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We discuss the properties of quasi-1D quantum gases of fermionic atoms using the Luttinger liquid theory, including the presence of an optical lattice and of a longitudinal trapping potential. We analyze in particular the nature and…

Strongly Correlated Electrons · Physics 2018-03-14 A. Recati , P. O. Fedichev , W. Zwerger , P. Zoller

We investigate different ground-state phases of attractive spin-imbalanced populations of fermions in 3-dimensional optical lattices. Detailed numerical calculations are performed using Hartree-Fock-Bogoliubov theory to determine the…

Quantum Gases · Physics 2015-05-20 Peter Rosenberg , Simone Chiesa , Shiwei Zhang

We study a quasi two-dimensional superfluid Fermi gas where the confinement in the third direction is due to a strong harmonic trapping. We investigate the behavior of such a system when the chemical potential is varied and find strong…

Superconductivity · Physics 2009-11-11 J. -P. Martikainen , Paivi Torma

We investigate the phase separation in one-dimensional Fermi gases on optical lattices. The density distributions and the magnetization are calculated by means of density-matrix renormalization method. The phase separation between spin-up…

Quantum Gases · Physics 2015-05-18 A-Hai Chen , Gao Xianlong

In two-dimensional topological phases, quasiparticle excitations can carry fractional symmetry quantum numbers. We generalize this notion of symmetry fractionalization to three-dimensional topological phases, in particular to loop…

Strongly Correlated Electrons · Physics 2015-11-12 Meng Cheng

The joint action of a synthetic gauge potential and of atomic contact repulsion in a one-dimensional alkaline-earth(-like) fermionic gas with nuclear spin I leads to the existence of a hierarchy of fractional insulating and conducting…

Quantum Gases · Physics 2015-10-28 S. Barbarino , L. Taddia , D. Rossini , L. Mazza , R. Fazio

We study finite-temperature properties of ultracold four-component mixtures of alkaline-earth-like atoms in optical lattices that can be effectively described by the two-band spin-$1/2$ Hubbard model including the Hund's exchange coupling…

Quantum Gases · Physics 2016-05-31 Agnieszka Cichy , Andrii Sotnikov

We investigate the Mott transitions of three-component (colors) repulsive fermionic atoms in optical lattices using the dynamical mean field theory. We find that for SU(3) symmetry breaking interactions the Mott transition occurs at…

Quantum Gases · Physics 2010-12-14 Kensuke Inaba , Shin-ya Miyatake , Sei-ichiro Suga

Ultracold fermionic gases in optical lattices give a great opportunity for creating different types of novel states. One of them is phase separation induced by a trapping potential between different types of superfluid phases. The…

Quantum Gases · Physics 2019-05-06 Agnieszka Cichy , Konrad Jerzy Kapcia , Andrzej Ptok

We report on trapping of fermionic 40K atoms in a red-detuned standing-wave optical trap, loaded from a magneto-optical trap. Typically, 10^6 atoms are loaded at a density of 10^12 cm^-3 and a temperature of 65 microK, and trapped for more…

Atomic Physics · Physics 2009-11-06 G. Roati , W. Jastrzebski , A. Simoni , G. Modugno , M. Inguscio

We consider repulsively-interacting cold fermionic atoms loaded on an optical ladder lattice in a trapping potential. The density-matrix renormalization-group method is used to numerically calculate the ground state for systematically…

Quantum Gases · Physics 2011-04-25 M. Okumura , S. Yamada , M. Machida , H. Aoki

We study pairing of an interacting three component Fermi gas in two dimensions. By using a mean field theory to decouple the interactions between different pairs of Fermi components, we study the free energy landscapes as a function of…

Other Condensed Matter · Physics 2021-09-08 Theja N. De Silva

We investigate the pairing and crystalline instabilities of bosonic and fermionic polar molecules confined to a ladder geometry. By means of analytical and quasi-exact numerical techniques, we show that gases of composite molecular dimers…

Quantum Gases · Physics 2015-03-19 M. Dalmonte , P. Zoller , G. Pupillo

The formation and dissociation of bosonic molecules in an optical lattice, formed by spin-1/2 fermionic atoms, is considered in the presence of an attractive nearest-neighbor interaction. A mean-field approximation reveals three different…

Superconductivity · Physics 2007-05-23 K. Ziegler

We investigate one dimensional attractive Fermi gases in spin-dependent optical lattices. We show that three-body bound states - "trimers" - exist as soon as the two tunneling rates are different. We calculate the binding energy and the…

Quantum Gases · Physics 2015-05-13 Giuliano Orso , Evgeni Burovski , Thierry Jolicoeur

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 use all-optical methods to produce a highly-degenerate Fermi gas of spin-1/2 $^6$Li atoms. A magnetic field tunes the gas near a collisional (Feshbach) resonance, producing strong interactions between spin-up and spin-down atoms. This…

Other Condensed Matter · Physics 2009-11-13 A. Turlapov , J. Kinast , B. Clancy , Le Luo , J. Joseph , J. E. Thomas

The fermionic Hubbard model plays a fundamental role in the description of strongly correlated materials. Here we report on the realization of this Hamiltonian using a repulsively interacting spin mixture of ultracold $^{40}$K atoms in a 3D…

Strongly Correlated Electrons · Physics 2010-04-06 U. Schneider , L. Hackermuller , S. Will , Th. Best , I. Bloch , T. A. Costi , R. W. Helmes , D. Rasch , A. Rosch

The many-body physics in the dimensional crossover regime attracts much attention in cold atom experiments, but yet to explore systematically. One of the technical difficulties existed in the experiments is the lack of the experimental…

We study a two-dimensional atomic mixture of bosons and fermions cooled into their quantum degenerate states and subject to an optical lattice. The optical lattice provides van Hove singularities in the fermionic density of states. We find…

Soft Condensed Matter · Physics 2009-11-10 H. P. Büchler , G. Blatter