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The thermodynamic behavior of out-of-equilibrium quantum systems in finite-time dynamics encompasses the description of energy fluctuations, which dictates a series of system's physical properties. In addition, strong interactions in…

Quantum Physics · Physics 2020-08-05 Krissia Zawadzki , Roberto M. Serra , Irene D'Amico

The Mott metal-insulator transition in the two-band Hubbard model in infinite dimensions is studied by using the linearized dynamical mean-field theory. The discontinuity in the chemical potential for the change from hole to electron doping…

Strongly Correlated Electrons · Physics 2007-05-23 Yasuo Ohashi , Yoshiaki Ōno

We investigate the nature of the interaction-driven Mott-Hubbard transition of the half-filled $t_1{-}t_2$ Hubbard model in one dimension, using a full-fledged variational Monte Carlo approach including a distance-dependent Jastrow factor…

Strongly Correlated Electrons · Physics 2015-05-14 Luca F. Tocchio , Federico Becca , Claudius Gros

We study the dissipative Fermi-Hubbard model in the limit of weak tunneling and strong repulsive interactions, where each lattice site is tunnel-coupled to a Markovian fermionic bath. For cold baths at intermediate chemical potentials, the…

Strongly Correlated Electrons · Physics 2022-03-30 Gernot Schaller , Friedemann Queisser , Nikodem Szpak , Jürgen König , Ralf Schützhold

The description of interactions in strongly-correlated topological phases of matter remains a challenge. Here, we develop a stochastic functional approach for interacting topological insulators including both charge and spin channels. We…

Strongly Correlated Electrons · Physics 2021-08-18 Joel Hutchinson , Philipp W. Klein , Karyn Le Hur

The properties of a phase at finite interactions can be significantly influenced by the underlying dispersion of the non-interacting Hamiltonian. We demonstrate this by studying the repulsive Hubbard model on the $2$D Lieb lattice, which…

Strongly Correlated Electrons · Physics 2017-12-27 Pramod Kumar , Tuomas I. Vanhala , Päivi Törmä

Theoretical treatments of non-equilibrium dynamics in strongly interacting Bose-Fermi mixtures are complicated by the inherent non-Gaussian nature of the vacuum two-body physics, invalidating the typical Hartree-Fock-Bogoliubov…

The late-time dynamics of quantum many-body systems is organized in distinct dynamical universality classes, characterized by their conservation laws and thus by their emergent hydrodynamic transport. Here, we study transport in the…

Quantum Gases · Physics 2022-08-30 Philip Zechmann , Alvise Bastianello , Michael Knap

This paper is devoted to the dynamics of a weakly interacting Fermi gas at the kinetic time regime $t\sim \lambda^{-2}$ where $\lambda \ll 1$ is the strength of the interaction potential. We prove that if the initial state is close to…

Mathematical Physics · Physics 2026-05-14 Peter S. Madsen , Phan Thành Nam , Herbert Spohn , Minh-Binh Tran

We discuss a non-equilibrium dynamical mean-field framework for simulating inhomogeneous Hubbard models with local disorders. Our approach treats electron interactions and disorders on equal footing, by considering only local dynamical…

Strongly Correlated Electrons · Physics 2023-12-27 Jiawei Yan , Philipp Werner

We examine the nature of the transition to the antiferromagnetically ordered state in the half-filled three-dimensional Hubbard model using the dual-fermion multiscale approach. Consistent with analytics, in the weak-coupling regime we find…

Strongly Correlated Electrons · Physics 2015-10-14 Daniel Hirschmeier , Hartmut Hafermann , Emanuel Gull , Alexander I. Lichtenstein , Andrey E. Antipov

The Hubbard model represents the fundamental model for interacting quantum systems and electronic correlations. Using the two-dimensional half-filled Hubbard model at weak coupling as a testing ground, we perform a comparative study of a…

We show that a large class of nonequilibrium many-body systems in contact with two thermal baths admit an exact mapping onto equivalent equilibrium systems. This mapping provides direct access to nonequilibrium phase transition points from…

Statistical Mechanics · Physics 2025-11-05 Iago N. Mamede , Carlos E. Fiore , Gustavo A. L. Forão , Karel Proesmans , André P. Vieira

Using numerically exact diagonalization, we study the correlated Haldane-Hubbard model in the presence of dissipation. Such dissipation can be modeled at short times by the dynamics governed by an effective non-Hermitian Hamiltonian, of…

Strongly Correlated Electrons · Physics 2023-08-29 Can Wang , Tian-Cheng Yi , Jian Li , Rubem Mondaini

Electron dynamics in a two-sites Hubbard model is studied using the nonequilibrium Green's function approach. The study is motivated by the empirical observation that a full solution of the integro-differential Kadanoff-Baym equation (KBE)…

Strongly Correlated Electrons · Physics 2024-01-23 Yaroslav Pavlyukh

Whether a small quantum mechanical system is able to equilibrate with its environment once an external local perturbation drives it out of thermal equilibrium is a central question which cuts across many different fields of science. Here we…

Strongly Correlated Electrons · Physics 2012-10-10 Marco Schiró

We use the Quench Action approach to study the non-equilibrium dynamics after a quantum quench in the Hubbard model in the limit of infinite interaction. We identify a variety of low-entangled initial states for which we can directly…

Statistical Mechanics · Physics 2017-11-03 Bruno Bertini , Elena Tartaglia , Pasquale Calabrese

The absence of a characteristic momentum scale in the pseudo-potential description of atomic interaction in ultracold (two-component Fermi) gases is known to lead to divergence in perturbation theory. Here we show that they also plague the…

Quantum Gases · Physics 2019-06-26 Chen-How Huang , Miguel A. Cazalilla

We investigate the half-filled Hubbard model with spatially alternating interactions by means of the two-site dynamical mean-field theory. It is found that a single Mott transition occurs when two kinds of interactions are increased. This…

Strongly Correlated Electrons · Physics 2012-04-20 Takamitsu Saitou , Akihisa Koga , Atsushi Yamamoto

The real-time dynamics of local magnetic moments exchange coupled to a metallic system of conduction electrons is subject to dissipative friction even in the absence of spin-orbit coupling. Phenomenologically, this is usually described by a…

Mesoscale and Nanoscale Physics · Physics 2025-01-08 Nicolas Lenzing , David Krüger , Michael Potthoff