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We consider the ground state of an atom in the framework of non-relativistic qed. We show that the ground state as well as the ground state energy are analytic functions of the coupling constant which couples to the vector potential, under…

Mathematical Physics · Physics 2010-09-07 David Hasler , Ira Herbst

In the case of a two-leg Hubbard ladder we present a procedure which allows the exact deduction of the ground state for the four particle problem in arbitrary large lattice system, in a tractable manner, which involves only a reduced…

Strongly Correlated Electrons · Physics 2009-11-11 Endre Kovacs , Zsolt Gulacsi

We show that the analytic single-particle density of states and the optical conductivity for the half-filled Hubbard model on the Bethe lattice in infinite dimensions describe quantitatively the behavior of the gap and the kinetic energy…

Condensed Matter · Physics 2013-07-22 Jongbae Hong , Hae-Young Kee

We investigate ground state properties of the half-filled staggered-flux Hubbard model on a square lattice. Energy gaps to charge and spin excitations and magnetic as well as dimer orders are calculated as a function of interaction strength…

Strongly Correlated Electrons · Physics 2015-06-04 Chia-Chen Chang , Richard T. Scalettar

We show that the one-dimensional extended Hubbard model has saturated ferromagnetic ground states with the spin-triplet electron pair condensation in a certain range of parameters. The ground state wave functions with fixed electron numbers…

Strongly Correlated Electrons · Physics 2016-10-12 Akinori Tanaka

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

Computing many-body ground state energies and resolving electronic structure calculations are fundamental problems for fields such as quantum chemistry or condensed matter. Several quantum computing algorithms that address these problems…

Quantum Physics · Physics 2023-01-12 Karen J. Morenz Korol , Kenny Choo , Antonio Mezzacapo

We investigate low-energy excitations of the one-dimensional half-filled SU(4) Hubbard model with an attractive on-site interaction U < 0 using the density matrix renormalization group method as well as a perturbation theory. We find that…

Strongly Correlated Electrons · Physics 2009-11-11 Jize Zhao , Kazuo Ueda , Xiaoqun Wang

As a prototype model of antiferromagnetism, we propose a repulsive Hubbard Hamiltonian defined on a graph $\L={\cal A}\cup{\cal B}$ with ${\cal A}\cap {\cal B}=\emptyset$ and bonds connecting any element of ${\cal A}$ with all the elements…

Strongly Correlated Electrons · Physics 2007-05-23 Gianluca Stefanucci , Michele Cini

We describe a general method to study the ground state phase diagram of electronic models on chains whose extended Hubbard hamiltonian is formed by a generalized permutator plus a band-controlling term. The method, based on the appropriate…

Strongly Correlated Electrons · Physics 2009-10-31 F. Dolcini , A. Montorsi

The Hubbard model with an additional bond-charge interaction $X$ is solved exactly in one dimension for the case $t=X$ where $t$ is the hopping amplitude. In this case the number of doubly occupied sites is conserved. In the sector with no…

Condensed Matter · Physics 2009-10-22 Andreas Schadschneider

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

We derive an upper bound on the ground state energy of the three-dimensional (3D) repulsive Hubbard model on the cubic lattice agreeing in the low density limit with the known asymptotic expression of the ground state energy of the dilute…

Mathematical Physics · Physics 2009-11-11 Alessandro Giuliani

We present a large deviation analysis of a recently proposed probabilistic approach to the study of the ground-state properties of lattice quantum systems. The ground-state energy, as well as the correlation functions in the ground state,…

Other Condensed Matter · Physics 2011-02-16 Massimo Ostilli , Carlo Presilla

Working in a subspace with dimensionality much smaller than the dimension of the full Hilbert space, we deduce exact 4-particle ground states in 2D samples containing hexagonal repeat units and described by Hubbard type of models. The…

Strongly Correlated Electrons · Physics 2014-06-26 Reka Trencsenyi , Konstantin Glukhov , Zsolt Gulacsi

The ground state phase diagram of the extended Hubbard model containing nearest and next-to-nearest neighbor interactions is investigated in the thermodynamic limit using an exact method. It is found that taking into account local…

Strongly Correlated Electrons · Physics 2009-10-31 Zsolt Szabo

The Hubbard model is a challenging quantum many-body problem and serves as a benchmark for quantum computing research. Accurate computation of its ground and excited state energies is essential for understanding correlated electron systems.…

Quantum Physics · Physics 2025-09-03 Mrinal Dev , Bikash K. Behera , Vivek Vyas , Prasanta K. Panigrahi

The excited states of a charged particle interacting with the quantized electromagnetic field and an external potential all decay, but such a particle should have a true ground state--one that minimizes the energy and satisfies the…

Mathematical Physics · Physics 2009-10-31 Marcel Griesemer , Elliott H. Lieb , Michael Loss

Using quantum Monte Carlo simulations, results of a strong-coupling expansion, and Luttinger liquid theory, we determine quantitatively the ground state phase diagram of the one-dimensional extended Hubbard model with on-site and…

Strongly Correlated Electrons · Physics 2009-11-10 A. W. Sandvik , L. Balents , D. K. Campbell

We benchmark constrained-path Monte Carlo (CPMC) on the triangular-lattice Hubbard model for several fillings and $U$ values and show that symmetry-adapted trial wave functions are essential for quantitative accuracy. Away from…

Strongly Correlated Electrons · Physics 2026-03-17 Shu Fay Ung , Ankit Mahajan , David R. Reichman