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Related papers: Hartree shift in unitary Fermi gases

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The Hartree-Fock ground state of the Homogeneous Electron Gas is never translation invariant, even at high densities. As proved by Overhauser, the (paramagnetic) free Fermi Gas is always unstable under the formation of spin or charge…

Strongly Correlated Electrons · Physics 2019-05-08 David Gontier , Christian Hainzl , Mathieu Lewin

Although recent theoretical and experimental progress have considerably clarified pairing mechanisms in spin 1/2 fermionic superfluid with equally populated internal states, many open questions remain when the two spin populations are…

Statistical Mechanics · Physics 2016-08-14 Frédéric Chevy

We address the possible occurrence of ultracold atom ferromagnetism by evaluating the free energy of a spin polarized Fermi gas to second order in its interaction parameter. We find that Hartree-Fock theory underestimates the tendency…

Statistical Mechanics · Physics 2009-11-11 R. A. Duine , A. H. MacDonald

Assuming the validity of grand canonical statistics, we study the properties of a spin-polarized Fermi gas in harmonic traps. Universal forms of Fermi temperature $T_F$, internal energy $U$ and the specific heat per particle of the trapped…

Quantum Physics · Physics 2009-11-06 X. X. Yi , J. C. Su

We present results from Monte Carlo calculations investigating the properties of the homogeneous, spin-balanced unitary Fermi gas in three dimensions. The temperature is varied across the superfluid transition allowing us to determine the…

Quantum Gases · Physics 2016-05-05 Olga Goulko , Matthew Wingate

We study the phase diagram of a two component Fermi system with a weak attractive interaction. Our analysis includes the leading order Hartree energy shifts and pairing correlations at finite temperature and chemical potential difference…

Superconductivity · Physics 2009-01-06 Rishi Sharma , Sanjay Reddy

Trapped and cooled gases of alkali atoms can be manipulated to exhibit a variety of interesting phenomena. For example, dilute gases of fermionic atoms, in 2 hyperfine states, can be cooled to temperatures where they become superfluid. An…

High Energy Physics - Lattice · Physics 2009-09-29 Matthew Wingate

We revisit the properties of the two-component Fermi gas with short-range interactions in three dimensions, in the limit where the s-wave scattering length diverges. Such a unitary Fermi gas possesses universal thermodynamic and dynamical…

Quantum Gases · Physics 2017-03-22 Jesper Levinsen , Pietro Massignan , Shimpei Endo , Meera M. Parish

In this note we consider three issues related to the unitary Fermi gas in a harmonic trap. We present a short proof of a virial theorem, which states that the average energy of a particle system at unitarity in a harmonic trap is twice…

Other Condensed Matter · Physics 2007-07-13 D. T. Son

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

We report on the creation of homogeneous Fermi gases of ultracold atoms in a uniform potential. In the momentum distribution of a spin-polarized gas, we observe the emergence of the Fermi surface and the saturated occupation of one particle…

Using density functional theory in a time dependent approach we determine the frequencies of the compressional modes of the normal phase of a Fermi gas at unitarity as a function of its polarization. Our energy functional accounts for the…

Quantum Gases · Physics 2015-05-19 Alessio Recati , Sandro Stringari

Motivated by recent experiments measuring the spin transport in ultracold unitary atomic Fermi gases (Sommer et al., 2011; Sommer et al., 2011), we explore the theory of spin and heat transport in a three-dimensional spin-polarized atomic…

Quantum Gases · Physics 2012-11-09 Hyungwon Kim , David A. Huse

Within the Hartree-Fock approximation the ground state of the composite fermion metal is found. We observe that the single-particle energy spectrum is dominated by the logarithmic interaction exchange term which leads to an infinite jump of…

Condensed Matter · Physics 2015-06-25 P. Sitko , L. Jacak

We theoretically study the pairing behavior of the unitary Fermi gas in the normal phase. Our analysis is based on the static spin susceptibility, which characterizes the response to an external magnetic field. We obtain this quantity by…

Quantum Gases · Physics 2021-04-28 Lukas Rammelmüller , Yaqi Hou , Joaquín E. Drut , Jens Braun

The energy shift due to the interaction of two particles in a large box is proportional to the free particle scattering phase-shift. This provides an approximation to the effective interaction referred to as the phase-shift approximation.…

Nuclear Theory · Physics 2007-05-23 H. S. Kohler

Electrical energy is considered as a fundamental parameter for inclusion in Fermi gas theory, in addition to thermal energy. It is argued that electrical energy can move some electrons to above the Fermi Level, providing free charges to…

Materials Science · Physics 2022-06-15 C. A. M. dos Santos , M. S. da Luz , F. S. Oliveira , L. M. S Alves

We develop a quantitative analytic theory that accurately describes the odd-even effect observed experimentally in a one-dimensional, trapped Fermi gas with a small number of particles [G. Z\"urn et al., Phys. Rev. Lett. 111, 175302…

Quantum Gases · Physics 2016-06-22 Johannes Hofmann , Alejandro M. Lobos , Victor Galitski

We investigate the energy dynamics of a unitary Fermi gas driven away from equilibrium. The energy is injected into the system by periodically modulating the trapping potential of a spherical unitary Fermi gas, and due to the existence of…

Quantum Gases · Physics 2026-05-15 Xiangchuan Yan , Jing Min , Dali Sun , Shi-Guo Peng , Xin Xie , Xizhi Wu , Kaijun Jiang

A quantity known as the contact plays a fundamental role in quantum many-body systems with short-range interactions. The determination of the temperature dependence of the contact for the unitary Fermi gas of infinite scattering length has…

Quantum Gases · Physics 2020-07-29 S. Jensen , C. N. Gilbreth , Y. Alhassid
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