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We introduce a general Monte Carlo scheme for achieving atomistic simulations with monoelectronic Hamiltonians including the thermalization of both nuclear and electronic degrees of freedom. The kinetic Monte Carlo algorithm is used to…

材料科学 · 物理学 2009-11-07 F. Calvo , F. Spiegelman

Microscopic models of classical degrees of freedom coupled to non-interacting fermions occur in many different contexts. Prominent examples from solid state physics are descriptions of colossal magnetoresistance manganites and diluted…

统计力学 · 物理学 2009-06-16 Alexander Weiße

We construct an effective low-energy Hamiltonian from the classical action via Monte Carlo with importance sampling. We use Monte Carlo (i) to compute matrix elements of the transition amplitude and (ii) to construct stochastically a basis.…

高能物理 - 格点 · 物理学 2007-05-23 L. A. Caron , H. Kröger , G. Melkonyan , X. Q. Luo , K. J. M. Moriarty

We present a quantum Monte Carlo method which allows calculations on many-fermion systems at finite temperatures without any sign decay. This enables simulations of the grand-canonical ensemble at large system sizes and low temperatures.…

凝聚态物理 · 物理学 2009-10-31 Shiwei Zhang

In order to solve quantum field theory in a non-perturbative way, Lagrangian lattice simulations have been very successful. Here we discuss a recently proposed alternative Hamiltonian lattice formulation - the Monte Carlo Hamiltonian. In…

高能物理 - 格点 · 物理学 2007-05-23 H. Kröger , X. Q. Luo , K. J. M. Moriarty

In this work we introduce a worldline based fermion Monte Carlo algorithm for studying few body quantum mechanics of self-interacting fermions in the Hamiltonian lattice formulation. Our motivation to construct the method comes from our…

核理论 · 物理学 2025-02-28 Shailesh Chandrasekharan , Son T. Nguyen , Thomas R. Richardson

We present a finite-temperature canonical-ensemble determinant quantum Monte Carlo algorithm that enforces an exact fermion number and enables stable simulations of correlated lattice fermions. We propose a stabilized QR update that reduces…

强关联电子 · 物理学 2026-01-21 Tu Hong , Kun Chen , Xiao Yan Xu

The auxiliary-field quantum Monte Carlo (AFMC) method is a powerful and widely used technique for ground-state and finite-temperature simulations of quantum many-body systems. We introduce several algorithmic improvements for…

计算物理 · 物理学 2021-03-18 C. N. Gilbreth , S. Jensen , Y. Alhassid

Quantum computing is a promising way to systematically solve the longstanding computational problem, the ground state of a many-body fermion system. Many efforts have been made to realise certain forms of quantum advantage in this problem,…

量子物理 · 物理学 2023-08-09 Xiaosi Xu , Ying Li

In this work we present a novel quantum Monte-Carlo method for fermions, based on an exact decomposition of the Boltzmann operator $exp(-\beta H)$. It can be seen as a synthesis of several related methods. It has the advantage that it is…

强关联电子 · 物理学 2009-10-31 S. Rombouts , K. Heyde , N. Jachowicz

We present a massively parallel quantum Monte Carlo based implementation of real-space dynamical mean-field theory for general inhomogeneous correlated fermionic lattice systems. As a first application, we study magnetic order in a binary…

量子气体 · 物理学 2010-12-16 N. Blümer , E. V. Gorelik

In any valid Monte Carlo sampling that realizes microcanonical property we can collect statistics for a transition matrix in energy. This matrix is used to determine the density of states, from which most of the thermodynamical averages can…

统计力学 · 物理学 2009-11-10 Jian-Sheng Wang

We address the calculation of dynamical correlation functions for many fermion systems at zero temperature, using the auxiliary-field quantum Monte Carlo method. The two-dimensional Hubbard hamiltonian is used as a model system. Although…

强关联电子 · 物理学 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

Strongly-coupled fermionic systems can support a variety of low-energy phenomena, giving rise to collective condensation, symmetry breaking and a rich phase structure. We explore the potential of worldline Monte Carlo methods for analyzing…

高能物理 - 理论 · 物理学 2010-11-11 Gerald Dunne , Holger Gies , Klaus Klingmuller , Kurt Langfeld

A new Monte Carlo method is proposed for fermion systems interacting with classical degrees of freedom. To obtain a weight for each Monte Carlo sample with a fixed configuration of classical variables, the moment expansion of the density of…

强关联电子 · 物理学 2015-06-24 Yukitoshi Motome , Nobuo Furukawa

The new {\em ab initio} quantum path integral Monte Carlo approach has been developed and applied for the entropy difference calculations for the strongly coupled degenerated uniform electron gas (UEG), a well--known model of simple metals.…

等离子体物理 · 物理学 2021-07-28 Vladimir Filinov , Pavel Levashov , Alexander Larkin

We discuss finite temperature quantum Monte Carlo methods in the framework of the interacting nuclear shell model. The methods are based on a representation of the imaginary-time many-body propagator as a superposition of one-body…

核理论 · 物理学 2009-11-06 Y. Alhassid

Based on the canonical Lang-Firsov transformation of the Hamiltonian we develop a very efficient quantum Monte Carlo algorithm for the Holstein model with one electron. Separation of the fermionic degrees of freedom by a reweighting of the…

强关联电子 · 物理学 2007-05-23 Martin Hohenadler , Hans Gerd Evertz , Wolfgang von der Linden

We propose a Monte Carlo algorithm designed to simulate quantum as well as classical systems at equilibrium, bridging the algorithmic gap between quantum and classical thermal simulation algorithms. The method is based on a novel…

统计力学 · 物理学 2017-12-27 Tameem Albash , Gene Wagenbreth , Itay Hen

A diffusion Monte Carlo algorithm is introduced that can determine the correct nodal structure of the wave function of a few-fermion system and its ground-state energy without an uncontrolled bias. This is achieved by confining signed…

计算物理 · 物理学 2020-02-05 Alexander A. Kunitsa , So Hirata
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