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One of the main applications of future quantum computers will be the simulation of quantum models. While the evolution of a quantum state under a Hamiltonian is straightforward (if sometimes expensive), using quantum computers to determine…

Various auxiliary-particle approaches to treat electron correlations in many-electron models are analyzed. Applications to copper-oxide layered systems are discussed. The ground-state magnetic phase diagrams are considered within the…

Strongly Correlated Electrons · Physics 2019-02-21 V. Yu. Irkhin , P. A. Igoshev

A set of new exact ground states of the generalized Hubbard models in arbitrary dimensions with explicitly given parameter regions is presented. This is based on a simple method for constructing exact ground states for homogeneous quantum…

Condensed Matter · Physics 2009-10-31 Sergio Albeverio , Shao-Ming Fei

Quantum computers can accurately compute ground state energies using phase estimation, but this requires a guiding state that has significant overlap with the true ground state. For large molecules and extended materials, it becomes…

We focus our quantitative analysis on the stability of the insulator state in the Hubbard model at a half-filling. Taking into account large-scale fluctuations (with a long relaxation time) of the on-site Coulomb repulsion, we consider the…

Strongly Correlated Electrons · Physics 2021-08-10 Igor N. Karnaukhov

In the present work ferromagnetic ordering in the Hubbard model generalized by taking into account the inter-atomic exchange interaction and correlated hopping in partially filled narrow band is considered. In the case of weak…

Strongly Correlated Electrons · Physics 2007-05-23 L. Didukh , O. Kramar , Yu. Skorenkyy

A new variational method is developed to calculate the ground state energy of Fermi systems with strong short-range correlations. A trial wave function of Gutzwiller's type contains additional variational parameters corresponding to…

Strongly Correlated Electrons · Physics 2009-09-25 Yu. B. Kudasov

For the calculation of charge excitations as those observed in, e.g., photo-emission spectroscopy or in electron-energy loss spectroscopy, a correct description of ground-state charge properties is essential. In strongly correlated systems…

Strongly Correlated Electrons · Physics 2009-10-31 C. Waidacher , J. Richter , R. E. Hetzel , K. W. Becker

We compute the ground-state phase diagram of the Hubbard and frustrated Hubbard models on the square lattice with density matrix embedding theory using clusters of up to 16 sites. We provide an error model to estimate the reliability of the…

Strongly Correlated Electrons · Physics 2016-01-27 Bo-Xiao Zheng , Garnet Kin-Lic Chan

We rigorously prove that an extended Hubbard model with attraction in two dimensions has an unconventional pairing ground state for any electron filling. The anisotropic spin-0 or anisotropic spin-1 pairing symmetry is realized, depending…

Strongly Correlated Electrons · Physics 2009-11-10 Akinori Tanaka , Masanori Yamanaka

We present a class of exact ground states of a three-dimensional periodic Anderson model at 3/4 filling. Hopping and hybridization of d and f electrons extend over the unit cell of a general Bravais lattice. Employing novel composite…

Strongly Correlated Electrons · Physics 2007-05-23 Zsolt Gulacsi , Dieter Vollhardt

We model conducting pentagon chains with a multi orbital Hubbard model and prove that well below half filling exact ferromagnetic ground states appear. The rigorous method we use is based on the transformation of original hamiltonian into…

Strongly Correlated Electrons · Physics 2014-06-27 Miklos Gulacsi , Gyorgy Kovacs , Zsolt Gulacsi

We discuss the ground state magnetic phase diagram of the Hubbard model off half filling within the dynamical mean-field theory. The effective single-impurity Anderson model is solved by Wilson's numerical renormalization group…

Strongly Correlated Electrons · Physics 2009-11-07 R. Zitzler , Th. Pruschke , R. Bulla

Preparing the ground state of the Fermi-Hubbard model is challenging, in part due to the exponentially large Hilbert space, which complicates efficiently finding a path from an initial state to the ground state using the variational…

Quantum Physics · Physics 2025-07-22 Zekun He , Lorenzo Del Re , A. F. Kemper , J. K. Freericks

We report a ground-state solution for the two-dimensional fermionic Hubbard model, which is obtained via a numerical variational method. The two ingredients in this approach are tensor network states and the time-evolving block decimation.…

Strongly Correlated Electrons · Physics 2014-04-29 Myung-Hoon Chung

We propose a scheme for investigating the quantum dynamics of interacting electron models by means of time-dependent variational principle and spin coherent states of space lattice operators. We apply such a scheme to the one-dimensional…

Superconductivity · Physics 2009-10-31 Arianna Montorsi , Vittorio Penna

The papaer shows how the known, exact results for the two electron bound states can modify the ground state phase diagram of extended Hubbard model (EHM) for on-site attraction, intersite repulsion and arbitrary electron density. The main…

Superconductivity · Physics 2007-05-23 M. Bak

We show that the recently proposed cooling-by-doping mechanism allows to efficiently prepare interesting nonequilibrium states of the Hubbard model. Using nonequilibrium dynamical mean field theory and a particle-hole symmetric setup with…

Strongly Correlated Electrons · Physics 2022-04-20 Philipp Werner , Jiajun Li , Denis Golez , Martin Eckstein

We construct superposition states of energy eigenstates of the hydrogen molecule using classically emulated digital quantum simulation. We generate the ground state and excited states of the system via the twirling operation method, and…

Quantum Physics · Physics 2025-11-06 Kazuto Oshima

We show that the exact ground state for a class of extended Hubbard models including bond-charge, exchange, and pair-hopping terms, is the Yang "eta-paired" state for any non-vanishing value of the pair-hopping amplitude, at least when the…

Condensed Matter · Physics 2009-10-28 Arianna Montorsi , David K. Campbell