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Optical lattices serve as fundamental building blocks for atomic quantum technology. However, the scale and resolution of these lattices are diffraction-limited to the light wavelength. In conventional lattices, achieving tight confinement…

Quantum Physics · Physics 2025-01-15 Mohammadsadegh Khazali

We address the problem posed by the inhomogeneous trapping fields when using ultracold fermions to simulate strongly correlated electrons. As a starting point, we calculate the density of states for a single atom. Using semiclassical…

Statistical Mechanics · Physics 2007-05-23 C. Hooley , J. Quintanilla

Motivated by the prospect of optical lattice experiments with two-component Fermi gases consisting of different atomic species such as Li and K, we calculate the energies for N fermions under harmonic confinement as a function of the mass-…

Other Condensed Matter · Physics 2009-11-13 D. Blume

We realize and study the ionic Hubbard model using an interacting two-component gas of fermionic atoms loaded into an optical lattice. The bipartite lattice has honeycomb geometry with a staggered energy-offset that explicitly breaks the…

A theoretical approach is described for an exact numerical treatment of a pair of ultracold atoms interacting via a central potential that are trapped in a finite three-dimensional optical lattice. The coupling of center-of-mass and…

Atomic Physics · Physics 2015-05-28 Sergey Grishkevich , Simon Sala , Alejandro Saenz

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

A major challenge in realizing antiferromagnetic (AF) and superfluid phases in optical lattices is the ability to cool fermions. We determine the equation of state for the 3D repulsive Fermi-Hubbard model as a function of the chemical…

Quantum Gases · Physics 2015-05-28 Thereza Paiva , Yen Lee Loh , Mohit Randeria , Richard T. Scalettar , Nandini Trivedi

Despite the fact that by now one dimensional and three dimensional systems of interacting particles are reasonably well understood, very little is known on how to go from the one dimensional physics to the three dimensional one. This is in…

Strongly Correlated Electrons · Physics 2009-11-11 M. A. Cazalilla , A. F. Ho , T. Giamarchi

Shell effects in the coordinate space can be seen with degenerate Fermi vapors in non-uniform trapping potentials. In particular, below the Fermi temperature, the density profile of a Fermi gas in a confining harmonic potential is…

Statistical Mechanics · Physics 2016-11-23 L. Salasnich , A. Parola , L. Reatto

In the absence of decoherence the current of fermionic particles across a finite lattice connecting two reservoirs (leads) with different chemical potentials is known to be ballistic. It is also known that decoherence typically suppresses…

Quantum Physics · Physics 2026-04-15 Andrey R. Kolovsky

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 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 investigate the properties of trapped Bose-Fermi mixtures for experimentally relevant parameters in one dimension. The effect of the attractive Bose-Fermi interaction onto the bosons is to deepen the parabolic trapping potential, and to…

Other Condensed Matter · Physics 2008-03-03 Lode Pollet , Corinna Kollath , Ulrich Schollwoeck , Matthias Troyer

The interference patterns of ultracold atoms, observed after ballistic expansion from optical lattices, encode essential information about strongly correlated lattice systems, including phase coherence and non-local correlations. While the…

We propose a novel scheme for asymmetric light diffraction of a weak probe field into a one-dimensional (1D) and two-dimensional (2D) lattice occupied with cold atoms. The atoms are driven into the double lambda-type configuration by a…

Quantum Physics · Physics 2020-10-12 Ali Akbar Naeimi , Elham Darabi , Ali Mortezapour , Ghasem Naeimi

We show that multiple layered Dirac cones can emerge in the band structure of properly addressed multicomponent cold fermionic gases in optical lattices. The layered Dirac cones contain multiple copies of massless spin-1/2 Dirac fermions at…

Quantum Physics · Physics 2012-01-04 Z. Lan , A. Celi , W. Lu , P. Ohberg , M. Lewenstein

We investigate the transport properties of neutral, fermionic atoms passing through a one-dimensional quantum wire containing a mesoscopic lattice. The lattice is realized by projecting individually controlled, thin optical barriers on top…

We consider the spontaneous formation of striped structures in a holographic model which possesses explicit translational symmetry breaking, dual to an ionic lattice with spatially modulated chemical potential. We focus on the perturbative…

High Energy Physics - Theory · Physics 2017-04-04 Tomas Andrade , Alexander Krikun

Topological superfluids are of technological relevance since they are believed to host Majorana bound states, a powerful resource for quantum computation and memory. Here we propose to realize topological superfluidity with fermionic atoms…

Quantum Gases · Physics 2017-10-10 L. Isaev , A. Kaufman , G. Ortiz , A. M. Rey

We investigate a system of fermions on a two-dimensional optical square lattice in the strongly repulsive coupling regime. In this case, the interactions can be controlled by laser intensity as well as by Feshbach resonance. We compare the…

Quantum Gases · Physics 2015-05-27 S. Y. Chang , S. Pathak , N. Trivedi