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In view of recent experiments on ultra-cold polarized fermions, the zero-range potential approach is generalized to situations where two-body scattering is resonant in the p-wave channel. We introduce a modified scalar product which reveals…

Other Condensed Matter · Physics 2007-05-23 Ludovic Pricoupenko

We present a detailed theoretical study of light scattering off superfluid trapped Fermi gas of atoms at zero temperature. We apply Nambu-Gorkov formalism of superconductivity to calculate the response function of superfluid gas due to…

Other Condensed Matter · Physics 2007-05-23 Bimalendu Deb

We consider the three-boson problem with $\delta$-function interactions in one spatial dimension. Three different approaches are used to calculate the phase shifts, which we interpret in the context of the effective range expansion, for the…

Nuclear Theory · Physics 2009-11-11 Nirav P. Mehta , James R. Shepard

In scattering theory, the unitary limit is defined by an infinite scattering-length and a zero effective range, corresponding to a phase-shift \pi/2, independent of energy. This condition is satisfied by a rank-1 separable potential…

Nuclear Theory · Physics 2010-08-24 H. S. Kohler

Strong interactions produce a rich spectrum of resonances that decay into three or more hadrons. Understanding their phenomenology requires a theoretical framework to extract parameters fromexperimental data and Lattice QCD simulations of…

High Energy Physics - Lattice · Physics 2021-11-11 Sebastian M. Dawid

We develop the contact theory for spin-orbit-coupled Fermi gases. By using a perturbation method, we derive analytically the universal two-body behavior at short distance, which does not depend on the short-range details of interatomic…

Quantum Gases · Physics 2018-02-14 Shi-Guo Peng , Cai-Xia Zhang , Shina Tan , Kaijun Jiang

We construct systematic expansions around four and two spatial dimensions for a Fermi gas near the unitarity limit. Near four spatial dimensions such a Fermi gas can be understood as a weakly interacting system of fermionic and bosonic…

Other Condensed Matter · Physics 2009-02-05 Yusuke Nishida , Dam Thanh Son

We derive an energy density functional for non-relativistic spin one-half fermions in the limit of a divergent two-body scattering length. Using an epsilon expansion around d=4-epsilon spatial dimensions we compute the coefficient of the…

Nuclear Theory · Physics 2009-03-24 Gautam Rupak , Thomas Schaefer

We study the Fermi polaron problem with dipolar fermions in a bilayer geometry, where a single dipolar particle in one layer interacts with a Fermi sea of dipolar fermions in the other layer. By evaluating the polaron spectrum, we obtain…

Quantum Gases · Physics 2024-10-03 A. Tiene , A. Tamargo Bracho , M. M. Parish , J. Levinsen , F. M. Marchetti

Pairing lies at the heart of superfluidity in fermionic systems. Motivated by recent experiments in mesoscopic Fermi gases, we study up to six fermionic atoms with equal masses and equal populations in two different spin states, confined in…

Quantum Gases · Physics 2024-12-20 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

An impurity atom immersed in an ultracold atomic Fermi gas can form a quasiparticle, so-called Fermi polaron, due to impurity-fermion interaction. We consider a three-dimensional homogeneous dipolar Fermi gas as a medium, where the…

One-dimensional spinor gases with strong delta interaction fermionize and form a spin chain. The spatial degrees of freedom of this atom chain can be described by a mapping to spinless noninteracting fermions and the spin degrees of freedom…

Quantum Gases · Physics 2016-09-22 Frank Deuretzbacher , Daniel Becker , Luis Santos

We predict the phase separations of two-dimensional Fermi gases with repulsive contact-type interactions between two spin components. Using density-potential functional theory with systematic semiclassical approximations, we address the…

In this paper we explore the transport properties of three-component Fermi gases confined to one spatial dimension, interacting via a three-body interaction, in the high temperature limit. At the classical level, the three-body interaction…

Quantum Gases · Physics 2019-12-11 Jeff Maki , Carlos R. Ordóñez

We analyze the transport properties of charged particles (ions and electrons) interacting with randomly formed magnetic scatterers (e.g.\ large scale local ``magnetic fluctuations'' or ``coherent magnetic irregularities'' usually present in…

Solar and Stellar Astrophysics · Physics 2020-01-08 Nikos Sioulas , Heinz Isliker , Loukas Vlahos , Argyris Koumtzis , Theophilos Pisokas

We calculate the basic parameters of the Fermi Liquid: the scattering vertex, the Landau interaction function, the effective mass, and physical susceptibilities for a model of two-dimensional (2D) fermions with a short ranged interaction at…

Strongly Correlated Electrons · Physics 2009-11-07 Gennady Y. Chitov , Andrew J. Millis

In this Rapid Communication, we investigate the universal properties of a spin-polarized two-component Fermi gas in one dimension (1D) using Bethe ansatz. We discuss the quantum phases and phase transitions by obtaining exact results for…

Quantum Gases · Physics 2016-10-12 Wen-Bin He , Yang-Yang Chen , Shizhong Zhang , Xi-Wen Guan

The scattering matrix which describes low-energy, non-relativistic scattering of spin-1/2 fermions interacting via finite-range potentials can be obtained from a geometric action principle in which space and time do not appear explicitly…

Quantum Physics · Physics 2022-04-13 Silas R. Beane , Roland C. Farrell

Using classical density functional theory (DFT) in a modified mean-field approximation we investigate the fluid phase behavior of quasi-two dimensional dipolar fluids confined to a plane. The particles carry three-dimensional dipole moments…

Statistical Mechanics · Physics 2013-06-18 R. Geiger , S. H. Klapp

In this work, we use McGuire's model to describe scattering of three spinless identical particles in one spatial dimension, we first present analytic solutions of Faddeev's equation for scattering of three spinless particles in free space.…

High Energy Physics - Lattice · Physics 2017-03-29 Peng Guo
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