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Low-energy positive and negative parity collective states in the equilibrium minimum, and the dynamics of induced fission of actinide nuclei are investigated in a unified theoretical framework based on the generator coordinate method (GCM)…

Nuclear Theory · Physics 2019-05-22 Jie Zhao , Jian Xiang , Zhi-Pan Li , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou

The multi-band Gutzwiller method, combined with calculations based on density functional theory, is employed to study total energy curves of the ferromagnetic ground state of Ni. A new method is presented which allows flow of charge between…

Condensed Matter · Physics 2007-05-23 T. Ohm , S. Weiser , R. Umstätter , W. Weber , J. Bünemann

We review the recently proposed extension of the Gutzwiller approximation, M. Schiro' and M. Fabrizio, Phys. Rev. Lett. 105, 076401 (2010), designed to describe the out-of-equilibrium time-evolution of a Gutzwiller-type variational wave…

Strongly Correlated Electrons · Physics 2015-06-04 Michele Fabrizio

Gutzwiller functions are popular variational wavefunctions for correlated electrons in Hubbard models. Following the variational principle, we are interested in the Gutzwiller parameters that minimize e.g. the expectation value of the…

Strongly Correlated Electrons · Physics 2009-10-31 Erik Koch , Olle Gunnarsson , Richard M. Martin

Renormalization is a powerful concept in the many-body problem. Inspired by the highly successful density matrix renormalization group (DMRG) algorithm, and the quantum chemical graphical representation of configuration space, we introduce…

Chemical Physics · Physics 2016-03-23 Zhendong Li , Garnet Kin-Lic Chan

Generalized Hydrodynamics (GHD) has recently been devised as a method to solve the dynamics of integrable quantum many-body systems beyond the mean-field approximation. In its original form, a major limitation is the inability to predict…

The Density Matrix Renormalisation Group (DMRG) is an electronic structure method that has recently been applied to ab-initio quantum chemistry. Even at this early stage, it has enabled the solution of many problems that would previously…

The first-order phase transitions and related thermodynamics properties are primary concerns of materials sciences and engineering. In traditional atomistic simulations, the phase transitions and the estimation of their thermodynamic…

Chemical Physics · Physics 2023-08-17 Gang Seob Jung , Yoshihide Yoshimoto , Kwang Jin Oh , Shinji Tsuneyuki

We extend a theory of first order hbar corrections to Gutzwiller's trace formula for systems with a smooth potential to systems with discrete symmetries and, as an example, apply the method to the two-dimensional hydrogen atom in a uniform…

Chaotic Dynamics · Physics 2007-05-23 Holger Cartarius , Jörg Main , Günter Wunner

Recently, it has been shown, that the pair density of the homogeneous electron gas can be parametrized in terms of 2-body wave functions (geminals), which are scattering solutions of an effective 2-body Schr\"odinger equation. For the…

Strongly Correlated Electrons · Physics 2015-10-28 P. Ziesche , F. Tasnadi

In the framework of quantum thermodynamics, we propose a method to quantitatively describe thermodynamic quantities for out-of-equilibrium interacting many-body systems. The method is articulated in various approximation protocols which…

Quantum Physics · Physics 2018-02-22 Marcela Herrera , Roberto M. Serra , Irene D'Amico

We use a partially Gutzwiller projected BCS d-wave wavefunction with an antiferromagentic weighting factor to study the ground state phase diagram of a half filled Hubbard-Heisenberg model in a square lattice with nearest neighbor hopping…

Superconductivity · Physics 2015-05-13 Siegfried Guertler , Qiang-Hua Wang , Fu-Chun Zhang

Recently, Fukushima [Phys. Rev. B \textbf{78} 115105 (2008)] proposed a systematic derivation of the Gutzwiller approximation for the t-J model. In the present paper, using this approach we construct an effective single-particle…

Strongly Correlated Electrons · Physics 2010-02-09 Jakub Jȩdrak , Jozef Spałek

Understanding and predicting the behavior of liquid matter across length scales, using only the microscopic interactions encoded in the Schr\"odinger equation, remains a central challenge in the physical sciences. Achieving this goal…

Chemical Physics · Physics 2026-03-24 Anna T. Bui , Stephen J. Cox

A novel parallel hybrid quantum-classical algorithm for the solution of the quantum-chemical ground-state energy problem on gate-based quantum computers is presented. This approach is based on the reduced density-matrix functional theory…

We provide an in-depth examination of the $GW$ approximation of Green's function many-body perturbation theory by detailing both its theoretical and practical aspects in the realm of quantum chemistry. First, the quasiparticle context is…

Chemical Physics · Physics 2024-03-20 Antoine Marie , Abdallah Ammar , Pierre-François Loos

We present a self-consistent numerical approach to solve the Gutzwiller variational problem for general multi-band models with arbitrary on-site interaction. The proposed method generalizes and improves the procedure derived by Deng et al.,…

Strongly Correlated Electrons · Physics 2015-05-30 Nicola Lanatà , Hugo U. R. Strand , Xi Dai , Bo Hellsing

Recent experimental advances in the cooling and manipulation of bialkali dimer molecules have enabled the production of gases of ultracold molecules that are not chemically reactive. It has been presumed in the literature that in the…

The Helmholtz equation arises in many applications, such as seismic and medical imaging. These application are characterized by the need to propagate many wavelengths through an inhomogeneous medium. The typical size of the problems in 3D…

Numerical Analysis · Mathematics 2013-09-23 Tristan van Leeuwen

We present a new quantum molecular dynamics (MD) method where the electronic structure and atomic forces are solved by a real-space dynamical mean-field theory (DMFT). Contrary to most quantum MD methods that are based on effective…

Strongly Correlated Electrons · Physics 2022-08-19 Zhijie Fan , Gia-Wei Chern
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