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Using a Luttinger liquid theory we investigate the time evolution of the particle density of a one-dimensional spinful fermionic system with open boundaries and subject to a finite-duration quench of the inter-particle interaction. Taking…

Strongly Correlated Electrons · Physics 2017-07-13 F. M. Gambetta , S. Porta

The ionic Hubbard model is a paradigmatic setup for studying the competition between band and Mott insulating behavior. Within the variationally exact in infinite dimensions Gutzwiller approximation, we derive a compact analytic expression…

Strongly Correlated Electrons · Physics 2025-12-13 Marcin M. Wysokiński

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

We present analytic results for ground-state properties of Hubbard-type models in terms of the Gutzwiller variational wave function with non-zero values of the magnetization m. In dimension D=1 approximation-free evaluations are made…

Strongly Correlated Electrons · Physics 2009-11-07 Marcus Kollar , Dieter Vollhardt

The coexistence of antiferromagnetism with superconductivity is studied theoretically within the t-J model with the Zeeman term included. The strong electron correlations are accounted for by means of the extended Gutzwiller projection…

Strongly Correlated Electrons · Physics 2011-12-09 Jan Kaczmarczyk , Jozef Spałek

We show that the Gutzwiller variational wave function is surprisingly accurate for the computation of magnetic phase boundaries in the infinite dimensional Hubbard model. This allows us to substantially extend known phase diagrams. For both…

Strongly Correlated Electrons · Physics 2008-06-16 F. Günther , G. Seibold , J. Lorenzana

We study the ground-state magnetism of the half-filled Hubbard model on the anisotropic triangular lattice, where two out of three bonds have hopping $t$ and the third one has $t^\prime$ in a unit triangle. Working in a spin-rotating frame…

Strongly Correlated Electrons · Physics 2017-01-04 Shimpei Goto , Susumu Kurihara , Daisuke Yamamoto

We analyze the interplay of antiferromagnetism and pairing in the two dimensional Hubbard model with a moderate repulsive interaction. Coupled charge, magnetic and pairing fluctuations above the energy scale of spontaneous symmetry breaking…

Strongly Correlated Electrons · Physics 2021-01-04 Demetrio Vilardi , Pietro M. Bonetti , Walter Metzner

We study the equilibrium dynamics of magnetic moments in the Mott insulating phase of the Hubbard model on the square and triangular lattice. We rewrite the Hubbard interaction in terms of an auxiliary vector field and use a recently…

Strongly Correlated Electrons · Physics 2021-12-16 Sauri Bhattacharyya , Pinaki Majumdar

We study the phase diagram of the ionic Hubbard model (IHM) at half-filling using dynamical mean field theory (DMFT), with two impurity solvers, namely, iterated perturbation theory (IPT) and continuous time quantum Monte Carlo (CTQMC). The…

Strongly Correlated Electrons · Physics 2015-09-10 Soumen Bag , Arti Garg , H. R. Krishnamurthy

One-band Hubbard model with transverse anisotropy is considered at density of electrons $n=0.4$. It is shown that when the anisotropy is appropriately chosen, the ground state is ferromagnetic with magnetic order perpendicular to the…

Strongly Correlated Electrons · Physics 2012-07-09 Naoum Karchev

We investigate the effects of static, diagonal disorder in the $d=\infty$ Hubbard model by treating the dynamical effects of local Hubbard correlations and disorder on an equal footing. This is achieved by a proper combination of the…

Strongly Correlated Electrons · Physics 2007-05-23 L. Craco , M. S. Laad , E. Müller-Hartmann

We present a Gutzwiller von Neumann dynamics (GvND) method for simulating equilibrium and nonequilibrium phenomena in strongly correlated electron systems. Our approach is a real-space formulation of the time-dependent Gutzwiller…

Strongly Correlated Electrons · Physics 2017-11-22 Gia-Wei Chern

The celebrated antiferromagnetic phase transition was realized in a most recent optical lattice experiment for 3D fermionic Hubbard model [Shao {\it et al}., Nature {\bf 632}, 267 (2024)]. Despite the great achievement, it was observed that…

Strongly Correlated Electrons · Physics 2026-05-12 Yu-Feng Song , Youjin Deng , Yuan-Yao He

We show that the non-equilibrium time-evolution after interaction quenches in the one dimensional, integrable Hubbard model exhibits a dynamical transition in the half-filled case. This transition ceases to exist upon doping. Our study is…

Strongly Correlated Electrons · Physics 2013-03-01 Simone A. Hamerla , Götz S. Uhrig

A central challenge in strongly interacting many-body systems is understanding the far-from-equilibrium dynamics. Here, we study the many-body magnetic dynamics of the two-component Bose-Hubbard model by developing a two-component extension…

Quantum Gases · Physics 2025-07-15 Hui Tan , Jianmin Yuan , Yongqiang Li

Non-dissipative dynamics of interacting electrons in two tunnel-coupled quantum dots is studied theoretically within the framework of the Hubbard model. Various values of intra-dot Coulomb repulsion energy $U$ and inter-dot tunneling energy…

Strongly Correlated Electrons · Physics 2016-08-31 L. A. Openov , A. M. Bychkov

A fundamental problem of out-of-equilibrium physics is the speed at which the order parameter grows upon crossing a phase transition. Here, we investigate the dynamics of ordering in a Fermi gas undergoing a density-wave phase transition…

We study the dynamics of 2d spin-ice following a quench from a fully disordered initial condition (equilibrium at infinite temperature) into its disordered, ferromagnetic and antiferromagnetic phases. We analyze the evolution of the density…

Statistical Mechanics · Physics 2012-02-13 Demian Levis , Leticia F. Cugliandolo

A general constructive procedure is presented for analyzing magnetic instabilities in two-dimensional materials, in terms of [predominantly] double nesting, and applied to Hartree-Fock HF+RPA and Gutzwiller approximation GA+RPA calculations…

Superconductivity · Physics 2012-07-25 R. S. Markiewicz , J. Lorenzana , G. Seibold , A. Bansil
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