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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…

The extended Falicov-Kimball model is analyzed exactly in the ground state at half filling in the limit of large dimensions. In the model the on-site and the intersite density-density interactions between all particles are included. We…

Strongly Correlated Electrons · Physics 2019-07-03 Romuald Lemański , Konrad Jerzy Kapcia , Stanisław Robaszkiewicz

We formulate a bosonic dynamical mean-field theory (B-DMFT) which provides a comprehensive, thermodynamically consistent framework for the theoretical investigation of correlated lattice bosons. The B-DMFT is applicable for arbitrary values…

Other Condensed Matter · Physics 2009-11-13 Krzysztof Byczuk , Dieter Vollhardt

We study magnetic phases of two-component mixtures of ultracold fermions with repulsive interactions in optical lattices in the presence of hopping imbalance. Our analysis is based on dynamical mean-field theory (DMFT) and its real-space…

Quantum Gases · Physics 2012-08-14 Andrii Sotnikov , Daniel Cocks , Walter Hofstetter

We study a mixture of $N_{b}$ bosons with point hard-core boson-boson interactions and $N_{f}$ noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential.…

Quantum Gases · Physics 2009-10-01 Xiaoming Cai , Liming Guan , Shu Chen , Yajiang Hao , Yupeng Wang

We study a mixture of ultracold spin-half fermionic and spin-one bosonic atoms in a shallow optical lattice where the bosons are coupled to the fermions via both density-density and spin-spin interactions. We consider the parameter regime…

Strongly Correlated Electrons · Physics 2013-10-29 S. Modak , S. -W. Tsai , K. Sengupta

A finite-temperature ($T>0$) study of a model of a mixture of spin-zero hardcore bosons and spinless fermions, with filling fractions $\rho_B$ and $\rho_F$, respectively, on a two-dimensional square lattice with composite hopping $t$ is…

Materials Science · Physics 2021-01-22 K. Sheshadri , A. Chainani

We study an atomic Bose-Fermi mixture in an optical lattice which is confined using an optical trap. We obtain the Mott ground states of such a system in the limit of deep optical lattice and discuss the effect of quantum fluctuations on…

Strongly Correlated Electrons · Physics 2007-09-17 K. Sengupta , N. Dupuis , P. Majumdar

We study the out-of-equilibrium dynamics of a dilute, lattice-confined Bose-Fermi mixture initialized in a highly excited state consisting of boson-fermion pairs (doublons) occupying single lattice sites. This system represents a…

Nonequilibrium dynamical mean-field theory (DMFT) is developed for the case of the charge-density-wave ordered phase. We consider the spinless Falicov-Kimball model which can be solved exactly. This strongly correlated system is then placed…

Strongly Correlated Electrons · Physics 2016-03-31 O. P. Matveev , A. M. Shvaika , T. P. Devereaux , J. K. Freericks

We apply the dynamical large-$N$ Schwinger boson technique as an impurity solver for the dynamical mean-field theory (DMFT) calculations of the Kondo lattice model. Our approach captures the hybridization physics through the DMFT…

Strongly Correlated Electrons · Physics 2021-12-23 Rulei Han , Danqing Hu , Jiangfan Wang , Yi-feng Yang

We suggest a time-dependent dynamical mean-field-hydrodynamic model for the collapse of a trapped boson-fermion condensate and perform numerical simulation based on it to understand some aspects of the experiment by Modugno et al. [Science…

Other Condensed Matter · Physics 2009-11-10 Sadhan K. Adhikari

Fermionic polar molecules in deep 1D optical lattices may form self-assembled filaments when the electric dipoles are oriented along the lattice axis. These composites are bosons or fermions depending on the number of molecules per chain,…

Quantum Gases · Physics 2010-08-27 M. Klawunn , J. Duhme , L. Santos

By using slave particle (slave boson and slave fermion) technique on the Bose-Hubbard model, we study the finite temperature properties of ultracold Bose gases in optical lattices. The phase diagrams at finite temperature are depicted by…

Statistical Mechanics · Physics 2009-11-11 Xiancong Lu , Jinbin Li , Yue Yu

We model a system of ultracold fermionic dipolar molecules on a two-dimensional square lattice. Assuming that the molecules are in their nondegenerate hyperfine ground state, and that the dipole moment is polarized perpendicular to the…

Quantum Gases · Physics 2011-04-15 K. Mikelsons , J. K. Freericks

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

Quantum Gases · Physics 2010-12-16 N. Blümer , E. V. Gorelik

We present a theoretical treatment of the surprisingly large damping observed recently in one-dimensional Bose-Einstein atomic condensates in optical lattices. We show that time-dependent Hartree-Fock-Bogoliubov (HFB) calculations can…

Other Condensed Matter · Physics 2009-11-10 Julio Gea-Banacloche , Ana Maria Rey , Guido Pupillo , Carl J. Williams , Charles W. Clark

We investigate the properties of impenetrable bosons confined in a one-dimensional lattice at finite temperature in the presence of an additional incommensurate periodic potential. Relying on the exact Fermi-Bose mapping, we study the…

Quantum Gases · Physics 2011-12-14 Nicolas Nessi , Aníbal Iucci

We determine the ground state properties of inhomogeneous mixtures of bosons and fermions in cubic lattices by studying the Bose-Fermi Hubbard model including parabolic confining potentials. We present the exact solution in the limit of…

Statistical Mechanics · Physics 2009-11-10 M. Cramer , J. Eisert , F. Illuminati

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