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Ground-state properties, such as energies and double occupancies, of a one-dimensional two-band Hubbard model are calculated using a first principles Gutzwiller conjugate gradient minimization theory. The favorable agreement with the…

强关联电子 · 物理学 2023-01-18 Zhuo Ye , Feng Zhang , Yong-Xin Yao , Cai-Zhuang Wang , Kai-Ming Ho

We apply two ab initio many-body methods based on Gutzwiller wave functions, i.e., correlation matrix renormalization theory (CMRT) and Gutzwiller conjugate gradient minimization (GCGM), to the study of crystalline phases of atomic…

强关联电子 · 物理学 2025-10-06 Zhuo Ye , Jun Liu , Yong-Xin Yao , Feng Zhang , Kai-Ming Ho , Cai-Zhuang Wang

We develop a variational scheme called "Gutzwiller renormalization group" (GRG), which enables us to calculate the ground state of Anderson impurity models (AIM) with arbitrary numerical precision. Our method can exploit the…

强关联电子 · 物理学 2017-02-15 Nicola Lanatà , Yong-Xin Yao , Xiaoyu Deng , Cai-Zhuang Wang , Kai-Ming Ho , Gabriel Kotliar

We present GW many-body results for ground-state properties of two simple but very distinct families of inhomogenous systems in which traditional implementations of density-functional theory (DFT) fail drastically. The GW approach gives…

材料科学 · 物理学 2009-11-07 P. Garcia-Gonzalez , R. W. Godby

The minimum of the Gutzwiller energy functional depends on the number of parameters considered in the variational state. For a three-orbital Hubbard model we find that the frequently used diagonal Ansatz is very accurate in high-symmetry…

强关联电子 · 物理学 2017-07-19 Jörg Bünemann , Thorben Linneweber , Florian Gebhard

The ghost Gutzwiller ansatz (gGut) embedding technique was shown to achieve comparable accuracy to the gold standard dynamical mean-field theory method in simulating real material properties, yet at a much lower computational cost. Despite…

量子物理 · 物理学 2025-06-27 P. V. Sriluckshmy , François Jamet , Fedor Šimkovic

The determination of the ground state of quantum many-body systems via digital quantum computers rests upon the initialization of a sufficiently educated guess. This requirement becomes more stringent the greater the system. Preparing…

量子物理 · 物理学 2021-06-30 Bruno Murta , Joaquín Fernández-Rossier

The study of ground-state properties of the Fermi-Hubbard model is a long-lasting task in the research of strongly correlated systems. Owing to the exponentially growing complexity of the system, a quantitative analysis usually demands high…

强关联电子 · 物理学 2023-08-15 Yue-Ran Shi , Yuan-Yao He , Ruijin Liu , Wei Zhang

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…

强关联电子 · 物理学 2009-11-07 Marcus Kollar , Dieter Vollhardt

We introduce Gutzwiller-correlated wave functions for the variational investigation of general multi-band Hubbard models. We set up a diagrammatic formalism which allows us to evaluate analytically ground-state properties in the limit of…

强关联电子 · 物理学 2009-10-30 Joerg Buenemann , Florian Gebhard , Werner Weber

We present a theory of the dynamical two-particle response function in the Hubbard model based on the time-dependent Gutzwiller approximation. The results are in excellent agreement with exact diagonalization on small clusters and give…

强关联电子 · 物理学 2008-06-16 G. Seibold , F. Becca , J. Lorenzana

The determination of ground state properties of quantum systems is a fundamental problem in physics and chemistry, and is considered a key application of quantum computers. A common approach is to prepare a trial ground state on the quantum…

量子物理 · 物理学 2023-12-13 Harish J. Vallury , Lloyd C. L. Hollenberg

We present a method to compute pairing fluctuations on top of the Gutzwiller approximation (GA). Our investigations are based on a charge-rotational invariant GA energy functional which is expanded up to second order in the pair…

强关联电子 · 物理学 2008-10-09 G. Seibold , F. Becca , J. Lorenzana

In the present paper, we propose an efficient numerical scheme for Gutzwiller method for multi-band Hubbard models with general onsite Coulomb interaction. Following the basic idea of Deng et al. [Phys. Rev. B 79, 075114 (2009)] and…

强关联电子 · 物理学 2021-11-18 Shiyu Peng , Hongming Weng , Xi Dai

The two-dimensional Hubbard model is studied using the variational quantum Monte Carlo technique with Gutzwiller-type variational wave functions. In addition to the simple one-site correlated Gutzwiller wave function, we use a form with…

强关联电子 · 物理学 2007-05-23 A. Harju

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…

强关联电子 · 物理学 2009-09-25 Yu. B. Kudasov

We propose an algorithm to obtain the ground-state energy of a many-electron system using the variational wave function of a linear combination of antisymmetrized geminal powers. We optimized this algorithm to obtain the energy and the…

化学物理 · 物理学 2019-06-07 Wataru Uemura , Takahito Nakajima

We develop a quantum many-body theory of the Bose-Hubbard model based on the canonical quantization of the action derived from a Gutzwiller mean-field ansatz. Our theory is a systematic generalization of the Bogoliubov theory of…

量子气体 · 物理学 2020-08-24 Fabio Caleffi , Massimo Capone , Chiara Menotti , Iacopo Carusotto , Alessio Recati

We develop an extension of the Gutzwiller Approximation (GA) formalism that includes the effects of Coulomb interactions of arbitrary range (including density density, exchange, pair hopping and Coulomb assisted hopping terms). This…

强关联电子 · 物理学 2020-08-05 Garry Goldstein , Nicola Lanata , Gabriel Kotliar

Minimizing the energy of an $N$-electron system as a functional of a two-electron reduced density matrix (2-RDM), constrained by necessary $N$-representability conditions (conditions for the 2-RDM to represent an ensemble $N$-electron…

化学物理 · 物理学 2016-06-21 Nicholas C. Rubin , David A. Mazziotti
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