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We present a theoretical study of the density profile of a trapped strongly interacting Fermi gas with unbalanced spin populations. Making the assumption of the existence of a first order phase transition between an unpolarized superfluid…

Statistical Mechanics · Physics 2016-08-16 Frédéric Chevy

We show how to exploit the rich hyperfine structure of fermionic alkali atoms to produce a quasi-1D topological superfluid while avoiding excessive heating from off-resonant scattering. We model interacting fermions where four hyperfine…

Quantum Gases · Physics 2014-01-31 Junjun Xu , Qiang Gu , Erich J. Mueller

The doped two-dimensional quantum dimer model is investigated by numerical techniques on the square and triangular lattices, with significantly different results. On the square lattice, at small enough doping, there is always a phase…

Strongly Correlated Electrons · Physics 2007-10-08 A. Ralko , F. Mila , D. Poilblanc

We consider a mixture of two-component Fermi gases at low temperature. The density profile of this degenerate Fermi gas is calculated under the semiclassical approximation. The results show that the fermion-fermion interactions make a large…

Quantum Physics · Physics 2009-11-10 X. X. Yi , H. J. Wang , H. T. Cui , C. M. Zhang

We introduce a new platform for quantum simulation of many-body systems based on nonspherical atoms or molecules with zero dipole moment but possessing a significant value of electric quadrupole moment. We consider a quadrupolar Fermi gas…

Quantum Gases · Physics 2013-11-21 Satyan G. Bhongale , Ludwig Mathey , Erhai Zhao , Susanne F. Yelin , Mikhail Lemeshko

Ground-state properties of fermionic mixtures confined in a one-dimensional optical lattice are studied numerically within the spinless Falicov-Kimball model with a harmonic trap. A number of remarkable results are found. (i) At low…

Strongly Correlated Electrons · Physics 2009-11-13 Pavol Farkasovsky

We consider classical hard-core particles moving on two parallel chains in the same direction. An interaction between the channels is included via the hopping rates. For a ring, the stationary state has a product form. For the case of…

Statistical Mechanics · Physics 2011-07-13 Vladislav Popkov , Ingo Peschel

We study the ground-state properties of a two-component one-dimensional system of a few ultra-cold fermions with attractive interactions. We show that, by ramping up an external potential barrier felt by one of the components, it is…

Quantum Gases · Physics 2021-11-15 Jacek Dobrzyniecki , Giuliano Orso , Tomasz Sowiński

Interacting Fermi gases with equal populations but unequal masses are investigated at zero temperature using local density approximation and the hydrodynamic theory of superfluids in the presence of harmonic trapping. We derive the…

Soft Condensed Matter · Physics 2009-11-13 G. Orso , L. P. Pitaevskii , S. Stringari

We analyze the ground state properties of Bose-Fermi mixtures using a mean-field treatment of the boson-fermion interaction on a simple cubic lattice. In the deep superfluid limit of the bosonic sector and the BCS regime of the fermion…

Quantum Gases · Physics 2016-10-24 Marin Bukov , Lode Pollet

We study theoretically interspecies Cooper pairing in a fermionic system with SU(2)xSU(6) sym- metry. We show that, with suitable unitary transformations, the order parameter for the ground state can be reduced to only two non-vanishing…

Quantum Gases · Physics 2015-05-27 S. -K. Yip

Superconductivity owes its properties to the phase of the electron pair condensate that breaks the $U(1)$ symmetry. In the most traditional ground state, the phase is uniform and rigid. The normal state can be unstable towards special…

Superconductivity · Physics 2020-02-05 P. Holmvall , M. Fogelström , T. Löfwander , A. B. Vorontsov

Understanding competing instabilities in systems with correlated fermions remains one of the holy grails of modern condensed matter physics. Among the fermionic lattice models used to this effect, the extended Hubbard model occupies a prime…

Strongly Correlated Electrons · Physics 2024-01-09 E. Linnér , C. Dutreix , S. Biermann , E. A. Stepanov

We suggest an experimentally feasible procedure to observe paired and counterflow superfluidity in ultra-cold atom systems. We study the time evolution of one-dimensional mixtures of bosonic atoms in an optical lattice following an abrupt…

Quantum Gases · Physics 2015-03-19 Anzi Hu , L. Mathey , Eite Tiesinga , Ippei Danshita , Carl J. Williams , Charles W. Clark

Ultracold mixtures of different atomic species have great promise for realizing novel many-body phenomena. In a binary mixture of femions with a large mass difference and repulsive interspecies interactions, a disordered Mott insulator…

Quantum Gases · Physics 2014-07-04 Anzi Hu , M. M. Maśka , Charles W. Clark , J. K. Freericks

Phase separation in the Hubbard model is investigated with the dynamical cluster approximation. We find that it is present in the paramagnetic solution for values of filling smaller than one and at finite temperature when a positive…

Strongly Correlated Electrons · Physics 2007-05-23 A. Macridin , M. Jarrell , Th. Maier

An upper bound is derived for $\Delta$ for a cold dilute fluid of equal amounts of two species of fermion in the unitary regime $k_f a \to \infty$ (where $k_f$ is the Fermi momentum and $a$ the scattering length, and $\Delta$ is a pairing…

Statistical Mechanics · Physics 2008-11-26 Thomas D. Cohen

The phase diagram of a non-relativistic fermionic system with imbalanced state populations interacting via a short-range S-wave attractive interaction is analyzed in the mean field approximation. We determine the energetically favored state…

Superconductivity · Physics 2008-11-26 Massimo Mannarelli , Giuseppe Nardulli , Marco Ruggieri

A dilute atomic-molecular fermion in a trap acquires a rather complex layered spatial structure. At very low temperatures, typically at the center of the trap, a superfluid bosonic core is formed out of dimers, weakly bound pairs of…

Statistical Mechanics · Physics 2007-05-23 Aurel Bulgac

Spatially uniform electric fields have been used to induce instabilities in liquids and polymers, and to orient and deform ordered phases of block-copolymers. Here we discuss the demixing phase transition occurring in liquid mixtures when…

Statistical Mechanics · Physics 2015-05-13 G. Marcus , Y. Tsori