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It is shown that Bose-Einstein condensation occurs for an ideal gas in two spatial dimensions in the presence of one impurity which is described quantum mechanically in terms of a point-like vortex and a contact interaction. This model is…

Statistical Mechanics · Physics 2009-10-31 Paola Giacconi , Fabio Maltoni , Roberto Soldati

We prove approach to thermal equilibrium for the fully Hamiltonian dynamics of a dynamical Lorentz gas, by which we mean an ensemble of particles moving through a $d$-dimensional array of fixed soft scatterers that each possess an internal…

Statistical Mechanics · Physics 2015-05-20 S. De Bievre , P. E. Parris

We study the sudden expansion of spin-imbalanced ultracold lattice fermions with attractive interactions in one dimension after turning off the longitudinal confining potential. We show that the momentum distribution functions of majority…

Strongly Correlated Electrons · Physics 2012-09-19 C. J. Bolech , F. Heidrich-Meisner , S. Langer , I. P. McCulloch , G. Orso , M. Rigol

We study dilute magnetic impurities and vacancies in two-dimensional frustrated magnets with non-collinear order. Taking the triangular-lattice Heisenberg model as an example, we use quasiclassical methods to determine the impurity…

Strongly Correlated Electrons · Physics 2011-09-22 Alexander Wollny , Lars Fritz , Matthias Vojta

We briefly review some current theoretical and experimental aspects of the problem of a single spinless impurity in a 3D polarised atomic Fermi gas at zero temperature where the interactions can be tuned using a wide Feshbach resonance. We…

Quantum Gases · Physics 2016-06-20 Zhihao Lan , Carlos Lobo

We present a systematic study of a mobile impurity immersed in a three-dimensional Fermi sea of fermions at finite temperature, by using the standard non-self-consistent many-body $T$-matrix theory that is equivalent to a finite-temperature…

Quantum Gases · Physics 2022-05-05 Hui Hu , Xia-Ji Liu

We investigate the highly polarized limit of a two-dimensional (2D) Fermi gas, where we effectively have a single spin-down impurity atom immersed in a spin-up Fermi sea. By constructing variational wave functions for the impurity, we map…

Quantum Gases · Physics 2013-04-30 Meera M. Parish , Jesper Levinsen

We calculate the off-diagonal density matrix of the homogeneous electron gas at zero temperature using unbiased Reptation Monte Carlo for various densities and extrapolate the momentum distribution, and the kinetic and potential energies to…

Strongly Correlated Electrons · Physics 2016-03-15 Markus Holzmann , Bernard Bernu , Carlo Pierleoni , Jeremy McMinis , David M. Ceperley , Valerio Olevano , Luigi Delle Site

In the present paper one-dimensional two-component atomic Fermi gas is considered in long-wave limit as a Luttinger liquid. The mechanisms leading to instability of the non-Fermi-liquid state of a Luttinger liquid with two-level impurities…

Other Condensed Matter · Physics 2007-05-23 L. A. Manakova

Thermodynamic properties are presented for four magnetic impurity models describing delocalized fermions scattering from a localized orbital at an energy-dependent rate $\Gamma(\epsilon)$ which vanishes precisely at the Fermi level,…

Strongly Correlated Electrons · Physics 2009-10-31 Carlos Gonzalez-Buxton , Kevin Ingersent

Using near-exact numerical simulations we study the propagation of an impurity through a one-dimensional Bose lattice gas for varying bosonic interaction strengths and filling factors at zero temperature. The impurity is coupled to the Bose…

Quantum Gases · Physics 2011-09-19 T. H. Johnson , S. R. Clark , M. Bruderer , D. Jaksch

Dynamics of inelastic gases are studied within the framework of random collision processes. The corresponding Boltzmann equation with uniform collision rates is solved analytically for gases, impurities, and mixtures. Generally, the energy…

Statistical Mechanics · Physics 2007-05-23 E. Ben-Naim , P. L. Krapivsky

We investigate the time evolution of the momentum of an impurity atom injected into a degenerate Tonks-Girardeau gas. We establish that given an initial momentum $p_0$ the impurity relaxes to a steady state with a non-vanishing momentum…

Quantum Gases · Physics 2015-06-17 E. Burovski , V. Cheianov , O. Gamayun , O. Lychkovskiy

We investigate the properties of two- and three-dimensional non-commutative fermion gases with fixed total z-component of angular momentum, J_z, and at high density for the simplest form of non-commutativity involving constant spatial…

Mathematical Physics · Physics 2015-06-03 Johannes N. Kriel , Frederik G. Scholtz

Mass transport of impurities immersed in a confined quasi-two-dimensional moderately dense granular gas of inelastic hard spheres is studied. The effect of the confinement on granular particles is modeled through a collisional model (the…

Soft Condensed Matter · Physics 2024-12-31 Rubén Gómez González , Vicente Garzó , Ricardo Brito , Rodrigo Soto

The appropriate generalization of the isotropic impurity Anderson model for valence fluctuations between two magnetic multiplets $l^n$ and $l^{n+1}$ is solved in the strong-coupling limit of Wilson's renormalization group for $l\leq$ 3.…

Condensed Matter · Physics 2007-05-23 A. A. Aligia , M. Balina

At zero temperature, the Lorentz invariance is strictly preserved in three-dimensional quantum electrodynamics. This property ensures that the velocity of massless fermions is not renormalized by the gauge interaction. At finite…

High Energy Physics - Theory · Physics 2016-12-14 Jing-Rong Wang , Guo-Zhu Liu , Chang-Jin Zhang

We report on a study of a spin-down impurity strongly coupled to a spin-up Fermi sea (a so-called Fermi polaron) with the diagrammatic Monte-Carlo (DiagMC) technique. Conditions of zero temperature and three dimensions are considered for an…

Quantum Gases · Physics 2015-06-15 Jonas Vlietinck , Jan Ryckebusch , Kris Van Houcke

In this paper, a fermionic hierarchical model is defined, inspired by the Kondo model, which describes a 1-dimensional lattice gas of spin-1/2 electrons interacting with a spin-1/2 impurity. This model is proved to be exactly solvable, and…

Statistical Mechanics · Physics 2016-01-20 Giuseppe Benfatto , Giovanni Gallavotti , Ian Jauslin

We define the three-body scattering hypervolume $D_F$ for identical spin-polarized fermions in two dimensions, by considering the wave function of three such fermions colliding at zero energy and zero orbital angular momentum. We derive the…

Quantum Gases · Physics 2022-08-31 Zipeng Wang , Shina Tan