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We consider a system of quantum degenerate spin polarized fermions in a harmonic trap at zero temperature, interacting via dipole-dipole forces. We introduce a variational Wigner function to describe the deformation and compression of the…

Other Condensed Matter · Physics 2009-11-13 Takahiko Miyakawa , Takaaki Sogo , Han Pu

Density oscillations of confined one-dimensional Fermi gases of contact repulsive interactions in a continuous space are discussed within Bethe-ansatz-based spin-density-functional theory. The results are compared against the exact…

Strongly Correlated Electrons · Physics 2012-12-27 Gao Xianlong

We explore a new variational principle for studying one-dimensional quantum systems in a trapping potential. We focus on the Fermi polaron problem, where a single distinguishable impurity interacts through a contact potential with a…

Quantum Gases · Physics 2019-08-09 E. J. Lindgren , R. E. Barfknecht , N. T. Zinner

We study the zero-temperature phase diagram of the 2D spin-imbalanced Fermi gas with short-ranged attractive interactions using the recently developed neural network variational Monte Carlo method with the AGPs FermiNet Ansatz. The…

The collective excitations of a zero-temperature, spin-polarized, harmonically trapped, two-dimensional dipolar Fermi gas are examined within the Thomas-Fermi von Weizs\"acker hydrodynamic theory. We focus on repulsive interactions, and…

Quantum Gases · Physics 2015-06-22 B. P. van Zyl , E. Zaremba , J. Towers

Based on the semi-classical theory, we investigate the thermodynamic properties of a dipolar Fermi gas. Through a self-consistent procedure, we numerically obtain the phase space distribution function at finite temperature. We show that the…

Quantum Gases · Physics 2010-04-20 J. -N. Zhang , S. Yi

We have performed a Quantum Monte Carlo study of a two-dimensional bulk sample of interacting 1/2-spin structureless fermions, a model of $^3$He adsorbed on a variety of preplated graphite substrates. We have computed the equation of state…

Statistical Mechanics · Physics 2015-05-27 M. Nava , E. Vitali , A. Motta , D. E. Galli , S. Moroni

We consider a two dimensional model of non-interacting chains of spinless fermions weakly coupled via a small inter-chain hopping and a repulsive inter-chain interaction. The phase diagram of this model has a surprising feature: an abrupt…

Strongly Correlated Electrons · Physics 2015-05-18 Sam T. Carr , Jorge Quintanilla , Joseph J. Betouras

In current work, we investigate the density and temperature dependence of polarization parameter; using the relativistic formalism for the electron-electron interaction within the Fermi liquid model. we calculate the spin dependent…

Statistical Mechanics · Physics 2011-03-28 H. Gholizade , D. Momeni

We study a two-dimensional Fermi gas with an attractive interaction subjected to synthetic magnetic fields, which are assumed to be mutually antiparallel for two different spin components with population imbalance. By employing the…

Quantum Gases · Physics 2019-10-28 Takaaki Anzai , Yusuke Nishida

We present a systematic study of quantum phases in a one-dimensional spin-polarized Fermi gas. Three comparative theoretical methods are used to explore the phase diagram at zero temperature: the mean-field theory with either an order…

Statistical Mechanics · Physics 2011-11-10 Xia-Ji Liu , Hui Hu , Peter D. Drummond

The thermodynamic properties of a nonrelativistic free-electron Fermi gas is of fundamental interest in condensed matter physics. Properties previously studied in three-dimensions (3D) in the low- and high-temperature limits include the…

Statistical Mechanics · Physics 2021-05-13 David C. Johnston

We quantitatively obtain the quantum ground-state phases of a Fermi system with on-site and dipole-dipole interactions in one-dimensional lattice chains within the density matrix renormalization group. We show, at a given spin polarization,…

Strongly Correlated Electrons · Physics 2015-03-03 Hamid Mosadeq , Reza Asgari

We investigate the combined influence of a magnetic field and a harmonic interparticle interaction on the thermodynamic properties of a finite number of spin polarized fermions in a confiment potential. This study is an extension using our…

Statistical Mechanics · Physics 2009-10-31 S. Foulon , F. Brosens , J. T. Devreese , L. F. Lemmens

The polarization produced by the relative displacement of the potentials trapping two spin species of a dilute Fermi gas with $N_\ua=N_\da$ is calculated at unitarity by assuming phase separation between the superfluid and a spin polarized…

Soft Condensed Matter · Physics 2011-10-18 A. Recati , I. Carusotto , C. Lobo , S. Stringari

On the basis of the phase diagram of the uniform system we calculate the density profiles of a trapped polarized Fermi gas at zero temperature using the local density approximation. By varying the overall polarization and the interaction…

Other Condensed Matter · Physics 2009-01-23 G. Bertaina , S. Giorgini

Using Landau theory of Fermi liquids we calculate the dynamic response of both a polarized and unpolarized normal Fermi gas at zero temperature in the strongly interacting regime of large scattering length. We show that at small excitation…

Statistical Mechanics · Physics 2010-04-22 S. Stringari

The evolution of an attractive polarized two-component Fermi gas at zero temperature is analyzed as its polarization is progressively decreased, from full polarization (corresponding to the polaronic limit) down to a critical polarization…

Quantum Gases · Physics 2023-02-15 Michele Pini , Pierbiagio Pieri , Giancarlo Calvanese Strinati

We study low temperature thermodynamic properties of a polarized Fermi gas trapped in a quartic anharmonic potential. We use a semi classical approximation and a low temperature series expansion method to derive analytical expressions for…

Quantum Gases · Physics 2010-09-22 Mark DelloStritto , Theja N. De Silva

Thermodynamic properties of matter are conveniently expressed as functional relations between variables known as equations of state. Here we experimentally determine the compressibility, density and pressure equations of state for an…

Quantum Gases · Physics 2016-02-12 K. Fenech , P. Dyke , T. Peppler , M. G. Lingham , S. Hoinka , H. Hu , C. J. Vale
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