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In a solid material strong interactions between the electrons can lead to surprising properties. A prime example is the Mott insulator, where the suppression of conductivity is a result of interactions and not the consequence of a filled…

Other Condensed Matter · Physics 2010-01-21 Robert Jördens , Niels Strohmaier , Kenneth Günter , Henning Moritz , Tilman Esslinger

We calculate several thermodynamic quantities for repulsively interacting one-dimensional fermions.We solve the Hubbard model at both zero and finite temperatures using the Bethe-ansatz method. For arbitrary values of the chemical…

Quantum Gases · Physics 2015-05-20 Andrew Snyder , Iori Tanabe , Theja De Silva

We theoretically investigate the thermodynamics of an interacting inhomogeneous two-component Fermi gas in an optical lattice. Motivated by a recent experiment by L. Hackerm\"uller et al., Science, 327, 1621 (2010), we study the effect of…

By analyzing vortex lattices, re-entrant Cooper pairing and Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states in a single theoretical framework we explore how vortices and spin textures join to protect superconductivity against large magnetic…

Superconductivity · Physics 2013-05-29 Predrag Nikolic

We study a one-dimensional two-component Fermi gas in a harmonic trapping potential using finite temperature lattice quantum Monte Carlo methods. We are able to compute observables in the canonical ensemble via an efficient projective…

Quantum Gases · Physics 2023-09-14 Felipe Attanasio , Marc Bauer , Renzo Kapust , Jan M. Pawlowski

We use quantum Monte Carlo simulations to obtain zero-temperature state diagrams for strongly correlated lattice bosons in one and two dimensions under the influence of a harmonic confining potential. Since harmonic traps generate a…

Other Condensed Matter · Physics 2017-09-11 Marcos Rigol , George G. Batrouni , Valery G. Rousseau , Richard T. Scalettar

The experimental investigation of quantum phases in optical lattice systems provides major challenges. Recently, dynamical generation of double occupancy via modulation of the hopping amplitude t has been used to characterize the strongly…

Other Condensed Matter · Physics 2009-02-09 S. D. Huber , A. Rüegg

In this paper, we investigate the ground state properties of a mixture of two species of fermionic atoms in one-dimensional optical lattice, as described by the asymmetric Hubbard model. The quantum phase transition from density wave to…

Strongly Correlated Electrons · Physics 2009-11-11 Shi-Jian Gu , Rui Fan , Hai-Qing Lin

We propose an experiment to obtain the phase diagram of the fermionic Hubbard model, for any dimensionality, using cold atoms in optical lattices. It is based on measuring the total energy for a sequence of trap profiles. It combines…

Other Condensed Matter · Physics 2007-12-13 Vivaldo L. Campo , Klaus Capelle , Jorge Quintanilla , Chris Hooley

We examine antiferromagnetic and d-wave superfluid phases of cold fermionic atoms with repulsive interactions in a two-dimensional optical lattice combined with a harmonic trapping potential. For experimentally realistic parameters, the…

Strongly Correlated Electrons · Physics 2007-10-22 Brian M. Andersen , G. M. Bruun

Fermionic atoms trapped in a double well potential are an ideal setting to study fundamental exchange mechanisms. We use exact diagonalization and complementary analytic calculations to demonstrate that two trapped fermions deliver a…

Quantum Gases · Physics 2013-08-07 P. O. Bugnion , G. J. Conduit

We investigate separations of trapped balanced two-component atomic Fermi gases with repulsive contact interaction. Candidates for ground-state densities are obtained from the imaginary-time evolution of a nonlinear pseudo-Schr\"odinger…

Quantum Gases · Physics 2016-02-17 M. I. Trappe , P. Grochowski , M. Brewczyk , K. Rzążewski

We consider a cold two-species atomic Fermi gas confined in a trap. We combine the Hermitian coupling between the states (we assume them to be the states with different spins) with the Cooper pairing of atoms with these different spins.…

Quantum Gases · Physics 2017-03-10 E. A. Ayryan , K. G. Petrosyan , A. H. Gevorgyan , N. Sh. Izmailian , K. B. Oganesyan

We consider atomic mixtures of bosons and two-component fermions in an optical lattice potential. We show that if the bosons are in a Mott-insulator state with precisely one atom per lattice, the photoassociation of bosonic and fermionic…

Other Condensed Matter · Physics 2009-11-11 Takahiko Miyakawa , Pierre Meystre

The emission of light from an atom represents a fundamental process that provides valuable insights into the atom-light interaction. The Jaynes-Cummings model is one of the simplest fully quantized models to deal with these interactions,…

Quantum Physics · Physics 2024-07-11 J. L. T. Bertassoli , A. Vidiella-Barranco

We examine the phase diagram of a simple-cubic optical lattice half-filled by two species of fermionic atoms with a repulsive s-wave contact interaction. We use the Hartree approximation in the regime of weaker interactions, and a Hubbard…

Strongly Correlated Electrons · Physics 2009-08-25 C. J. M. Mathy , D. A. Huse

Ultracold fermionic gases in optical lattices give a great opportunity for creating different types of novel states. One of them is phase separation induced by a trapping potential between different types of superfluid phases. The…

Quantum Gases · Physics 2019-05-06 Agnieszka Cichy , Konrad Jerzy Kapcia , Andrzej Ptok

Recent advances in ultra-cold atomic Fermi gases make it possible to achieve a fermionic superfluid with multiple spin components. In this context, any mean-field description is expected to fail, owing to the presence of tightly bound…

Superconductivity · Physics 2009-11-13 Xia-Ji Liu , Hui Hu , Peter D. Drummond

We investigate the properties of a degenerate dilute gas of neutral fermionic particles in a harmonic trap that interact via dipole-dipole forces. We employ the semiclassical Thomas-Fermi method and discuss the Dirac correction to the…

Condensed Matter · Physics 2007-05-23 K. Goral , Berthold-Georg Englert , K. Rzazewski

We discuss physical properties of strongly correlated electron states for a linear chain obtained with the help of the recently proposed new method combining the exact diagonalization in the Fock space with an ab initio readjustment of the…

Strongly Correlated Electrons · Physics 2007-05-23 Adam Rycerz , Jozef Spalek