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Interacting fermions are ubiquitous in nature and understanding their thermodynamics is an important problem. We measure the equation of state of a two-component ultracold Fermi gas for a wide range of interaction strengths at low…

Quantum Gases · Physics 2010-06-03 Nir Navon , Sylvain Nascimbène , Frédéric Chevy , Christophe Salomon

In view of ongoing experiments to trap ultracold spin-polarized $^6$Li, we study various properties of an interacting Fermi gas in a harmonic trap taking the discrete nature of the unperturbed harmonic trap levels into account exactly. As…

Atomic Physics · Physics 2016-09-08 G. M. Bruun , K. Burnett

We investigate the competition of various exotic superfluid states in a chain of spin-polarized ultracold fermionic atoms with hyperfine spin $F = 3/2$ and s-wave contact interactions. We show that the ground state is an exotic…

Quantum Gases · Physics 2015-06-22 G. Barcza , E. Szirmai , J. Sólyom , Ö. Legeza

Motivated by recent developments on cold atom traps and high density QCD we consider fermionic systems composed of two particle species with different densities. We argue that a mixed phase composed of normal and superfluid components is…

Condensed Matter · Physics 2014-10-13 Paulo F. Bedaque , Heron Caldas , Gautam Rupak

We discuss the zero temperature phase diagram of a dilute gas with three fermionic species. We make use of solvable limits to conjecture the behavior of the system in the "unitary" regions. The physics of the Thomas-Efimov effect plays a…

Other Condensed Matter · Physics 2015-06-25 Paulo F. Bedaque , José P. D'Incao

We study the Fermi gas at unitarity and at T=0 by assuming that, at high polarizations, it is a normal Fermi liquid composed of weakly interacting quasiparticles associated with the minority spin atoms. With a quantum Monte Carlo approach…

Other Condensed Matter · Physics 2009-11-11 C. Lobo , A. Recati , S. Giorgini , S. Stringari

We perform a theoretical study of a fermionic gas with two hyperfine states confined to an optical lattice. We derive a generic state diagram as a function of interaction strength, particle number, and confining potential. We discuss the…

Strongly Correlated Electrons · Physics 2009-11-13 L. De Leo , C. Kollath , A. Georges , M. Ferrero , O. Parcollet

Leveraging cutting-edge numerical methodologies, we study the ground state of the two-dimensional spin-polarized Fermi gas in an optical lattice. We focus on systems at high density and small spin polarization, corresponding to the…

Quantum Gases · Physics 2022-05-30 Ettore Vitali , Peter Rosenberg , Shiwei Zhang

We analyze how the presence of the bound state on top of strong intercomponent contact repulsion affects the dynamics of a two-component ultracold Fermi gas confined in a one-dimensional harmonic trap. By performing full many-body numerical…

Quantum Gases · Physics 2022-02-02 Andrzej Syrwid , Maciej Łebek , Piotr T. Grochowski , Kazimierz Rzążewski

We study the superconducting properties of population-imbalanced ultracold Fermi mixtures in one-dimensional (1D) optical lattices that can be effectively described by the spin-imbalanced attractive Hubbard model (AHM) in the presence of a…

Quantum Gases · Physics 2017-03-16 Andrzej Ptok , Agnieszka Cichy , Karen Rodríguez , Konrad J. Kapcia

We report the observation of a pairing in a number polarized two-component gas of atomic fermions. Beyond a critical polarization, the gas separates into a superfluid paired core surrounded by a shell of normal unpaired fermions. The…

Other Condensed Matter · Physics 2009-11-11 Guthrie B. Partridge , Wenhui Li , Ramsey I. Kamar , Yean-an Liao , Randall G. Hulet

We construct the complete $U$-$\mu$ phase diagram for harmonically confined ultracold fermionic atoms with repulsive and attractive interactions. ($\mu$ is the chemical potential and $U$ the interaction strength.) Our approach is based on…

Strongly Correlated Electrons · Physics 2015-06-25 V. L. Campo , K. Capelle

We consider a cold two-species atomic Fermi gas confined in a trap. We combine the Hermitian coupling between the states (we assume them to be the states with different spins) with the Cooper pairing of atoms with these different spins.…

Quantum Gases · Physics 2017-03-10 E. A. Ayryan , K. G. Petrosyan , A. H. Gevorgyan , N. Sh. Izmailian , K. B. Oganesyan

We study equilibrium density and spin density profiles for a model of cold one-dimensional spin 1/2 fermions interacting via inverse square interaction and exchange in an external harmonic trap. This model is the well-known spin-Calogero…

Quantum Gases · Physics 2011-02-01 M. Kulkarni , A. G. Abanov

We use the density matrix renormalization group method(DMRG) and the infinite time evolved block decimation method(iTEBD) to investigate the ground states of the spin-orbit coupled Fermi gas in a one dimensional optical lattice with a…

Quantum Gases · Physics 2014-11-25 Y. H. Chan

Ground-state properties of a few spin-$1/2$ ultra-cold fermions confined in a one-dimensional trap are studied by the exact diagonalization method. In contrast to previous studies, it is not assumed that the projection of a spin of…

Quantum Gases · Physics 2018-03-07 Tomasz Sowiński

Interacting two component Fermi gases are at the heart of our understanding of macroscopic quantum phenomena like superconductivity. Changing nature of the interaction is expected to head to novel quantum phases. Here we study the ground…

Quantum Gases · Physics 2015-06-16 Przemyslaw Bienias , Krzysztof Pawlowski , Tilman Pfau , Kazimierz Rzazewski

A theory for the coupling constants between spin polarized degenerate fermionic atoms is developed for the case of atoms confined to a quasi one-dimensional harmonic trap. Exploiting the presence of the Fermi edge and the large number of…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. Gleisberg , W. Wonneberger

I derive a loop representation for the canonical and grand-canonical partition functions for an interacting four-component Fermi gas in one spatial dimension and an arbitrary external potential. The representation is free of the "sign…

High Energy Physics - Lattice · Physics 2012-07-04 Michael G. Endres

We examine the existence and characteristics of the exotic Fulde-Ferrel-Larkin-Ovchinnikov (FFLO) phase in a one-dimensional Fermi gas with attractive Hubbard interactions, in the presence of spin-orbit coupling (SOC) and Zeeman field. We…

Quantum Gases · Physics 2021-08-10 Monalisa Singh Roy , Manoranjan Kumar