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Recent experiments demonstrate the ability to construct cold atom mixtures with species selective optical lattices. This allows for the possibility of a mixed-dimension system, where one fermionic atomic species is confined to a two…

Quantum Gases · Physics 2018-01-10 Shane Kelly , S. -W. Tsai

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 investigate the strongly correlated effect of cold atoms in triangular optical lattice by dynamical cluster approximation combining with the continuous time quantum Monte Carlo method proposed recently. It is found the double occupancy…

Quantum Gases · Physics 2010-07-16 Yao-Hua Chen , Wei Wu , Hong-Shuai Tao , Wu-Ming Liu

Dependence of the confinement transition parameters on the fermion content provides information on the mechanism of confinement. Recent progress in lattice gauge theories has allowed to study it for light flavor number $N_f\sim O(10)$ and…

High Energy Physics - Phenomenology · Physics 2015-06-05 Jinfeng Liao , Edward Shuryak

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

Quantum Physics · Physics 2013-05-29 Sergey Grishkevich , Alejandro Saenz

We report on the experimental observation of an analog to a persistent alternating photocurrent in an ultracold gas of fermionic atoms in an optical lattice. The dynamics is induced and sustained by an external harmonic confinement. While…

Quantum Gases · Physics 2013-02-22 J. Heinze , J. S. Krauser , N. Fläschner , B. Hundt , S. Götze , A. P. Itin , L. Mathey , K. Sengstock , C. Becker

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 show that, for fermionic atoms in a one-dimensional optical lattice, the fraction of atoms in doubly occupied sites is a highly non-monotonic function of temperature. We demonstrate that this property persists even in the presence of…

Quantum Gases · Physics 2012-04-30 V. L. Campo , K. Capelle , C. Hooley , J. Quintanilla , V. W. Scarola

We examine here the classical dynamics of cold atoms in square optical lattices, i.e. lattices obtained with two orthogonal stationary plane waves. Contrary to much of the past studies in this domain, the potential is here time independent…

Atomic Physics · Physics 2015-05-13 Daniel Hennequin , Philippe Verkerk

The spin-fermion model was previously successful to describe the complex phase diagrams of colossal magnetoresistive manganites and iron-based superconductors. In recent years, two-dimensional magnets have rapidly raised up as a new…

Strongly Correlated Electrons · Physics 2023-08-22 Kaidi Xu , Di Hu , Jun Chen , Haoshen Ye , Lin Han , Shan-Shan Wang , Shuai Dong

We determine the ground-state energy and Tan's contact of attractively interacting few-fermion systems in a one-dimensional harmonic trap, for a range of couplings and particle numbers. Complementing those results, we show the corresponding…

Quantum Gases · Physics 2015-06-09 C. E. Berger , E. R. Anderson , J. E. Drut

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

We investigate effects of optical lattice potential in one- and two-dimensional two-component trapped Fermi gases with population imbalances. Using the exact diagonalization and the density matrix renormalization group methods…

Strongly Correlated Electrons · Physics 2008-06-05 M. Machida , S. Yamada , M. Okumura , Y. Ohashi , H. Matsumoto

We study the limit of large onsite repulsion of the one-dimensional Bose-Hubbard model at low densities, and derive a strong-coupling effective Hamiltonian. By taking the lattice parameter to zero, the Hamiltonian becomes a continuum model…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. A. Cazalilla

Confinement is a paradigmatic phenomenon of gauge theories, and its understanding lies at the forefront of high-energy physics. Here, we study confinement in a simple one-dimensional $\mathbb{Z}_2$ lattice gauge theory at finite temperature…

Quantum Gases · Physics 2025-09-23 Matjaž Kebrič , Jad C. Halimeh , Ulrich Schollwöck , Fabian Grusdt

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

We study the dynamics of two strongly-interacting fermions moving in 2D lattices under the action of a periodic electric field, both with and without a magnetic flux. Due to the interaction, these particles bind together forming a doublon.…

Quantum Gases · Physics 2019-11-22 Miguel Bello , Charles E. Creffield , Gloria Platero

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

A measurement technique is described which has the potential to map the atomic site occupancies of ultracold atoms in a short-period three-dimensional optical lattice. The method uses accordion and pinning lattices, together with…

Quantum Gases · Physics 2013-05-29 Martin Shotter

At present, there is considerable interest in using atomic fermions in optical lattices to emulate the mathematical models that have been used to study strongly correlated electronic systems. Some of these models, such as the two…

Quantum Gases · Physics 2015-05-13 Tin-Lun Ho , Qi Zhou
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