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We have used the variational and diffusion quantum Monte Carlo methods to calculate the energy, pair correlation function, static structure factor, and momentum density of the ground state of the two-dimensional homogeneous electron gas. We…

介观与纳米尺度物理 · 物理学 2010-03-02 N. D. Drummond , R. J. Needs

The equation of state of a homogeneous two-dimensional Bose gas is calculated using quantum Monte Carlo methods. The low-density universal behavior is investigated using different interatomic model potentials, both finite-ranged and…

其他凝聚态物理 · 物理学 2009-11-10 S. Pilati , J. Boronat , J. Casulleras , S. Giorgini

The diffusion quantum Monte Carlo method is extended to solve the old theoretical physics problem of many-electron atoms and ions in intense magnetic fields. The feature of our approach is the use of adiabatic approximation wave functions…

量子物理 · 物理学 2009-11-13 S. Bucheler , D. Engel , J. Main , G. Wunner

We use a diffusion Monte Carlo method to calculate the lowest energy state of a uniform gas of bosons interacting through different model potentials, both strictly repulsive and with an attractive well. We explicitly verify that at low…

凝聚态物理 · 物理学 2009-10-31 S. Giorgini , J. Boronat , J. Casulleras

Quantum Monte Carlo (QMC) methods can very accurately compute ground state properties of quantum systems. We applied these methods to a system of boson hard spheres to get exact, infinite system size results for the ground state at several…

计算物理 · 物理学 2016-09-08 Mark Dewing

A self-contained and tutorial presentation of the diffusion Monte Carlo method for determining the ground state energy and wave function of quantum systems is provided. First, the theoretical basis of the method is derived and then a…

计算物理 · 物理学 2009-10-30 Ioan Kosztin , Byron Faber , Klaus Schulten

A Monte Carlo method based on a density-of-states sampling is proposed for study of arbitrary statistical mechanical ensembles in a continuum. A random walk in the two-dimensional space of particle number and energy is used to estimate the…

软凝聚态物质 · 物理学 2009-11-07 Qiliang Yan , Roland Faller , Juan J. de Pablo

A quantum Monte Carlo method is introduced to optimize excited state trial wavefunctions. The method is applied in a correlation function Monte Carlo calculation to compute ground and excited state energies of bosonic van der Waals clusters…

计算物理 · 物理学 2009-11-06 M. P. Nightingale , Vilen Melik-Alaverdian

The ground-state properties of spin polarized hydrogen H$\downarrow$ are obtained by means of diffusion Monte Carlo calculations. Using the most accurate to date ab initio H$\downarrow$-H$\downarrow$ interatomic potential we have studied…

其他凝聚态物理 · 物理学 2007-05-23 L. Vranjes Markic , J. Boronat , J. Casulleras

The two-dimensional Wigner crystals are studied with the variational quantum Monte Carlo method. The close relationship between the ground-state wavefunction and the collective excitations in the system is illustrated, and used to guide the…

凝聚态物理 · 物理学 2009-10-28 Xuejun Zhu , Steven G. Louie

Computational codes based on the Diffusion Monte Carlo method can be used to determine the quantum state of two-electron systems confined by external potentials of various nature and geometry. In this work, we show how the application of…

化学物理 · 物理学 2021-02-24 Gaia Micca Longo , Carla Maria Coppola , Domenico Giordano , Savino Longo

Bipolaron formation in a two-dimensional lattice with harmonic confinement, representing a simplified model for a quantum dot, is investigated by means of quantum Monte Carlo simulations. This method treats all interactions exactly and…

强关联电子 · 物理学 2007-10-25 Martin Hohenadler , Peter B Littlewood

The low-temperature properties of a 2D Bose fluid of charged particles interacting through a 1/r potential, moving in the presence of a uniform neutralizing background, is studied by Quantum Monte Carlo simulations. We make use of the…

统计力学 · 物理学 2026-03-27 Massimo Boninsegni

We discuss a projector Monte Carlo method for quantum spin models formulated in the valence bond basis, using the S=1/2 Heisenberg antiferromagnet as an example. Its singlet ground state can be projected out of an arbitrary basis state as…

强关联电子 · 物理学 2007-05-23 A. W. Sandvik , K. S. D. Beach

The hardcore-Bose-Hubbard model with random chemical potential is investigated using quantum Monte Carlo simulation. We consider two cases of random distribution of the chemical potential: a uniformly random distribution and a correlated…

统计力学 · 物理学 2009-03-17 Mitsuaki Tsukamoto , Makoto Tsubota

Path-Integral-Monte-Carlo simulation has been used to calculate the properties of a two-dimensional (2D) interacting Bose system. The bosons interact with hard-core potentials and are confined to a harmonic trap. Results for the density…

统计力学 · 物理学 2007-05-23 Stefan Heinrichs , William J. Mullin

By using exact quantum Monte-Carlo methods we calculate the ground-state properties of the liquid phase in one-dimensional Bose mixtures with contact interactions. We find that the liquid state can be formed if the ratio of coupling…

量子气体 · 物理学 2019-03-27 L. Parisi , G. E. Astrakharchik , S. Giorgini

We formulate a quantum Monte Carlo (QMC) method for calculating the ground state of many-boson systems. The method is based on a field-theoretical approach, and is closely related to existing fermion auxiliary-field QMC methods which are…

计算物理 · 物理学 2009-11-10 Wirawan Purwanto , Shiwei Zhang

Monte Carlo simulations are performed in classical phase space for a one-dimensional quantum harmonic crystal. Symmetrization effects for spinless bosons and fermions are quantified. The algorithm is tested for a range of parameters against…

量子物理 · 物理学 2019-04-25 Phil Attard

A Monte Carlo method is presented to evaluate quantum states with many particles moving in the continuum. The scattering state is generated at each time by a Monte Carlo random sampling algorithm. The same calculation are repeated until the…

核理论 · 物理学 2013-06-06 Zhen-Xiang Xu , Chong Qi
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