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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…

Insights into complex phenomena in quantum matter can be gained from simulation experiments with ultracold atoms, especially in cases where theoretical characterization is challenging. However these experiments are mostly limited to…

We present a numerical study of noise correlations, i.e., density-density correlations in momentum space, in the extended fermionic Hubbard model in one dimension. In experiments with ultracold atoms, these noise correlations can be…

Strongly Correlated Electrons · Physics 2007-10-29 Andreas Luscher , Andreas Laeuchli , Reinhard M. Noack

Recent proposals have suggested the use of supervised learning with convolutional neural networks to shed light on some of the less well known phases of the Fermi-Hubbard model through the classification of snapshots from the quantum gas…

Disordered Systems and Neural Networks · Physics 2023-10-06 Stephanie Striegel , Eduardo Ibarra-García-Padilla , Ehsan Khatami

Various topics at the interface between condensed matter physics and the physics of ultra-cold fermionic atoms in optical lattices are discussed. The lectures start with basic considerations on energy scales, and on the regimes in which a…

Strongly Correlated Electrons · Physics 2007-05-23 Antoine Georges

We propose and discuss methods for detecting quasi-molecular complexes which are expected to form in strongly interacting optical lattice systems. Particular emphasis is placed on the detection of composite fermions forming in Bose-Fermi…

Other Condensed Matter · Physics 2013-05-29 Anatoly Kuklov , Henning Moritz

During the last decade, many exciting phenomena have been experimentally observed and theoretically predicted for ultracold atoms in optical lattices. This paper reviews these rapid developments concentrating mainly on the theory. Different…

Quantum Gases · Physics 2015-12-29 K. V. Krutitsky

We analyze interacting one-dimensional bosons in the continuum, subject to a periodic sinusoidal potential of arbitrary depth. Variation of the lattice depth tunes the system from the Bose-Hubbard limit for deep lattices, through the…

Quantum Gases · Physics 2013-06-21 Achilleas Lazarides , Masudul Haque

We present a study of the superfluid properties of atomic Bose gases in optical lattice potentials using the Bose-Hubbard model. To do this, we use a microscopic definition of the superfluid fraction based on the response of the system to a…

Statistical Mechanics · Physics 2009-11-07 R. Roth , K. Burnett

Quantum simulations are quickly becoming an indispensable tool for studying particle transport in correlated lattice models. One of the central topics in the study of transport is the bad-metal behavior, characterized by the direct current…

Quantum Gases · Physics 2025-07-04 Ivana Vasić , Jakša Vučičević

Fermions in an optical lattice near a wide Feshbach resonance are expected to be described by an effective Hamiltonian of the general Hubbard model with particle-assisted tunneling rates resulting from the strong atomic interaction [Phys.…

Other Condensed Matter · Physics 2009-11-13 T. Goodman , L. -M. Duan

The attractive Fermi-Hubbard model is the simplest theoretical model for studying pairing and superconductivity of fermions on a lattice. Although its s-wave pairing symmetry excludes it as a microscopic model for high-temperature…

The study of superfluid fermion pairs in a periodic potential has important ramifications for understanding superconductivity in crystalline materials. Using cold atomic gases, various condensed matter models can be studied in a highly…

Other Condensed Matter · Physics 2009-11-11 J. K. Chin , D. E. Miller , Y. Liu , C. Stan , W. Setiawan , C. Sanner , K. Xu , W. Ketterle

A theoretical study of interacting bosons in a periodic optical lattice is presented. Instead of the commonly used tight-binding approach (applicable near the Mott insulating regime of the phase diagram), the present work starts from the…

Quantum Gases · Physics 2015-06-22 Qin-Qin Lü , Kelly R. Patton , Daniel E. Sheehy

Transport properties are among the defining characteristics of many important phases in condensed matter physics. In the presence of strong correlations they are difficult to predict even for model systems like the Hubbard model. In real…

We derive effective lattice models for ultracold bosonic or fermionic nonreactive molecules (NRMs) in an optical lattice, analogous to the Hubbard model that describes ultracold atoms in a lattice. In stark contrast to the Hubbard model,…

Quantum Gases · Physics 2016-04-06 Andris Doçaj , Michael L. Wall , Rick Mukherjee , Kaden R. A. Hazzard

We study a two species fermion mixture with different populations on a square lattice modeled by a Hubbard Hamiltonian with on-site inter-species repulsive interaction. Such a model can be realized in a cold atom system with fermionic atoms…

Strongly Correlated Electrons · Physics 2013-02-25 Chen-Yen Lai , Chuntai Shi , Shan-Wen Tsai

Atom interferometers provide a powerful tool for measuring physical constants and testifying fundamental physics with unprecedented precision. Conventional atom interferometry focuses on the phase difference between two paths and utilizes…

Quantum Gases · Physics 2024-06-25 Peng Peng , Dekai Mao , Yi Liang , Guoling Yin , Hongmian Shui , Bo Song , Xiaoji Zhou

A mixture of ultracold bosons and fermions placed in an optical lattice constitutes a novel kind of quantum gas, and leads to phenomena, which so far have been discussed neither in atomic physics, nor in condensed matter physics. We discuss…

Other Condensed Matter · Physics 2009-11-10 M. Lewenstein , L. Santos , M. A. Baranov , H. Fehrmann

We have experimentally studied few-body impurity systems consisting of a single fermionic atom and a small bosonic field on the sites of an optical lattice. Quantum phase revival spectroscopy has allowed us to accurately measure the…

Quantum Gases · Physics 2011-04-08 Sebastian Will , Thorsten Best , Simon Braun , Ulrich Schneider , Immanuel Bloch