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Using the time-dependent density matrix renormalization group method, we calculate transport properties of an interacting Fermi gas in an optical lattice with a confining trap after a sudden displacement of the trap center. In the regime of…

Quantum Gases · Physics 2012-09-18 Jia-Wei Huo , Weiqiang Chen , U. Schollwöck , M. Troyer , Fu-Chun Zhang

In this paper we derive an analytic approximation to the density of states for atoms in a combined optical lattice and harmonic trap potential as used in current experiments with quantum degenerate gases. We compare this analytic density of…

Statistical Mechanics · Physics 2007-06-18 P. B. Blakie , A. Bezett , P. Buonsante

We study both experimentally and theoretically the losses induced by parametric excitation in far-off-resonance optical lattices. The atoms confined in a 1D sinusoidal lattice present an excitation spectrum and dynamics substantially…

Atomic Physics · Physics 2009-11-07 R. Jáuregui , N. Poli , G. Roati , G. Modugno

The entropy-temperature curves are calculated for non-interacting fermions in a 3D optical lattice. These curves facilitate understanding of how adiabatic changes in the lattice depth affect the temperature, and we demonstrate regimes where…

Other Condensed Matter · Physics 2007-05-23 P. B. Blakie , A. Bezett

We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative…

Quantum Gases · Physics 2011-04-18 Michiel Snoek , Irakli Titvinidze , Immanuel Bloch , Walter Hofstetter

We consider a cloud of fermionic atoms in an optical lattice described by a Hubbard model with an additional linear potential. While homogeneous interacting systems mainly show damped Bloch oscillations and heating, a finite cloud behaves…

Quantum Gases · Physics 2011-07-01 Stephan Mandt , Akos Rapp , Achim Rosch

The density distribution of the one-dimensional Hubbard model in a harmonic trapping potential is investigated in order to study the effect of the confining trap. Strong superimposed oscillations are always present on top of a uniform…

Quantum Gases · Physics 2011-12-19 Stefan A. Soeffing , Sebastian Eggert , Michael Bortz

We investigate effects of optical lattice potential in one- and two-dimensional two-component trapped Fermi gases with population imbalances. Using the exact diagonalization and the density matrix renormalization group methods…

Strongly Correlated Electrons · Physics 2008-06-05 M. Machida , S. Yamada , M. Okumura , Y. Ohashi , H. Matsumoto

We present an experimental study of a four beam optical lattice using the light scattered by the atoms in the lattice. We use both intensity correlations and observations of the transient behavior of the scattering when the lattice is…

It is shown theoretically how to directly obtain the energy distribution of a weakly interacting gas of bosons confined in an optical lattice in the tight-binding limit. This is accomplished by adding a linear potential to a suitably…

Statistical Mechanics · Physics 2009-11-13 David L. Feder

We investigate the interplay of temperature and trap effects in cold particle systems at their quantum critical regime, such as cold bosonic atoms in optical lattices at the transitions between Mott-insulator and superfluid phases. The…

Quantum Gases · Physics 2013-05-30 Giacomo Ceccarelli , Christian Torrero , Ettore Vicari

We present a quantitative finite temperature analysis of a recent experiment with Bose-Fermi mixtures in optical lattices, in which the dependence of the coherence of bosons on the inter-species interaction was analyzed. Our theory…

Quantum Gases · Physics 2013-05-29 M. Cramer

We present a study of radiation propagation through disordered amplifying honeycomb photonic lattice, where elastic scattering provides feedback for light generation. To explore the interplay of different scattering mechanisms and the…

Mesoscale and Nanoscale Physics · Physics 2020-08-31 SK Firoz Islam , Alexander A. Zyuzin

Low temperatures are necessary for the observation of strongly correlated quantum phases of fermionic atoms in optical lattices. We analyze how the temperature of a Fermi gas is altered when the fermions are loaded into an optical lattice…

Strongly Correlated Electrons · Physics 2007-05-23 Michael Köhl

We have studied mixtures of fermionic $^{40}$K and bosonic $^{87}$Rb quantum gases in a three-dimensional optical lattice. We observe that an increasing admixture of the fermionic species diminishes the phase coherence of the bosonic atoms…

Strongly Correlated Electrons · Physics 2007-05-23 Kenneth Günter , Thilo Stöferle , Henning Moritz , Michael Köhl , Tilman Esslinger

We consider a non-interacting Fermi gas in a combined harmonic and periodic potential. We calculate the energy spectrum and simulate the motion of the gas after sudden replacement of the trap center. For different parameter regimes, the…

Soft Condensed Matter · Physics 2009-11-10 V. Ruuska , P. Torma

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

We study the finite temperature properties of two-component fermionic atoms trapped in a two-dimensional optical lattice. We apply the self-energy functional approach to the two-dimensional Hubbard model with a harmonic trapping potential,…

Quantum Gases · Physics 2010-12-14 Kensuke Inaba , Makoto Yamashita

We calculate single atom heating rates in a far detuned optical lattice, in connection with recent experiments. We first derive a master equation, including a realistic atomic internal structure and a quantum treatment of the atomic motion…

Quantum Gases · Physics 2015-05-18 Fabrice Gerbier , Yvan Castin

We explore the effects of continuous number density measurement on atoms in an optical lattice. By integrating a master equation for quantum observables, we calculate how single particle correlations decay. We consider weakly- and strongly-…

Quantum Gases · Physics 2014-08-12 Yariv Yanay , Erich J. Mueller