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We address the problem of computing the thermodynamic properties of the repulsive one-dimensional two-component Fermi gas with contact interaction, also known as the Gaudin-Yang model. Using a specific lattice embedding and the quantum…

Quantum Gases · Physics 2016-03-23 Ovidiu I. Patu , Andreas Klumper

We construct the complete $U$-$\mu$ phase diagram for harmonically confined ultracold fermionic atoms with repulsive and attractive interactions. ($\mu$ is the chemical potential and $U$ the interaction strength.) Our approach is based on…

Strongly Correlated Electrons · Physics 2015-06-25 V. L. Campo , K. Capelle

We study a one-dimensional interacting topological model by means of exact diagonalization method. The topological properties are firstly examined with the existence of the edge states at half-filling. We find that the topological phases…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Huaiming Guo , Shun-Qing Shen

We study magnetic phases of two-component mixtures of ultracold fermions with repulsive interactions in optical lattices in the presence of hopping imbalance. Our analysis is based on dynamical mean-field theory (DMFT) and its real-space…

Quantum Gases · Physics 2012-08-14 Andrii Sotnikov , Daniel Cocks , Walter Hofstetter

We theoretically investigate thermodynamic properties in a quasi-one-dimensional single-component dipolar Fermi gas at finite temperatures. The self-bound fermionic droplet can be achieved by exchange correlations with the long-range…

Quantum Gases · Physics 2025-12-11 Lanxuan Gao , Koki Takayama , Hiroyuki Tajima , Takahiro M. Doi , Haozhao Liang

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

The quest for quantum degenerate Fermi gases interacting through the anisotropic and long-range dipole-dipole interaction is an exciting and fast developing branch within the cold-atoms research program. Recent experimental progress in…

Quantum Gases · Physics 2011-09-09 Aristeu R. P. Lima , Axel Pelster

Fermi gases confined in tight one-dimensional waveguides form two-particle bound states of atoms in the presence of a strongly attractive interaction. Based on the exact solution of the one-dimensional spin-1/2 interacting Fermi gas, we…

Quantum Gases · Physics 2015-03-17 Liming Guan , Shu Chen

Recently a novel approach to find approximate exchange-correlation functionals in density-functional theory (DFT) was presented (U. Mordovina et. al., JCTC 15, 5209 (2019)), which relies on approximations to the interacting wave function…

Chemical Physics · Physics 2021-03-04 Iris Theophilou , Teresa E. Reinhard , Angel Rubio , Michael Ruggenthaler

We describe a model for s-wave collisions between ground state atoms in optical lattices, considering especially the limits of quasi-one and two dimensional axisymmetric harmonic confinement. When the atomic interactions are modelled by an…

Quantum Physics · Physics 2009-11-10 E. L. Bolda , E. Tiesinga , P. S. Julienne

We systematically test a quasi-classical spin model of a large spin-lattice in energy space, with a tunable, reversible Hamiltonian and effective long-range interactions. The system is simulated by a weakly interacting Fermi gas undergoing…

Quantum Gases · Physics 2023-12-04 J. Huang , Camen A. Royse , I. Arakelyan , J. E. Thomas

We report on the deterministic preparation of antiferromagnetic Heisenberg spin chains consisting of up to four fermionic atoms in a one-dimensional trap. These chains are stabilized by strong repulsive interactions between the two spin…

We numerically study imbalanced two component Fermi gases with attractive interactions in highly elongated harmonic traps. An accurate parametrization formula for the ground state energy is presented for a spin-polarized attractive…

Strongly Correlated Electrons · Physics 2008-03-20 Gao Xianlong , Reza Asgari

We derive the first few terms of the asymptotic expansion of the Fredholm equations for one-dimensional $\kappa$-component fermions with repulsive and with attractive delta-function interaction in strong and weak coupling regimes. We thus…

Quantum Gases · Physics 2012-03-27 Xi-Wen Guan , Zhong-Qi Ma , Brendan Wilson

We calculate the phonon-dispersion relations of several two-dimensional materials and diamond using the density-functional based tight-binding approach (DFTB). Our goal is to verify if this numerically efficient method provides sufficiently…

Materials Science · Physics 2019-09-04 Thomas A. Niehaus , Sigismund T. A. G. Melissen , Balint Aradi , S. Mehdi Vaez Allaei

We derive analytical expressions for the frequency and damping of the lowest collective modes of a two-dimensional Fermi gas using kinetic theory. For strong coupling, we furthermore show that pairing correlations overcompensate the effects…

Quantum Gases · Physics 2013-05-30 Stefan K. Baur , Enrico Vogt , Michael Köhl , Georg M. Bruun

Fermi gases with repulsive interactions are characterized by measuring their compressibility as a function of interaction strength. The compressibility is obtained from in-trap density distributions monitored by phase contrast imaging. For…

The rapid progress in the production and cooling of molecular gases indicates that experimental studies of quantum gases with a strong dipolar interaction is soon within reach. Dipolar gases are predicted to exhibit very rich physics…

Quantum Gases · Physics 2014-10-09 J. K. Block , G. M. Bruun

We characterize the Mott insulating regime of a repulsively interacting Fermi gas of ultracold atoms in a three-dimensional optical lattice. We use in-situ imaging to extract the central density of the gas, and to determine its local…

P-wave interaction in cold atoms may give rise to exotic topological superfluids. However, the realization of p-wave interaction in cold atom system is experimentally challenging. Here we propose a simple scheme to synthesize effective…

Quantum Gases · Physics 2016-03-31 Bin Wang , Zhen Zheng , Han Pu , Xubo Zou , Guangcan Guo
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