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We discuss differences and similarities between variational Monte Carlo approaches that use conventional and artificial neural network parameterizations of the ground-state wave function for systems of fermions. We focus on a relatively…

介观与纳米尺度物理 · 物理学 2025-01-13 Even M. Nordhagen , Jane M. Kim , Bryce Fore , Alessandro Lovato , Morten Hjorth-Jensen

We briefly review the principles, mathematical bases, numerical shortcuts and applications of fast random walk (FRW) algorithms. This Monte Carlo technique allows one to simulate individual trajectories of diffusing particles in order to…

计算物理 · 物理学 2013-05-01 Denis Grebenkov

We study a single species of fermionic atoms in an "effective" magnetic field at total filling factor $\nu_{f}=1$, interacting through a p-wave Feshbach resonance, and show that the system undergoes a quantum phase transition from a…

强关联电子 · 物理学 2011-05-09 Yafis Barlas , Kun Yang

We revisit the accuracy of the variational Monte Carlo (VMC) method by taking an example of ground state properties for the one-dimensional Hubbard model. We start from the variational wave functions with the Gutzwiller and long-range…

强关联电子 · 物理学 2013-08-13 Ryui Kaneko , Satoshi Morita , Masatoshi Imada

We investigate the one-dimensional Hubbard model with a confining potential, which may describe cold fermionic atoms trapped in an optical lattice. Combining the variational Monte Carlo simulations with the new stochastic reconfiguration…

统计力学 · 物理学 2007-05-23 Yusuke Fujihara , Akihisa Koga , Norio Kawakami

In this paper we consider a minimal classically conformal U(1) model of fermionic dark matter. We calculate the one loop effective potential which generates the mass scale quantum mechanically via dimensional transmutaion in the spirit of…

高能物理 - 唯象学 · 物理学 2024-12-10 Valentin V. Khoze , Daniel L. Milne

From a variational action with non-minimal coupling with a scalar field and classical scalar and fermionic interaction, cosmological field equations can be obtained. Imposing a FLRW metric the equations lead directly to a cosmological model…

广义相对论与量子宇宙学 · 物理学 2011-11-29 Samuel Lepe , Javier Lorca , Francisco Peña , Yerko Vásquez

We investigate the accuracy of trial wave function for quantum Monte Carlo based on pfaffian functional form with singlet and triplet pairing. Using a set of first row atoms and molecules we find that these wave functions provide very…

其他凝聚态物理 · 物理学 2009-02-20 M. Bajdich , L. Mitas , G. Drobný , L. K. Wagner , K. E. Schmidt

The Holstein model of spinless fermions interacting with dispersionless phonons in one dimension is studied by a Green's function Monte Carlo technique. The ground state energy, first fermionic excited state, density wave correlations, and…

凝聚态物理 · 物理学 2009-10-28 Ross H. McKenzie , C. J. Hamer , D. W. Murray

We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wavefunctions of heavy quarkonia are obtained from the Basis Light-Front…

高能物理 - 唯象学 · 物理学 2018-08-28 Meijian Li , Yang Li , Pieter Maris , James P. Vary

We present a simple, robust and highly efficient method for optimizing all parameters of many-body wave functions in quantum Monte Carlo calculations, applicable to continuum systems and lattice models. Based on a strong zero-variance…

其他凝聚态物理 · 物理学 2009-11-11 C. J. Umrigar , Julien Toulouse , Claudia Filippi , S. Sorella , R. G. Hennig

We study fermionic excitations in a hot and dense strongly interacting medium consisting of quarks and (pseudo-)scalar mesons. In particular, we use the two-flavor quark-meson model in combination with the Functional Renormalization Group…

高能物理 - 唯象学 · 物理学 2020-05-15 Ralf-Arno Tripolt , Dirk H. Rischke , Lorenz von Smekal , Jochen Wambach

We have performed a Quantum Monte Carlo study of a two-dimensional bulk sample of interacting 1/2-spin structureless fermions, a model of $^3$He adsorbed on a variety of preplated graphite substrates. We have computed the equation of state…

统计力学 · 物理学 2015-05-27 M. Nava , E. Vitali , A. Motta , D. E. Galli , S. Moroni

A scheme for separating the high- and low-frequency molecular dynamics modes in Hybrid Monte Carlo (HMC) simulations of gauge theories with dynamical fermions is presented. The algorithm is tested in the Schwinger model with Wilson…

高能物理 - 格点 · 物理学 2019-08-14 Mike Peardon , James Sexton

Estimating the contribution from axial-vector intermediate states to hadronic light-by-light scattering requires input on their transition form factors (TFFs). Due to the Landau-Yang theorem, any experiment sensitive to these TFFs needs to…

高能物理 - 唯象学 · 物理学 2021-07-21 Marvin Zanke , Martin Hoferichter , Bastian Kubis

The London ground-state energy formula as a function of number density $\rho $ for a system of boson hard spheres of diameter $c$ at zero temperature (corrected for the reduced mass of a pair of particles in a ``sphere-of-influence''…

统计力学 · 物理学 2007-05-23 M. A. Solis , M. de Llano , J. W. Clark

A new approach to generalised Casimir type of problems is derived within the context of renormalisable quantum field theory (QFT). We study the simplest case of a massive fluctuating boson field coupled to a time-independent background…

高能物理 - 理论 · 物理学 2007-05-23 Markus Quandt

Explicit treatment of many-body Fermi statistics in path integral Monte Carlo (PIMC) results in exponentially scaling computational cost due to the near cancellation of contributions to observables from even and odd permutations. Through…

强关联电子 · 物理学 2014-09-12 Jonathan L DuBois , Ethan W. Brown , Berni J. Alder

We introduce an efficient approach to implement neural network quantum states (NNQS) as trial wavefunctions in auxiliary-field quantum Monte Carlo (AFQMC). NNQS are a recently developed class of variational ans\"atze capable of flexibly…

化学物理 · 物理学 2025-10-07 Zhi-Yu Xiao , Bowen Kan , Huan Ma , Bowen Zhao , Honghui Shang

Recent technical advances in dealing with finite-size errors make quantum Monte Carlo methods quite appealing for treating extended systems in electronic structure calculations, especially when commonly-used density functional theory (DFT)…

材料科学 · 物理学 2016-10-06 Kyle G. Reeves , Yi Yao , Yosuke Kanai