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Fermionic atoms in a periodic optical lattice provide a realization of the single-band Hubbard model. Using Quantum Monte Carlo simulations along with the Maximum Entropy Method, we evaluate the effect of a time-dependent perturbative…

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 study the double occupancy in a fermionic Mott insulator at half-filling generated via a dynamical periodic modulation of the hopping amplitude. Tuning the modulation amplitude, we describe a crossover in the nature of doublon-holon…

Quantum Gases · Physics 2010-06-02 Fabian Hassler , Andreas Rüegg , Manfred Sigrist , Gianni Blatter

We calculate the rate of creation of double occupancies in a 3D Fermionic Mott insulator near half-filling by modulation of optical lattice potential. At high temperatures, incoherent holes lead to a broad response peaked at the Hubbard…

Other Condensed Matter · Physics 2015-05-13 Rajdeep Sensarma , David Pekker , Mikhail D. Lukin , Eugene Demler

Recent experiments show that periodic modulations of cold atoms in optical lattices may be used to engineer and explore interesting models. We show that double modulation, combining lattice shaking and modulated interactions allows for the…

Quantum Gases · Physics 2014-11-05 Sebastian Greschner , Luis Santos , Dario Poletti

We study the asymmetric Hubbard model at half-filling as a generic model to describe the physics of two species of repulsively interacting fermionic cold atoms in optical lattices. We use Dynamical Mean Field Theory to obtain the…

Strongly Correlated Electrons · Physics 2012-01-11 E. A. Winograd , R. Chitra , M. J. Rozenberg

We perform a numerical study of a one-dimensional Fermion-Hubbard model in harmonic traps within the Thomas-Fermi approximation based on the exact Bethe-ansatz solution. The $\rho-U/t$ phase diagram is shown for the systems of attractive…

Strongly Correlated Electrons · Physics 2015-05-18 Ji-Hong Hu , Gao Xianlong

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

Experiments with cold atoms trapped in optical lattices offer the potential to realize a variety of novel phases but suffer from severe spatial inhomogeneity that can obscure signatures of new phases of matter and phase boundaries. We use a…

Other Condensed Matter · Physics 2009-11-13 V. W. Scarola , L. Pollet , J. Oitmaa , M. Troyer

We realize and study the ionic Hubbard model using an interacting two-component gas of fermionic atoms loaded into an optical lattice. The bipartite lattice has honeycomb geometry with a staggered energy-offset that explicitly breaks the…

Optical lattice systems provide exceptional platforms for quantum simulation of many-body systems. We focus on the doubly modulated Bose-Hubbard model driven by both time-dependent on-site energy and interaction, and predict the emergence…

Quantum Gases · Physics 2019-11-20 Hongzheng Zhao , Johannes Knolle , Florian Mintert

Cold atoms confined in periodic potentials are remarkably versatile quantum systems for implementing simple models prevalent in condensed matter theory. In the current experiment, we realize the 2D Bose-Hubbard model by loading a…

Other Condensed Matter · Physics 2012-12-24 I. B. Spielman , W. D. Phillips , J. V. Porto

Using a recently developed strong-coupling method, we present a comprehensive theory for doublon production processes in modulation spectroscopy of a three-dimensional system of ultracold fermionic atoms in an optical lattice with a trap.…

Strongly Correlated Electrons · Physics 2014-02-11 A. Dirks , K. Mikelsons , H. R. Krishnamurthy , J. K. Freericks

We propose an experimental setup of ultracold fermions in an optical lattice to determine the pairing gap in a superfluid state and the spin ordering in a Mott-insulating state. The idea is to apply a periodic modulation of the lattice…

Superconductivity · Physics 2016-08-31 C. Kollath , A. Iucci , I. McCulloch , T. Giamarchi

We use nonequilibrium dynamical mean-field theory in combination with a recently implemented strong-coupling impurity solver to investigate the relaxation of a Mott insulator after a laser excitation with frequency comparable to the Hubbard…

Strongly Correlated Electrons · Physics 2013-05-29 Martin Eckstein , Philipp Werner

We study, using quantum Monte-Carlo simulations, the bosonic Kondo-Hubbard model in a two dimensional square lattice. We explore the phase diagram and analyse the mobility of particles and magnetic properties. At unit filling, the…

Quantum Gases · Physics 2017-01-18 T. Flottat , F. Hébert , V. G. Rousseau , R. T. Scalettar , G. G. Batrouni

Using the exact Bethe ansatz solution of the Hubbard model and Luttinger liquid theory, we investigate the density profiles and collective modes of one-dimensional ultra-cold fermions confined in an optical lattice with a harmonic trapping…

Statistical Mechanics · Physics 2007-05-23 Xia-Ji Liu , Peter D. Drummond , Hui Hu

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

Fermionic atoms in a large-scale, homogeneous optical lattice provide an ideal quantum simulator for investigating the fermionic Hubbard model, yet achieving this remains challenging. Here, by developing a hybrid potential that integrates a…

We perform a quantitative simulation of the repulsive Fermi-Hubbard model using an ultracold gas trapped in an optical lattice. The entropy of the system is determined by comparing accurate measurements of the equilibrium double occupancy…

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