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We propose a scheme to investigate the effect of frustration on the magnetic phase transitions of cold atoms confined in an optical lattice. We also demonstrate how to get two-leg spin ladders with frustrated spin-exchange coupling which…

Quantum Gases · Physics 2010-07-20 François Crépin , Roberta Citro , Pascal Simon

We present a scheme to implement a Fermi-Hubbard-like model in ultracold atoms in optical lattices and analyze the topological features of its ground state. In particular, we show that the ground state for appropriate parameters has a large…

Strongly Correlated Electrons · Physics 2014-07-16 Anne E. B. Nielsen , Germán Sierra , J. Ignacio Cirac

Using the micro-canonical picture of transport -- a framework ideally suited to describe the dynamics of closed quantum systems such as ultra-cold atom experiments -- we show that the exact dynamics of non-interacting fermions and bosons…

Quantum Gases · Physics 2012-04-11 Chih-Chun Chien , Michael Zwolak , Massimiliano Di Ventra

We study a gas of strongly polarized cold fermions in an optical lattice when the excited p-bands are populated. We derive the relevant Hamiltonian and discuss the expected phase diagram for both repulsive and attractive interactions. In…

Statistical Mechanics · Physics 2009-11-13 J. -P. Martikainen , E. Lundh , T. Paananen

The experimental realization of 2D Bose gases with a tunable interaction strength is an important challenge for the study of ultracold quantum matter. Here we report on the realization of an optical accordion creating a lattice potential…

In this paper, we study a strongly correlated quantum system that has become amenable to experiment by the advent of ultracold bosonic atoms in optical lattices, a chain of two different bosonic constituents. Excitations in this system are…

Statistical Mechanics · Physics 2009-11-13 Adrian Kleine , Corinna Kollath , Ian P. McCulloch , Thierry Giamarchi , Ulrich Schollwoeck

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 explore the universal properties of interacting fermionic lattice systems, mostly focusing on the development of pairing correlations from attractive interactions. Using renormalization group we identify a large number of fixed points…

Strongly Correlated Electrons · Physics 2013-05-29 Predrag Nikolic

The ground state of a spin-orbit-coupled Bose gas in a one-dimensional optical lattice is known to exhibit a mixed regime, where the condensate wave function is given by a superposition of multiple Bloch-wave components, and an unmixed one,…

Quantum Gases · Physics 2019-10-01 Giovanni I. Martone

A many body theory for a two-component system of spin polarized interacting fermions in a one-dimensional harmonic trap is developed. The model considers two different states of the same fermionic species and treats the dominant…

Quantum Physics · Physics 2009-11-07 Gao Xianlong , W. Wonneberger

Interacting two-component Fermi gases loaded in a one-dimensional (1D) lattice and subject to harmonic trapping exhibit intriguing compound phases in which fluid regions coexist with local Mott-insulator and/or band-insulator regions.…

Strongly Correlated Electrons · Physics 2007-05-23 Gao Xianlong , M. Polini , B. Tanatar , M. P. Tosi

The dispersion relation of ultracold atoms in variably shaped optical lattices can be tuned to resemble that of a relativistic particle, i.e. be linear instead of the usual nonrelativistic quadratic dispersion relation of a free atom. Cold…

Quantum Gases · Physics 2016-09-21 Christopher Grossert , Martin Leder , Martin Weitz

We report on the realization of a strongly interacting quantum degenerate gas of fermionic atoms in a three-dimensional optical lattice. We prepare a band-insulating state for a two-component Fermi gas with one atom per spin state per…

Other Condensed Matter · Physics 2007-05-23 Michael Köhl , Kenneth Günter , Thilo Stöferle , Henning Moritz , Tilman Esslinger

We calculate the shift, due to interatomic interactions, of an optical transition in an atomic Fermi gas trapped in an optical lattice, as in recent experiments of Campbell {\it et al.}, Science {\bf 324}, 360 (2009). Using a pseudospin…

Quantum Gases · Physics 2010-01-11 Zhenhua Yu , C. J. Pethick

We study superconductivity in an ultracold Bose-Fermi mixture loaded into a square optical lattice subjected to a staggered flux. While the bosons form a superfluid at very low temperature and weak interaction, the interacting fermions…

Quantum Gases · Physics 2010-07-15 Lih-King Lim , Achilleas Lazarides , Andreas Hemmerich , C. Morais Smith

We calculate density-density correlations of an expanding gas of strongly attractive ultra-cold spin-1/2 fermions in an optical lattice. The phase diagram of the tightly bound fermion pairs exhibits a Bose-Einstein condensed state and a…

Quantum Gases · Physics 2010-03-10 O. Fialko , K. Ziegler

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 study superfluid properties of fermions on a 2D lattice using a finite-range pairing interaction derivable from an extended Hubbard model. We obtain signatures of unconventional pair-symmetry states, $d_{x^2-y^2}$ and extended-s ($s^*$),…

Superconductivity · Physics 2007-10-02 Dusan Volcko , Khandker F. Quader

We demonstrate that there exist stationary states of Bose-Einstein condensates in an optical lattice that do not satisfy the usual Bloch periodicity condition. Using the discrete model appropriate to the tight-binding limit we determine…

Soft Condensed Matter · Physics 2009-11-10 M. Machholm , A. Nicolin , C. J. Pethick , H. Smith

We study the interplay between large-spin, spin-orbit coupling, and superfluidity for bosons in a two dimensional optical lattice, focusing on the spin-1 spin-orbit coupled system recently realized at the Joint Quantum Institute [Campbell…

Quantum Gases · Physics 2016-02-10 J. H. Pixley , Stefan S. Natu , I. B. Spielman , S. Das Sarma