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The relationship between the exact kinetic energy density in a quantum system in the frame of Density Functional Theory and the semiclassical functional expression for the same quantity is investigated. The analysis is performed with Monte…

原子与分子团簇 · 物理学 2014-12-15 D. I. Palade

Variational Monte Carlo is a many-body numerical method that scales well with system size. It has been extended to study the Green function only recently by Charlebois and Imada (2020). Here we generalize the approach to systems with open…

强关联电子 · 物理学 2022-12-20 P. Rosenberg , D. Sénéchal , A. -M. S. Tremblay , M. Charlebois

We present a diagrammatic Monte Carlo method for quantum impurity problems with general interactions and general hybridization functions. Our method uses a recursive determinant scheme to sample diagrams for the scattering amplitude. Unlike…

强关联电子 · 物理学 2020-08-13 Jia Li , Markus Wallerberger , Emanuel Gull

This paper proposes an efficient method for the simultaneous estimation of the state of a quantum system and the classical parameters that govern its evolution. This hybrid approach benefits from efficient numerical methods for the…

量子物理 · 物理学 2017-11-08 Jason F Ralph , Simon Maskell , Kurt Jacobs

Recent measurements of quasiparticles in hole-doped cuprates reveal highly unusual features: 1) the doping-independent Fermi velocity, 2) two energy scales in the quasiparticle spectral function, and 3) a suppression of the low energy…

超导电性 · 物理学 2009-11-13 Fei Tan , Qiang-Hua Wang

The dynamical mean field theory (DMFT) has become a standard technique for the study of strongly correlated models and materials overcoming some of the limitations of density functional approaches based on local approximations. An important…

强关联电子 · 物理学 2015-10-28 K. Hallberg , D. J. García , Pablo S. Cornaglia , Jorge I. Facio , Y. Núñez-Fernández

Recent developments in quantum hardware and quantum algorithms have made it possible to utilize the capabilities of current noisy intermediate-scale quantum devices for addressing problems in quantum chemistry and condensed matter physics.…

量子物理 · 物理学 2023-05-01 Steffen Backes , Yuta Murakami , Shiro Sakai , Ryotaro Arita

We present a simple and efficient method to incorporate anharmonic effects in the vibrational \textcolor{black}{analyses} of molecules within density functional theory (DFT) calculations. This approach is closely related to the traditional…

Motivated by the intriguing physics of quasi-2d fermionic systems, such as high-temperature superconducting oxides, layered transition metal chalcogenides or surface or interface systems, the development of many-body computational methods…

强关联电子 · 物理学 2022-06-22 Steffen Backes , Jae-Hoon Sim , Silke Biermann

We present a novel approximation scheme for the treatment of strongly correlated electrons in arbitrary crystal lattices. The approach extends the well-known dynamical mean field theory to include nonlocal two-site correlations of arbitrary…

强关联电子 · 物理学 2012-04-16 Torben Jabben , Norbert Grewe , Sebastian Schmitt

Numerical results for ground state and excited state properties (energies, double occupancies, and Matsubara-axis self energies) of the single-orbital Hubbard model on a two-dimensional square lattice are presented, in order to provide an…

The anisotropic two-orbital Hubbard model with different bandwidths and degrees of frustration in each orbital is investigated in the framework of both single-site dynamical mean-field theory (DMFT) as well as its cluster extension (DCA)…

强关联电子 · 物理学 2015-05-28 Hunpyo Lee , Yu-Zhong Zhang , Harald O. Jeschke , Roser Valenti

We use quantum Monte-Carlo simulations to calculate the phase diagram and the correlation functions for the quantum phase transitions in the two-dimensional dissipative XY model with and without four-fold anisotropy. Without anisotropy, the…

强关联电子 · 物理学 2015-06-05 Lijun Zhu , Yan Chen , Chandra M. Varma

We propose a multilevel Monte Carlo method for a particle-based asymptotic-preserving scheme for kinetic equations. Kinetic equations model transport and collision of particles in a position-velocity phase-space. With a diffusive scaling,…

数值分析 · 数学 2020-05-21 Emil Løvbak , Giovanni Samaey , Stefan Vandewalle

Although several impurity solvers in the dynamical mean field theory (DMFT) have been proposed, especially in multi-band systems, there are practical difficulties arising from a trade-off between numerical costs and reliability. In this…

强关联电子 · 物理学 2021-08-04 Ryota Mizuno , Masayuki Ochi , Kazuhiko Kuroki

An efficient estimator is constructed for the quadratic covariation or integrated co-volatility matrix of a multivariate continuous martingale based on noisy and nonsynchronous observations under high-frequency asymptotics. Our approach…

统计理论 · 数学 2014-07-02 Markus Bibinger , Nikolaus Hautsch , Peter Malec , Markus Reiß

The dynamics of samples in the continuous-imaginary-time quantum world-line Monte Carlo simulations with extended ensembles are investigated. In the case of a conventional flat ensemble on the one-dimensional quantum S=1 bi-quadratic model,…

统计力学 · 物理学 2011-11-10 Kenji Harada , Yuto Kuge

We used methods of Bayesian statistical inference and the principle of maximum entropy to analytically continue imaginary-time Green's function generated in quantum Monte Carlo simulations to obtain the real-time Green's functions. For test…

凝聚态物理 · 物理学 2009-10-28 J. Bonca , J. E. Gubernatis

The integral equation method is widely used in numerical simulations of 2D/3D acoustic and electromagnetic scattering problems, which needs a large number of values of the Green's functions. A significant topic is the scattering problems in…

数值分析 · 数学 2018-07-26 Bo Zhang , Ruming Zhang

We implement Monte Carlo Renormalization Group (MCRG) in the continuous-time Monte Carlo simulation of a quantum system. We demonstrate numerically the emergent isotropy between space and time at large distances for the systems that exhibit…

统计力学 · 物理学 2020-10-07 Yantao Wu , Roberto Car