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Ultracold atomic gases provide a fantastic platform to implement quantum simulators and investigate a variety of models initially introduced in condensed matter physics or other areas. One of the most promising applications of quantum…

Quantum Gases · Physics 2019-01-07 Leticia Tarruell , Laurent Sanchez-Palencia

We have studied interacting and non-interacting quantum degenerate Fermi gases in a three-dimensional optical lattice. We directly image the Fermi surface of the atoms in the lattice by turning off the optical lattice adiabatically. Due to…

Superconductivity · Physics 2009-11-10 Michael Köhl , Henning Moritz , Thilo Stöferle , Kenneth Günter , Tilman Esslinger

We study interference patterns and Friedel oscillations (FO) due to scattering from two or more localized impurities and scattering from extended inhomogeneities in the two-dimensional lattice systems of interacting fermions. Correlations…

Strongly Correlated Electrons · Physics 2022-07-13 Banhi Chatterjee , Jan Skolimowski , Krzysztof Byczuk

We investigate properties of an ultracold, two-component bosonic gas in a square optical lattice at unit filling. In addition to density-density interactions, the atoms are subject to coherent light-matter interactions that couple different…

Quantum Gases · Physics 2018-01-03 Ulrike Bornheimer , Ivana Vasić , Walter Hofstetter

We show that ultracold atoms can be controlled in multi-band optical lattices through spatially periodic Raman pulses for investigation of a class of strongly correlated physics related to the Kondo problem. The underlying dynamics of this…

Soft Condensed Matter · Physics 2009-11-10 L. -M. Duan

We study the groundstates of cold atomic gases on rotating optical lattices, as described by the Bose-Hubbard model in a uniform effective magnetic field. Mapping the bosons to composite fermions leads to the prediction of quantum Hall…

Mesoscale and Nanoscale Physics · Physics 2009-09-04 Gunnar Moller , Nigel R. Cooper

The distinguishability of at least two species of particles in the classical lattice gas with no interactions except hard-core exclusion entails additional interparticle correlations. A nonlinear mixing flow appears and manifests itself…

Statistical Mechanics · Physics 2013-02-07 O. V. Kliushnychenko , S. P. Lukyanets

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 realize an interferometer with an atomic Fermi gas trapped in an optical lattice under the influence of gravity. The single-particle interference between the eigenstates of the lattice results in macroscopic Bloch oscillations of the…

Soft Condensed Matter · Physics 2009-11-10 G. Roati , E. de Mirandes , F. Ferlaino , H. Ott , G. Modugno , M. Inguscio

Strongly correlated materials feature multiple electronic orbitals which are crucial to accurately understand their many-body properties, from cuprate materials to twisted bilayer graphene. In such multi-band models, quantum interference…

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…

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

We develop a real-space extension of the dual fermion approach. This method is formulated in terms of real-space Green's functions and local vertex functions, which enables us to discuss local and nonlocal correlations in inhomogeneous…

Strongly Correlated Electrons · Physics 2018-01-09 Nayuta Takemori , Akihisa Koga , Hartmut Hafermann

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

Growing interest is being given to transport of ultra-cold atomic gases through optical lattices generated by the interference of laser beams. In this connection we evaluate the phase-coherent transport of a spin-polarized gas of fermionic…

Disordered Systems and Neural Networks · Physics 2009-11-11 M. R. Bakhtiari , P. Vignolo , M. P. Tosi

We investigate the effect of the trapping potential on the quantum phases of strongly correlated ultracold bosons in one-dimensional periodic and quasiperiodic optical lattices. By means of a decoupling meanfield approach, we characterize…

Quantum Gases · Physics 2015-02-26 Uttam Shrestha , Michele Modugno

We investigate the quantum phases of mixed-dimensional cold atom mixtures. In particular, we consider a mixture of a Fermi gas in a two-dimensional lattice, interacting with a bulk Fermi gas or a Bose-Einstein condensate in a…

Quantum Gases · Physics 2017-05-29 Junichi Okamoto , Ludwig Mathey , Wen-Min Huang

Understanding competing instabilities in systems with correlated fermions remains one of the holy grails of modern condensed matter physics. Among the fermionic lattice models used to this effect, the extended Hubbard model occupies a prime…

Strongly Correlated Electrons · Physics 2024-01-09 E. Linnér , C. Dutreix , S. Biermann , E. A. Stepanov

Strongly interacting fermionic systems host a variety of interesting quantum many-body states with exotic excitations. For instance, the interplay of strong interactions and the Pauli exclusion principle can lead to Stoner ferromagnetism,…

Quantum Gases · Physics 2023-03-01 Felix A. Palm , Mert Kurttutan , Annabelle Bohrdt , Ulrich Schollwöck , Fabian Grusdt

We study the phase diagram of the one-dimensional Bose-Fermi-Hubbard model at unit filling for the scalar bosons and half filling for the $S=1/2$ fermions using quantum Monte Carlo simulations. The bare interaction between the fermions is…

Quantum Gases · Physics 2023-02-22 Janik Schönmeier-Kromer , Lode Pollet