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We propose a pairing-based method for cooling an atomic Fermi gas. A three component (labels 1, 2, 3) mixture of Fermions is considered where the components 1 and 2 interact and, for instance, form pairs whereas the component 3 is in the…

Other Condensed Matter · Physics 2009-11-13 M. J. Leskinen , J. Kinnunen , P. Torma

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 present a covariant extension of the relativistic Fermi gas model which incorporates correlation effects in nuclei. Within this model, inspired by the BCS descriptions of systems of fermions, we obtain the nuclear spectral function and…

Nuclear Theory · Physics 2010-01-22 M. B. Barbaro , R. Cenni , T. W. Donnelly , A. Molinari

It was recently shown in self-consistent Hartree-Fock calculations that a harmonically trapped dilute gas of fermionic atoms with a repulsive two-body interaction exhibits a pronounced {\it super-shell} structure: the shell fillings due to…

Other Condensed Matter · Physics 2009-11-11 M. Ogren , Y. Yu , S. Aberg , S. M. Reimann , M. Brack

We investigate the pairing physics in a three-component Fermi-Fermi mixture, where a few impurities are immersed in a non-interacting spin-$\frac{1}{2}$ Fermi gas with synthetic spin-orbit coupling (SOC), and interact attractively with one…

Quantum Gases · Physics 2015-06-19 Lihong Zhou , Xiaoling Cui , Wei Yi

A quantitative measure of the pairing correlations present in a cold gas of fermionic atoms can be obtained by studying the dependence of RF spectra on hyperfine state populations. This proposal follows from a sum rule that relates the…

Statistical Mechanics · Physics 2009-11-10 R. A. Duine , A. H. MacDonald

The two-component Fermi gas in a double-well trap is studied using the density functional theory and the density profile of each component is calculated within the Thomas-Fermi approximation. We show that the two components are spatially…

Quantum Gases · Physics 2015-05-28 Junjun Xu , Qiang Gu

We study harmonically trapped, unpolarized fermion systems with attractive interactions in two spatial dimensions with spin degeneracies Nf = 2 and 4 and N/Nf = 1, 3, 5, and 7 particles per flavor. We carry out our calculations using our…

Quantum Gases · Physics 2016-03-09 Z. -H. Luo , C. E. Berger , J. E. Drut

We propose a systematic T-matrix approach to solve few-body problems with s-wave contact interactions in ultracold atomic gases. The problem is generally reduced to a matrix equation expanded by a set of orthogonal molecular states,…

Quantum Gases · Physics 2015-03-17 Xiaoling Cui

The possibility for the particles in a Fermi gas to emit and reabsorb density and spin fluctuations gives rise to an effective mass and to a lifetime of the quasi-particles, as well as to an effective pairing interaction which affect in an…

Soft Condensed Matter · Physics 2007-05-23 L. Giorgetti , L. Viverit , G. Gori , F. Barranco , E. Vigezzi , R. A. Broglia

The zero-temperature and finite-temperature thermodynamics of two-component Fermi gases with finite-range attractive interaction suffer from fermion sign problem, which seems like an insurmountable problem in exact numerical simulations. In…

Quantum Gases · Physics 2022-12-02 Yunuo Xiong , Hongwei Xiong

We consider mass-imbalanced two-component Fermi gases for which the unequal-mass atoms interact via a zero-range model potential with a diverging s-wave scattering length $a_s$, i.e., with $1/a_s=0$. The high temperature thermodynamics of…

Quantum Gases · Physics 2012-03-13 K. M. Daily , D. Blume

While the zero-temperature properties of harmonically trapped cold few-atom systems have been discussed fairly extensively over the past decade, much less is known about the finite-temperature properties. Working in the canonical ensemble,…

Quantum Gases · Physics 2015-06-22 Yangqian Yan , D. Blume

We calculate, to second order in the scattering length between two fermions, the Landau quasiparticle interaction for a low-density mixture of two fermion species with unequal densities at temperature zero. From the Landau parameters we…

Nuclear Theory · Physics 2025-03-25 C. J. Pethick , A. Schwenk

The nuclear shell model has been perhaps the most important conceptual and computational paradigm for the understanding of the structure of atomic nuclei. While the shell model has been predominantly used in a phenomenological context,…

Nuclear Theory · Physics 2019-10-25 S. Ragnar Stroberg , Scott K. Bogner , Heiko Hergert , Jason D. Holt

The transition from a few-body system to a many-body system can result in new length scales, novel collective phenomena or even in a phase transition. Such a threshold behavior was shown for example in 4He droplets, where 4He turns into a…

Atomic Fermi gases provide an ideal platform for studying the pairing and superfluid physics, using a Feshbach resonance between closed channel molecular states and open channel scattering states. Of particular interest is the strongly…

We discuss finite temperature quantum Monte Carlo methods in the framework of the interacting nuclear shell model. The methods are based on a representation of the imaginary-time many-body propagator as a superposition of one-body…

Nuclear Theory · Physics 2009-11-06 Y. Alhassid

We study the collective association dynamics of a cold Fermi gas of $2N$ atoms in $M$ atomic modes into a single molecular bosonic mode. The many-body fermionic problem for $2^M$ amplitudes is effectively reduced to a dynamical system of…

Soft Condensed Matter · Physics 2015-06-24 I. Tikhonenkov , A. Vardi

We calculate the ground-state properties of unpolarized two-component Fermi gas by the diffusion quantum Monte Carlo (DMC) methods. Using an extrapolation to the zero effective range of the attractive two-particle interaction, we find…

Quantum Gases · Physics 2013-05-29 Xin Li , Jindrich Kolorenc , Lubos Mitas