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We study finite-temperature properties of strongly correlated fermions in two-dimensional optical lattices by means of numerical linked cluster expansions, a computational technique that allows one to obtain exact results in the…

Strongly Correlated Electrons · Physics 2015-03-13 Ehsan Khatami , Marcos Rigol

We consider a gas of non-interacting spinless fermions in a rotating optical lattice and calculate the density profile of the gas in an external confinement potential. The density profile exhibits distinct plateaus, which correspond to gaps…

Mesoscale and Nanoscale Physics · Physics 2008-04-15 R. O. Umucalilar , Hui Zhai , M. O. Oktel

The paper deals with the properties of thermally excited solitons of the isotropic spin-$S$ ferromagnetic chain with nearest-neighbor logarithmic interactions. The exact statistical mechanics of the interacting soliton gas is developed for…

Condensed Matter · Physics 2007-06-19 N. Theodorakopoulos

We design an atomtronic filter device that spatially separates the components of a two-component Fermi gas with repulsive contact interactions in a two-dimensional geometry. With the aid of density--potential functional theory (DPFT), which…

We present comparatively simple two-dimensional and three-dimensional checkerboard-like optical lattices possessing nontrivial topological properties. By simple tuning of the parameters these lattices can have a topological insulating…

Quantum Gases · Physics 2015-03-11 Tomi Paananen , Thomas Dahm

Topological insulators and their intriguing edge states can be understood in a single-particle picture and can as such be exhaustively classified. Interactions significantly complicate this picture and can lead to entirely new insulating…

Strongly Correlated Electrons · Physics 2013-09-10 Emil J. Bergholtz , Zhao Liu

Can a gas of spin-up and spin-down fermions become ferromagnetic due to repulsive interactions? This question which has not yet found a definitive theoretical answer was addressed in an experiment with an ultracold two-component Fermi gas.…

A quantum anti-ferromagnetic spin-1 model is characterised on a 2D lattice with the following requirements: i) The Hamiltonian is made out of nearest neighbour interactions. ii) It is homogeneous, translational and rotational invariant.…

Strongly Correlated Electrons · Physics 2008-11-26 E. Rico , H. J. Briegel

Quantum gas microscopes have expanded the capabilities of quantum simulation of Hubbard models by enabling the study of spatial spin and density correlations in square lattices. However, quantum gas microscopes have not been realized for…

Quantum Gases · Physics 2021-06-22 Jin Yang , Liyu Liu , Jirayu Mongkolkiattichai , Peter Schauss

Fulde-Ferrell (FF) Larkin-Ovchinnikov (LO) phases were proposed for superconductors or superfluids in strong magnetic field. With the experimental progresses in ultracold atomic systems, topological FFLO phases has also been put forward,…

Quantum Gases · Physics 2017-06-21 Long-Fei Guo , Peng Li , Su Yi

We describe an experimental protocol for introducing spin-dependent lattice structure in a cold atomic fermi gas using lasers. It can be used to realize Hubbard models whose hopping parameters depend on spin and whose interaction strength…

Superconductivity · Physics 2016-08-31 W. Vincent Liu , Frank Wilczek , Peter Zoller

Understanding the magnetic response of the normal state of the cuprates is considered a key piece in solving the puzzle of their high-temperature superconductivity. The essential physics of these materials is believed to be captured by the…

We propose a method to prepare a sample of fermionic atoms in a three-dimensional (3D) optical lattice at unprecedentedly low temperatures and uniform filling factors. The process involves adiabatic loading of atoms into multiple energy…

Statistical Mechanics · Physics 2008-04-21 J. R. Williams , J. H. Huckans , R. W. Stites , E. L. Hazlett , K. M. O'Hara

We study the topological properties of an antiferromagnetic phase with reflection symmetry in three-dimensional heavy-fermion systems. We here propose a reflection-symmetric topological state in the three-dimensional antiferromagnetic phase…

Strongly Correlated Electrons · Physics 2020-04-22 Kazuhiro Kimura , Tsuneya Yoshida , Norio Kawakami

We propose a method to reach the antiferromagnetic state of two-dimensional Fermi gases trapped in optical lattices: Independent subsystems are prepared in suitable initial states and then connected by a sudden or slow quench of the…

Quantum Gases · Physics 2016-12-20 M. Ojekhile , R. Höppner , H. Moritz , L. Mathey

We investigate the zero-temperature phase diagram of two-orbital SU(N) fermionic models at incommensurate filling which are directly relevant to strontium and ytterbium ultracold atoms loading into a one-dimensional optical lattice. Using a…

Strongly Correlated Electrons · Physics 2016-04-20 V. Bois , P. Fromholz , P. Lecheminant

We describe how optical dressing can be used to generate bandstructures for ultracold atoms with non-trivial Z_2 topological order. Time reversal symmetry is preserved by simple conditions on the optical fields. We first show how to…

Quantum Gases · Physics 2011-12-21 B. Béri , N. R. Cooper

We propose an interaction-induced cooling mechanism for two-component cold fermions in an optical lattice. It is based on an increase of the ``spin'' entropy upon localisation, an analogue of the Pomeranchuk effect in liquid Helium 3. We…

Strongly Correlated Electrons · Physics 2009-11-11 F. Werner , O. Parcollet , A. Georges , S. R. Hassan

We investigate the existence of topological phases in a dense two-dimensional atomic lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a non-trivial coherent long-range exchange interaction whose…

Quantum Physics · Physics 2017-10-18 Robert J. Bettles , Jiří Minář , Igor Lesanovsky , Charles S. Adams , Beatriz Olmos

Ultracold Fermi gases of spin-3/2 atoms provide a clean platform to realise SO(5) models of 4-Fermi interactions in the laboratory. By confining the atoms in a two-dimensional Raman lattice, we show how this system can be used as a flexible…

Quantum Gases · Physics 2023-08-29 A. Bermudez , D. González-Cuadra , S. Hands