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Cluster perturbation theory is a technique for calculating the spectral weight of Hubbard models of strongly correlated electrons, which combines exact diagonalizations on small clusters with strong-coupling perturbation theory at leading…

Strongly Correlated Electrons · Physics 2009-11-07 D. Sénéchal , D. Pérez , D. Plouffe

We illustrate the scope of Time Dependent Density Functional Theory (TDDFT) for strongly correlated (lattice) models out of equilibrium. Using the exact many body time evolution, we reverse engineer the exact exchange correlation (xc)…

Mesoscale and Nanoscale Physics · Physics 2008-08-12 Claudio Verdozzi

We consider 1D lattices described by Hubbard or Bose-Hubbard models, in the presence of periodic high-frequency perturbations, such as uniform ac force or modulation of hopping coefficients. Effective Hamiltonians for interacting particles…

Other Condensed Matter · Physics 2015-08-18 A. P. Itin , M. I. Katsnelson

Determining when quantum many-body systems admit simple, efficiently simulable structure is a central problem. High-temperature thermal states are a natural candidate for such simplicity, yet for bosons, the unbounded local Hilbert space…

Quantum Physics · Physics 2026-01-07 Xin-Hai Tong , Tomotaka Kuwahara

Entanglement and its propagation are central to understanding a multitude of physical properties of quantum systems. Notably, within closed quantum many-body systems, entanglement is believed to yield emergent thermodynamic behavior.…

We propose a general approach to analyse diagonal ordering patterns in bosonic lattice models with algebraically decaying density-density interactions on arbitrary lattices. The key idea is a systematic search for the energetically best…

Quantum Physics · Physics 2023-05-31 J. A. Koziol , A. Duft , G. Morigi , K. P. Schmidt

The one-dimensional Hubbard model is investigated by means of two different cluster schemes suited to introduce short-range spatial correlations beyond the single-site Dynamical Mean-Field Theory, namely the Cluster-Dynamical Mean-Field…

Strongly Correlated Electrons · Physics 2007-08-07 M. Capone , M. Civelli , S. S. Kancharla , C. Castellani , G. Kotliar

Based on the Kotliar-Ruckenstein slave-boson scheme we develop a configuration-interaction (CI) approach which is suitable to improve the energy of symmetry-broken saddle-point solutions. The theory is applied to spin-polaron states in the…

Strongly Correlated Electrons · Physics 2009-11-13 G. Seibold

I show that the cluster variation method, long used as a powerful hierarchy of approximations for discrete (Ising-like) two-dimensional lattice models, yields exact results on the disorder varieties which appear when competitive…

Statistical Mechanics · Physics 2009-10-31 Alessandro Pelizzola

We study the entanglement entropy and entanglement spectrum of the paradigmatic Bose-Hubbard model, describing strongly correlated bosons on a lattice. The use of a controlled approximation - the slave-boson approach - allows us to study…

Strongly Correlated Electrons · Physics 2016-05-18 Irénée Frérot , Tommaso Roscilde

Flat band physics is a central theme in modern condensed matter physics. By constructing a tight--binding single particle system that has vanishing momentum dispersion in one or more bands, and subsequently including more particles and…

Mathematical Physics · Physics 2025-04-29 Andrew Osborne , Ciro Salcedo , Andrew A. Houck

We consider a binary system of small and large objects in the continuous space interacting via a non-negative potential. By integrating over the small objects, the effective interaction between the large ones becomes multi-body. We prove…

Mathematical Physics · Physics 2020-02-19 Sabine Jansen , Dimitrios Tsagkarogiannis

The extended Hubbard model on a two-dimensional lattice captures key physical phenomena, but is challenging to simulate due to the presence of long-range interactions. In this work, we present an efficient quantum algorithm for simulating…

A density functional theory (DFT) of lattice fermion models is presented, which uses the single-particle density matrix gamma_{ij} as basic variable. A simple, explicit approximation to the interaction-energy functional W[gamma] of the…

Strongly Correlated Electrons · Physics 2009-11-07 R. Lopez-Sandoval , G. M. Pastor

We investigate the static and dynamical behavior of 1D interacting fermions in disordered Hubbard chains, contacted to semi-infinite leads. The chains are described via the repulsive Anderson-Hubbard Hamiltonian, using static and…

Mesoscale and Nanoscale Physics · Physics 2013-03-27 V. Vettchinkina , A. Kartsev , D. Karlsson , C. Verdozzi

We consider a system of particles interacting via a purely repulsive, soft-core potential recently introduced to model effective pair interactions between dendrimers, which is expected to lead to the formation of crystals with multiple…

Soft Condensed Matter · Physics 2015-05-11 Davide Pini

We have studied electron correlations in the doped two-dimensional (2D) Hubbard model by using the coupled-cluster method (CCM) to investigate whether or not the method can be applied to correct the independent particle approximations…

Strongly Correlated Electrons · Physics 2009-10-31 Yoshihiro Asai , Hideki Katagiri

When electron correlations are important it is often necessary to use numerical methods to solve the Hamiltonian for a finite system (cluster) "exactly". Unfortunately, such methods are restricted to small systems. We propose to combine the…

Strongly Correlated Electrons · Physics 2009-10-31 Maciej M. Maska

A new method that accurately describes strongly correlated states and captures dynamical correlation is presented. It is derived as a modification of coupled-cluster theory with single and double excitations (CCSD) through consideration of…

Chemical Physics · Physics 2013-07-15 Daniel Kats , Frederick R. Manby

The complicated ways in which electrons interact in many-body systems such as molecules and materials have long been viewed through the lens of local electron correlation and associated correlation functions. However, quantum information…

Strongly Correlated Electrons · Physics 2024-10-15 Tong Shen , Hatem Barghathi , Adrian Del Maestro , Brenda Rubenstein