. Cui , C. M. Zhang

Motivated by recent developments on cold atom traps and high density QCD we consider fermionic systems composed of two particle species with different densities. We argue that a mixed phase composed of normal and superfluid components is…

Condensed Matter · Physics 2014-10-13 Paulo F. Bedaque , Heron Caldas , Gautam Rupak

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 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

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

We measure the free decay of a spatially periodic density profile in a normal fluid strongly interacting Fermi gas, which is confined in a box potential. This spatial profile is initially created in thermal equilibrium by a perturbing…

Quantum Gases · Physics 2022-03-04 Xin Wang , Xiang Li , Ilya Arakelyan , J. E. Thomas

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 study theoretically the collective mode spectrum of a strongly imbalanced two-component unitary Fermi gas in a cigar-shaped trap, where the minority species forms a gas of polarons. We describe the collective breathing mode of the gas in…

Quantum Gases · Physics 2018-03-28 Johannes Hofmann , Frédéric Chevy , Olga Goulko , Carlos Lobo

We discuss the ground state and the small-amplitude excitations of dilute boson-fermion mixtures confined in spherical harmonic traps at $T = 0$, assuming repulsive boson-boson interactions and with each component being in a single…

Statistical Mechanics · Physics 2007-05-23 A. Minguzzi , M. P. Tosi

We investigate dynamical properties of a one-component Fermi gas with dipole-dipole interaction between particles. Using a variational function based on the Thomas-Fermi density distribution in phase space representation, the total energy…

Other Condensed Matter · Physics 2011-04-12 T Sogo , L He , T Miyakawa , S Yi , H Lu , H Pu

We investigate a scale-invariant two-component Fermi gas in a time-dependent isotropic harmonic potential. The exact time evolution of the density distribution in position space in any spatial dimension is obtained. Two experimentally…

Quantum Gases · Physics 2012-07-20 Sergej Moroz

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

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…

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