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The entropy-temperature curves are calculated for non-interacting Bose and Fermi gases in a 3D optical lattice. These curves facilitate understanding of how adiabatic changes in the lattice depth affect the temperature, and we demonstrate…

Statistical Mechanics · Physics 2009-11-11 P. B. Blakie , A. -M. Rey , A. Bezett

We study a three-components fermionic gas loaded in a one-dimensional optical trap at half-filling. We find that the system is fully gapped and may order into 8 possible phases: four 2$k_F$ atomic density wave and spin-Peierls phases with…

Strongly Correlated Electrons · Physics 2010-11-15 Patrick Azaria

We study the effective Bloch-wave scattering of a spinless Fermi gas in one-dimensional (1D) optical lattices. By tuning the odd-wave scattering length, we find multiple resonances of Bloch-waves scattering at the bottom (and the top) of…

Quantum Gases · Physics 2017-06-01 Xiaoling Cui

We prepare a degenerate Fermi gas of potassium atoms by sympathetic cooling with rubidium atoms in a one-dimensional optical lattice. In a tight lattice we observe a change of the density of states of the system, which is a signature of…

Soft Condensed Matter · Physics 2009-11-10 G. Modugno , F. Ferlaino , R. Heidemann , G. Roati , M. Inguscio

We propose to realize the itinerant ferromagnetism of two-component cold fermionic atoms in the $p$-orbital bands in optical lattices. The band flatness in the two-dimensional honeycomb lattice dramatically amplifies the interaction effect…

Strongly Correlated Electrons · Physics 2010-11-18 Shizhong Zhang , Hsiang-hsuan Hung , Congjun Wu

We present an ab initio study of the ground state of an ideal coupled two-component gas of ultracold atoms in a one dimensional optical lattice, either bosons or fermions. Due to the internal two-level structure of the atoms, the Brillouin…

Other Condensed Matter · Physics 2009-01-08 Jonas Larson , Jani-Petri Martikainen

We consider Feshbach scattering of fermions in a one-dimensional optical lattice. By formulating the scattering theory in the crystal momentum basis, one can exploit the lattice symmetry and factorize the scattering problem in terms of…

Atomic and Molecular Clusters · Physics 2009-11-13 M. Grupp , R. Walser , W. P. Schleich , A. Muramatsu , M. Weitz

A gas of ultracold interacting quantum degenerate Fermions is considered in a three dimensional optical lattice which is externally modulated in the fre- quency and the amplitude. This theoretical study utilizes the Keldysh formalism to…

Quantum Gases · Physics 2014-01-21 Regine Frank

We have loaded an ultracold gas of fermionic atoms into a far off resonance optical dipole trap and precisely controlled the spin composition of the trapped gas. We have measured a magnetic-field Feshbach resonance between atoms in the two…

Statistical Mechanics · Physics 2009-11-07 T. Loftus , C. A. Regal , C. Ticknor , J. L. Bohn , D. S. Jin

Atom and molecule currents in a Fermi gas in the neighborhood of a Feshbach resonance are studied in a one-dimensional optical ring lattice by directly diagonalizing small models. A rotational analogy of flux quantization is used to show…

Quantum Physics · Physics 2007-06-12 T. Wang J. Javanainen S. F. Yelin

We report on fundamental properties of superfluids with d-wave pairing symmetry. We consider neutral atomic Fermi gases in a harmonic trap, the pairing being produced by a Feshbach resonance via a d-wave interaction channel. A…

Superconductivity · Physics 2009-11-10 H. M. Adachi , Y. Tsutsumi , J. A. M. Huhtamäki , K. Machida

We propose an easy to use model to solve for interacting atoms in an optical lattice. This model allows for the whole range of weakly to strongly interacting atoms, and it includes the coupling between relative and center-of-mass motion via…

Other Condensed Matter · Physics 2008-07-01 Johan Mentink , Servaas Kokkelmans

We consider a single quantum particle in a spherical box interacting with a fixed scatterer at the center, to construct a model of a degenerate atomic Fermi gas close to a Feshbach resonance. One of the key predictions of the model is the…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko , Yvan Castin

The Fermi-Hubbard model is a key concept in condensed matter physics and provides crucial insights into electronic and magnetic properties of materials. Yet, the intricate nature of Fermi systems poses a barrier to answer important…

Quantum Gases · Physics 2015-05-19 Tilman Esslinger

We theoretically investigate the enhanced localization of bosonic atoms by fermionic atoms in three-dimensional optical lattices and find a self-trapping of the bosons for attractive boson-fermion interaction. Because of this mutual…

Other Condensed Matter · Physics 2008-08-01 Dirk-Sören Lühmann , Kai Bongs , Klaus Sengstock , Daniela Pfannkuche

We induce strong non-local interactions in a 2D Fermi gas in an optical lattice using Rydberg dressing. The system is approximately described by a $t-V$ model on a square lattice where the fermions experience isotropic nearest-neighbor…

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 present exact results for the spectra of three fermionic atoms in a single well of an optical lattice. For the three lowest hyperfine states of Li6 atoms, we find a Borromean state across the region of the distinct pairwise Feshbach…

Other Condensed Matter · Physics 2008-11-26 T. Luu , A. Schwenk

We have measured the interaction energy and three-body recombination rate for a two-component Fermi gas near a narrow Feshbach resonance and found both to be strongly energy dependent. Even for deBroglie wavelengths greatly exceeding the…

Quantum Gases · Physics 2015-06-03 E. L. Hazlett , Y. Zhang , R. W. Stites , K. M. O'Hara

We investigate the effect of the anisotropy between the s-wave scattering lengths of a three-component atomic Fermi gas loaded into a one-dimensional optical lattice. We find four different phases which support trionic instabilities made of…

Strongly Correlated Electrons · Physics 2009-11-09 P. Azaria , S. Capponi , P. Lecheminant