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We consider the stability problem for a unitary N+1 fermionic model, i.e., a system of $N$ identical fermions interacting via zero-range interactions with a different particle, in the case of infinite two-body scattering length. We present…

Quantum Gases · Physics 2015-09-08 Michele Correggi , Domenico Finco , Alessandro Teta

The effects of mass imbalance in a three-component Hubbard model are studied by the dynamical mean-field theory combined with exact diagonalization. The model describes a fermion-fermion mixture of two different particle species with a mass…

Strongly Correlated Electrons · Physics 2015-04-01 Duong-Bo Nguyen , Duy-Khuong Phung , Van-Nham Phan , Minh-Tien Tran

We consider a homogeneous Bose-Fermi mixture, with the boson-fermion interaction tuned by a Fano-Feshbach resonance, in the presence of mass and density imbalance between the two species. By using many-body diagrammatic methods, we first…

Quantum Gases · Physics 2012-06-27 E. Fratini , P. Pieri

We investigate numerically the problem of few (one, two) noninteracting spin$-1/2$ fermions in a shallow harmonic trap coupled via contact repulsive interactions to a uniform one-dimensional bath of lattice bosons, described by the…

Quantum Gases · Physics 2019-12-30 Michael Pasek , Giuliano Orso

We analyze the ground state phases of two-component ($\sigma \equiv \lbrace \uparrow, \downarrow \rbrace$) population- and mass-balanced ($N_\uparrow = N_\downarrow$ and $m_\uparrow = m_\downarrow$) but trap-imbalanced ($\omega_\uparrow \ne…

Superconductivity · Physics 2009-11-13 M. Iskin , C. J. Williams

We investigate the nonequilibrium quantum dynamics of a single and two heavy fermionic impurities being harmonically trapped and repulsively interacting with a finite ensemble of majority fermions. A quench of the potential of the majority…

Quantum Gases · Physics 2020-05-20 J. Kwasniok , S. I. Mistakidis , P. Schmelcher

We present accurate results based on Quantum Monte Carlo simulations of two-component bosonic systems on a square lattice and in the presence of an external harmonic confinement. Starting from hopping parameters and interaction strengths…

Quantum Gases · Physics 2011-09-21 Marco Guglielmino , Vittorio Penna , Barbara Capogrosso-Sansone

We study the ground--state shell correction energy of a fermionic gas in a mean--field approximation. Considering the particular case of 3D harmonic trapping potentials, we show the rich variety of different behaviors (erratic, regular,…

Nuclear Theory · Physics 2008-11-26 Jérôme Roccia , Patricio Leboeuf

We investigate antiferromagnetic order of repulsively interacting fermionic atoms in an optical lattice by means of Dynamical Mean-Field Theory (DMFT). Special attention is paid to the case of an imbalanced mixture. We take into account the…

Quantum Gases · Physics 2011-02-18 Michiel Snoek , Irakli Titvinidze , Walter Hofstetter

We consider a pair of atoms in an arbitrary trapping potential in the presence of magnetically tunable Feshbach resonance. We find the energy levels and occupation of the bound molecular states taking into account possible coupling between…

Quantum Gases · Physics 2013-04-17 Krzysztof Jachymski , Zbigniew Idziaszek , Tommaso Calarco

We compute the zero-temperature equation of state of a mixture of two fermionic atomic species with repulsive interspecies interactions using second-order perturbation theory. We vary the interaction strength, the population and the mass…

Quantum Gases · Physics 2015-06-19 Elisa Fratini , Sebastiano Pilati

Conjectures are made for the ground state energy of a large spin 1/2 Fermion system trapped in a 1D harmonic trap with delta function interaction. States with different spin J are separately studied. The Thomas-Fermi method is used as an…

Quantum Gases · Physics 2015-05-14 Zhong-Qi Ma , C. N. Yang

We consider a mixture of one-dimensional strongly interacting Fermi gases up to six components, subjected to a longitudinal harmonic confinement. In the limit of infinitely strong repulsions we provide an exact solution which generalizes…

Quantum Gases · Physics 2016-05-19 Jean Decamp , Pacome Armagnat , Bess Fang , Mathias Albert , Anna Minguzzi , Patrizia Vignolo

A system composed of an ideal gas of N fermions interacting with an impurity particle in two space dimensions is considered. The interaction between impurity and fermions is given in terms of two-body point interactions whose strength is…

Mathematical Physics · Physics 2018-07-18 Marcel Griesemer , Ulrich Linden

We employ \textit{ab initio} methods of quantum chemistry to investigate spin-1/2 fermions interacting via a two-body contact potential in a one-dimensional harmonic trap. The convergence of the total energy with the size of the…

We unravel the correlated non-equilibrium dynamics of a mass balanced Bose-Fermi mixture in a one-dimensional optical lattice upon quenching an imposed harmonic trap from strong to weak confinement. Regarding the system's ground state, the…

Quantum Physics · Physics 2018-06-06 P. Siegl , S. I. Mistakidis , P. Schmelcher

We study measurable quantities of bosonic and fermionic mixtures on a one-dimensional ring. These few-body ensembles consist of majority atoms obeying certain statistics (Fermi or Bose) and an impurity atom in a different hyperfine state.…

Quantum Gases · Physics 2015-05-01 Rafael E. Barfknecht , Ioannis Brouzos , Angela Foerster

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

Using exact continuous quantum Monte Carlo techniques, we study the zero and finite temperature properties of a system of harmonically trapped one dimensional spin 1/2 fermions with short range interactions. Motivated by experimental…

Other Condensed Matter · Physics 2009-11-13 Michele Casula , D. M. Ceperley , Erich J. Mueller

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
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