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Monte Carlo simulations and dynamical mean-field approximations are performed to study the phase transition in a driven lattice gas with nearest-neighbor exclusion on a square lattice. A slight extension of the microscopic dynamics with…

Statistical Mechanics · Physics 2009-11-07 Attila Szolnoki , Gyorgy Szabo

In the two-component Fermi gas with a contact interaction, a pseudogap regime can exist at temperatures between the superfluid critical temperature $T_c$ and a temperature $T^* > T_c$. This regime is characterized by pairing correlations…

Quantum Gases · Physics 2020-03-11 S. Jensen , C. N. Gilbreth , Y. Alhassid

We consider the two-dimensional Fermi gas at finite temperature with attractive short-range interactions. Using the virial expansion, which provides a controlled approach at high temperatures, we determine the spectral function and contact…

Quantum Gases · Physics 2014-01-08 V. Ngampruetikorn , J. Levinsen , Meera M. Parish

The canonical one-band Hubbard model is studied using a computational method that mixes the Monte Carlo procedure with the mean field approximation. This technique allows us to incorporate thermal fluctuations and the development of…

Strongly Correlated Electrons · Physics 2014-11-25 Anamitra Mukherjee , Niravkumar D. Patel , Shuai Dong , Steve Johnston , Adriana Moreo , Elbio Dagotto

We simulate the dilute attractive Fermi-Hubbard model in the unitarity regime using a diagrammatic determinant Monte Carlo algorithm with worm-type updates. We obtain the dependence of the critical temperature on the filling factor $\nu$…

Superconductivity · Physics 2009-04-08 Evgeni Burovski , Nikolay Prokof'ev , Boris Svistunov , Matthias Troyer

Exact calculations are performed on the two-dimensional strongly interacting, unpolarized, uniform Fermi gas with a zero-range attractive interaction. Two auxiliary-field approaches are employed which accelerate the sampling of…

Quantum Gases · Physics 2016-03-22 Hao Shi , Simone Chiesa , Shiwei Zhang

We consider a Fermi gas that is loaded onto a square optical lattice and subjected to a perpendicular artificial magnetic field, and determine its superfluid transition boundary by adopting a BCS-like mean-field approach in momentum space.…

Quantum Gases · Physics 2016-08-11 R. O. Umucalilar , M. Iskin

We investigate multicomponent fermions in a flat band and predict experimental signatures of non-Fermi liquid behavior. We use dynamical mean-field theory to obtain the density, double occupancy and entropy in a Lieb lattice for…

Quantum Gases · Physics 2021-03-10 Pramod Kumar , Sebastiano Peotta , Yosuke Takasu , Yoshiro Takahashi , Päivi Törmä

We perform an ab-initio comparison between nonequilibrium dynamical mean-field theory and optical lattice experiments by studying the time evolution of double occupations in the periodically driven Fermi-Hubbard model. For off-resonant…

We study normal state properties of an interacting Fermi gas in an isotropic harmonic trap of arbitrary dimensions. We exactly calculate the first-order perturbation terms in the ground state energy and chemical potential, and obtain simple…

Statistical Mechanics · Physics 2009-11-07 Hiroyuki Yoshimoto , Susumu Kurihara

From sand piles to electrons in metals, one of the greatest challenges in modern physics is to understand the behavior of an ensemble of strongly interacting particles. A class of quantum many-body systems such as neutron matter and cold…

Quantum Gases · Physics 2010-06-01 Sylvain Nascimbène , Nir Navon , Kaijun Jiang , Frédéric Chevy , Christophe Salomon

The temperature dependence of the transport properties of the metallic phase of a frustrated Hubbard model on the hypercubic lattice at half-filling are calculated. Dynamical mean-field theory, which maps the Hubbard model onto a single…

Strongly Correlated Electrons · Physics 2009-10-31 Jaime Merino , Ross H. McKenzie

We use non-equilibrium dynamical mean-field theory to demonstrate the existence of a critical interaction in the real-time dynamics of the Hubbard model after an interaction quench. The critical point is characterized by fast thermalization…

Strongly Correlated Electrons · Physics 2009-09-02 Martin Eckstein , Marcus Kollar , Philipp Werner

Finite lattice models are a prototype for strongly correlated quantum systems and capture essential properties of condensed matter systems. With the dramatic progress in ultracold atoms in optical lattices, finite fermionic Hubbard systems…

Strongly Correlated Electrons · Physics 2014-09-10 Denis Lacroix , S. Hermanns , C. M. Hinz , M. Bonitz

We investigate pairing in a strongly interacting two-component Fermi gas with positive scattering length. In this regime, pairing occurs at temperatures above the superfluid critical temperature; unbound fermions and pairs coexist in…

We present a novel approach to long-range correlations beyond dynamical mean-field theory through a ladder approximation to dual fermions. The new technique is applied to the two-dimensional Hubbard model. We demonstrate that the…

Strongly Correlated Electrons · Physics 2013-05-29 H. Hafermann , G. Li , A. N. Rubtsov , M. I. Katsnelson , A. I. Lichtenstein , H. Monien

We investigate the attractive Hubbard model in infinite spatial dimensions by combining dynamical mean-field theory with a strong-coupling continuous-time quantum Monte Carlo method. By calculating the superfluid order parameter and the…

Quantum Gases · Physics 2011-09-30 Akihisa Koga , Philipp Werner

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…

In the limit of infinite spatial dimensions a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction ($U<\infty$), is built for the Hubbard model when the total auxiliary single-site problem…

Strongly Correlated Electrons · Physics 2014-02-17 A. M. Shvaika

Interfacing unbiased quantum Monte Carlo simulations with state-of-art analytic continuation techniques, we obtain exact numerical results for dynamical density and spin correlations in the attractive Hubbard model, describing a…

Quantum Gases · Physics 2020-12-07 Ettore Vitali , Patrick Kelly , Annette Lopez , Gianluca Bertaina , Davide Emilio Galli