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The ground state of a one-dimensional (1D) quantum gas of dipoles oriented perpendicular to the longitudinal axis, with a strong 1/x^3 repulsive potential, is studied at low 1D densities $n$. Near contact the dependence of the many-body…

Quantum Gases · Physics 2013-05-30 M. D. Girardeau , G. E. Astrakharchik

Alongside superfluidity, itinerant (Stoner) ferromagnetism remains one of the most well-characterized phases of correlated Fermi systems. A recent experiment has reported the first evidence for novel phase behavior on the repulsive side of…

Quantum Gases · Physics 2015-05-13 G. J. Conduit , B. D. Simons

We study one-dimensional incommensurate bosons with strong repulsive interactions and weak disorder. In analogy to the clean Tonks-Girardeau gas, a Bose-Fermi mapping expresses this problem in terms of disordered free fermions. Thereby many…

Statistical Mechanics · Physics 2016-08-31 A. De Martino , M. Thorwart , R. Egger , R. Graham

We investigate magnetic properties and statistical effects in 1D strongly repulsive two-component fermions and in a 1D mixture of strongly repulsive polarized fermions and bosons. Universality in the characteristics of phase transitions,…

Statistical Mechanics · Physics 2008-08-23 X. -W. Guan , M. T. Batchelor , J. -Y. Lee

Can a gas of spin-up and spin-down fermions become ferromagnetic due to repulsive interactions? This question which has not yet found a definitive theoretical answer was addressed in an experiment with an ultracold two-component Fermi gas.…

The Fermi-polaron problem of a mobile impurity interacting with fermionic medium emerges in various contexts, ranging from the foundations of Landau's Fermi-liquid theory to electron-exciton interaction in semiconductors, to unusual…

Quantum Gases · Physics 2021-11-02 Pavel E. Dolgirev , Yi-Fan Qu , Mikhail B. Zvonarev , Tao Shi , Eugene Demler

These lecture notes give a brief introduction to the so-called Fermi-polaron problem, which explores the behaviour of a mobile impurity introduced into an ideal Fermi gas. While this problem has been considered now for more than a decade in…

Quantum Gases · Physics 2026-01-30 Meera M. Parish , Jesper Levinsen

Motivated by experiments with cold atoms, we investigate a mobile impurity immersed in a Fermi sea in three dimensions at zero temperature by means of the functional renormalization group. We first perform the derivative expansion of the…

Quantum Gases · Physics 2017-05-15 Kazuhiko Kamikado , Takuya Kanazawa , Shun Uchino

We study theoretically the collective mode spectrum of a strongly imbalanced two-component unitary Fermi gas in a cigar-shaped trap, where the minority species forms a gas of polarons. We describe the collective breathing mode of the gas in…

Quantum Gases · Physics 2018-03-28 Johannes Hofmann , Frédéric Chevy , Olga Goulko , Carlos Lobo

We study a one-dimensional two-component atomic Fermi gas with an infinite intercomponent contact repulsion. It is found that adding an attractive resonant odd-wave interaction breaking the rotational symmetry one can make the ground state…

Quantum Gases · Physics 2016-07-13 Yuzhu Jiang , D. V. Kurlov , Xi-Wen Guan , F. Schreck , G. V. Shlyapnikov

We study a binary spin-mixture of a zero-temperature repulsively interacting $^6$Li atoms using both the atomic-orbital and the density functional approaches. The gas is initially prepared in a configuration of two magnetic domains and we…

We present exact analytic results for the energy of a SU(N) repulsive Fermi gas as a function of the spin-channel occupation at second order in the gas parameter. This is an extension of an old result that now incorporates the degree of…

Quantum Gases · Physics 2023-03-22 Jordi Pera , Joaquim Casulleras , Jordi Boronat

We consider a system of fermions with mass m and model repulsive interaction U(q) = g/\sqrt{q^2 + q_0^2}, where q is the momentum transfer, q_0 the screening constant, and g > 0 the coupling constant. It is shown that at g > g_cr > 3\pi^2/m…

Strongly Correlated Electrons · Physics 2007-05-23 Yu. G. Pogorelov , V. R. Shaginyan

The low-energy excitations of a two-component repulsive Fermi gas confined to one dimension are linear dispersing spin- and charge-density waves whose respective propagation velocities depend on the strength and sign of their interaction.…

We study the repulsive Fermi polaron in a two-component, two-dimensional system of fermionic atoms inspired by the results of a recent experiment with $^{173}$Yb atoms [N. Darkwah Oppong \textit{et al.}, Phys. Rev. Lett. \textbf{122},…

Quantum Gases · Physics 2021-04-14 Raúl Bombín , Viktor Cikojević , Juan Sánchez-Baena , Jordi Boronat

The simplest model for itinerant ferromagnetism, the Stoner model, has so far eluded experimental observation in repulsive ultracold fermions due to rapid three-body recombination at large scattering lengths. Here we show that a…

Quantum Gases · Physics 2013-08-12 Ilia Zintchenko , Lei Wang , Matthias Troyer

We theoretically investigate the polaron physics of an impurity immersed in a two-dimensional Fermi sea, interacting via a p-wave interaction at finite temperature. In the unitary limit with a divergent scattering area, we find a…

Quantum Gases · Physics 2023-11-20 Hui Hu , Jia Wang , Xia-Ji Liu

We study the problem of a mobile impurity of mass $M$ interacting {\sl via} a s-wave broad or narrow Feshbach resonance with a Fermi sea of particles of mass $m$. Truncating the Hilbert space to at most one pair of particle-hole excitations…

Quantum Gases · Physics 2018-01-11 Christian Trefzger , Yvan Castin

Whether a spin-1/2 Fermi gas will become ferromagnetic as the strength of repulsive interaction increases is a long-standing controversial issue. Recently this problem is studied experimentally by Jo et al, Science, 325, 1521 (2009) in…

Quantum Gases · Physics 2009-12-14 Hui Zhai

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…