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In the last few years we have been developing a Monte Carlo simulation method to cope with systems of many electrons and ions in the Born-Oppenheimer (BO) approximation, the Coupled Electron-Ion Monte Carlo Method (CEIMC). Electronic…

计算物理 · 物理学 2007-05-23 Carlo Pierleoni , David M. Ceperley

The auxiliary-field quantum Monte Carlo (AFQMC) method provides a computational framework for solving the time-independent Schroedinger equation in atoms, molecules, solids, and a variety of model systems. AFQMC has recently witnessed…

计算物理 · 物理学 2018-08-14 Mario Motta , Shiwei Zhang

We introduce a Quantum Monte Carlo (QMC) method which efficiently simulates in a sign-problem-free way a broad class of frustrated $S=1/2$ models with competing antiferromagnetic interactions. Our scheme uses the basis of total spin…

强关联电子 · 物理学 2016-11-09 Fabien Alet , Kedar Damle , Sumiran Pujari

Efficient continuous time quantum Monte Carlo (CT-QMC) algorithms that do not suffer from time discretization errors have become the state-of-the-art for most discrete quantum models. They have not been widely used yet for fermionic quantum…

强关联电子 · 物理学 2015-07-08 Mauro Iazzi , Matthias Troyer

We present the first open access version of the QMeCha (Quantum MeCha) code, a quantum Monte Carlo (QMC) package developed to study many-body interactions between different types of quantum particles, with a modular and easy-to-expand…

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

We present three modifications to our recently introduced fast randomized iteration method for full configuration interaction (FCI-FRI) and investigate their effects on the method's performance for Ne, H$_2$O, and N$_2$. The initiator…

计算物理 · 物理学 2023-10-03 Samuel M. Greene , Robert J. Webber , Jonathan Weare , Timothy C. Berkelbach

Feedback-based quantum algorithms have recently emerged as potential methods for approximating the ground states of Hamiltonians. One such algorithm, the feedback-based algorithm for quantum optimization (FALQON), is specifically designed…

量子物理 · 物理学 2025-08-18 Salahuddin Abdul Rahman , Özkan Karabacak , Rafal Wisniewski

Strongly correlated fermionic systems are of great interest in condensed matter physics and numerical methods are indispensable tools for their study. However, existing approaches such as exact diagonalization (ED) and stochastic quantum…

强关联电子 · 物理学 2026-03-19 Finn L. Temmen , Martina Gisti , David J. Luitz , Thomas Luu , Johann Ostmeyer

We theoretically study topological phase transitions in four generalized versions of the Kane-Mele-Hubbard model with up to $2\times 18^2$ sites. All models are free of the fermion-sign problem allowing numerically exact quantum Monte Carlo…

强关联电子 · 物理学 2014-06-10 Hsiang-Hsuan Hung , Victor Chua , Lei Wang , Gregory A. Fiete

The quantum Monte-Carlo method is applied to two-dimensional electron systems under strong magnetic fields. The negative-sign problem involved by this method can be avoided for certain filling factors by modifying interaction parameters…

介观与纳米尺度物理 · 物理学 2009-11-10 Sei Suzuki , Tatsuya Nakajima

We use Quantum Monte Carlo (QMC) simulations to study the pairing mechanism in a one-dimensional fermionic system governed by the Hubbard model with attractive contact interaction and with imbalance between the two spin populations. This is…

量子气体 · 物理学 2015-03-17 M. J. Wolak , V. G. Rousseau , G. G. Batrouni

Recent variational studies have demonstrated that the strongly correlated ground states of the fractional quantum Hall (FQH) effect can be captured using machine learning approaches starting from no prior knowledge of the underlying…

强关联电子 · 物理学 2025-12-02 Mytraya Gattu

In this work, we test a recently developed method to enhance classical auxiliary-field quantum Monte Carlo (AFQMC) calculations with quantum computers against examples from chemistry and material science, representatives of classes of…

The diagramatic Monte Carlo method has so far been primarily used in connection with the weak coupling expansion. Here we show that the strong coupling expansion offers a significant advantage: it can be efficiently implemented on both the…

强关联电子 · 物理学 2023-11-17 Kristjan Haule

We provide an extension to lattice systems of the reptation quantum Monte Carlo algorithm, originally devised for continuous Hamiltonians. For systems affected by the sign problem, a method to systematically improve upon the so-called…

其他凝聚态物理 · 物理学 2010-10-26 Giuseppe Carleo , Federico Becca , Saverio Moroni , Stefano Baroni

We tutorially review the determinantal Quantum Monte Carlo method for fermionic systems, using the Hubbard model as a case study. Starting with the basic ingredients of Monte Carlo simulations for classical systems, we introduce aspects…

强关联电子 · 物理学 2007-05-23 Raimundo R. dos Santos

We introduce a new numerical technique -- bosonic auxiliary-field Monte Carlo (bAFMC) -- which allows to calculate the thermal properties of large lattice-boson systems within a systematically improvable semiclassical approach, and which is…

强关联电子 · 物理学 2017-08-02 Daniele Malpetti , Tommaso Roscilde

An efficient continuous-time path-integral Quantum Monte Carlo algorithm for the lattice polaron is presented. It is based on Feynman's integration of phonons and subsequent simulation of the resulting single-particle self-interacting…

强关联电子 · 物理学 2009-10-31 P E Kornilovitch

The uniform electron gas (UEG) at finite temperature is of key relevance for many applications in the warm dense matter regime, e.g. dense plasmas and laser excited solids. Also, the quality of density functional theory calculations…

强关联电子 · 物理学 2016-02-10 S. Groth , T. Schoof , T. Dornheim , M. Bonitz