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Two approaches for the efficient rational approximation of the Fermi-Dirac function are discussed: one uses the contour integral representation and conformal mapping and the other is based on a version of the multipole representation of the…

数值分析 · 数学 2009-12-14 Lin Lin , Jianfeng Lu , Lexing Ying , E Weinan

We present extensive \textit{ab initio} path integral Monte Carlo (PIMC) simulations of two-dimensional quantum dipole systems in a harmonic confinement, taking into account both Bose- and Fermi-statistics. This allows us to study the…

计算物理 · 物理学 2020-08-12 Tobias Dornheim

Direct sampling of multi-dimensional systems with quantum Monte Carlo methods allows exact account of many-body effects or particle correlations. The most straightforward approach to solve the Schr\"odinger equation, Diffusion Monte Carlo,…

量子物理 · 物理学 2017-09-07 Ilkka Ruokosenmäki , Tapio T. Rantala

Quantitative theory of interbilayer interactions is essential to interpret x-ray scattering data and to elucidate these interactions for biologically relevant systems. For this purpose Monte Carlo simulations have been performed to obtain…

生物物理 · 物理学 2009-10-31 Nikolai Gouliaev , John F. Nagle

We study Monte Carlo calculations of the effective potential for a scalar field theory using three techniques. One of these is a new method proposed and tested for the first time. In each case we extract the renormalised quantities of the…

高能物理 - 格点 · 物理学 2010-03-04 A. Ardekani , A. G. Williams

Correlated fermions are of high interest in condensed matter (Fermi liquids, Wigner molecules), cold atomic gases and dense plasmas. Here we propose a novel approach to path integral Monte Carlo (PIMC) simulations of strongly degenerate…

量子气体 · 物理学 2016-01-15 Tobias Dornheim , Simon Groth , Alexey Filinov , Michael Bonitz

A quasiclassical correspondent for the fermion degrees of freedom is obtained by using a time-dependent variational principle with Grassmann coherent states as trial functions. In the real parametrization provided by the canonical…

统计力学 · 物理学 2009-11-07 M. Grigorescu , W. E. Baylis

We propose a bilinear sampling algorithm in Green's function Monte Carlo for expectation values of operators that do not commute with the Hamiltonian and for differences between eigenvalues of different Hamiltonians. The integral…

凝聚态物理 · 物理学 2010-01-12 Shiwei Zhang , M. H. Kalos

We define and characterize multi-time Lagrangian structure functions using data stemming from two swirling flows with mean flow and turbulent fluctuations: A Taylor-Green numerical flow, and a von K\'arm\'an laboratory experiment. Data is…

流体动力学 · 物理学 2022-07-21 Sofía Angriman , Pablo D. Mininni , Pablo J. Cobelli

We consider a one-dimensional gas of spin-1/2 fermions interacting through $\delta$-function repulsive potential of an arbitrary strength. For the case of all fermions but one having spin up, we calculate time-dependent two-point…

数学物理 · 物理学 2015-01-21 O. Gamayun , A. G. Pronko , M. B. Zvonarev

We present a new Monte Carlo scheme for the efficient simulation of multi-polymer systems. The method permits chains to be inserted into the system using a biased growth technique. The growth proceeds via the use of a retractable feeler,…

统计力学 · 物理学 2009-10-31 S. Consta , N. B. Wilding , D. Frenkel , Z. Alexandrowicz

We apply the iterative numerical algorithm ALPHA, which automatically generates the N-point Green functions (as recently suggested \cite{alpha}) to the computation of the production rate of four fermions and four fermions plus photon in…

高能物理 - 唯象学 · 物理学 2007-05-23 F. Caravaglios , M. Moretti

We propose an interaction flow scheme that sums up the perturbation expansion of many-particle systems by successively increasing the interaction strength. It combines the unbiasedness of renormalization group methods with the simplicity of…

强关联电子 · 物理学 2007-05-23 Carsten Honerkamp , Daniel Rohe , Sabine Andergassen , Tilman Enss

The partition function of a factor graph can sometimes be accurately estimated by Monte Carlo methods. In this paper, such methods are extended to factor graphs with negative and complex factors.

统计计算 · 统计学 2012-10-09 Mehdi Molkaraie , Hans-Andrea Loeliger

The past few years have seen considerable progress in algorithmic development for the generation of gauge fields including the effects of dynamical fermions. The Rational Hybrid Monte Carlo (RHMC) algorithm, where Hybrid Monte Carlo is…

高能物理 - 格点 · 物理学 2008-11-26 M. A. Clark

We investigate the attractive Fermi polaron problem in two dimensions using non-perturbative Monte Carlo simulations. We introduce a new Monte Carlo algorithm called the impurity lattice Monte Carlo method. This algorithm samples the path…

量子气体 · 物理学 2015-10-29 Shahin Bour , Dean Lee , H. -W. Hammer , Ulf-G. Meißner

We propose a general framework of quantum kinetic Monte Carlo algorithm, based on a stochastic representation of a series expansion of the quantum evolution. Two approaches have been developed in the context of quantum many-body spin…

计算物理 · 物理学 2018-01-17 Zhenning Cai , Jianfeng Lu

It is shown that it is possible to quantitatively explain quantum Monte Carlo results for the Green's function of the two-dimensional Hubbard model in the weak to intermediate coupling regime. The analytic approach includes vertex…

凝聚态物理 · 物理学 2016-08-31 Y. M. Vilk , A. -M. S. Tremblay

The Wilson fermion determinant can be written as product of the determinants of two hermitian positive definite matrices. This formulation allows to simulate non-degenerate quark flavors by means of the hybrid Monte Carlo algorithm. A major…

高能物理 - 格点 · 物理学 2011-04-15 Thomas Lippert

Variational (Rayleigh-Ritz) methods are applied to local quantum field theory. For scalar theories the wave functional is parametrized in the form of a superposition of Gaussians and the expectation value of the Hamiltonian is expressed in…

高能物理 - 理论 · 物理学 2016-08-25 George Tiktopoulos