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The unitary equal-mass Fermi gas with zero-range interactions constitutes a paradigmatic model system that is relevant to atomic, condensed matter, nuclear, particle, and astro physics. This work determines the fourth-order virial…

量子气体 · 物理学 2016-06-15 Yangqian Yan , D. Blume

While the zero-temperature properties of harmonically trapped cold few-atom systems have been discussed fairly extensively over the past decade, much less is known about the finite-temperature properties. Working in the canonical ensemble,…

量子气体 · 物理学 2015-06-22 Yangqian Yan , D. Blume

We present a Wave Operator Minimization (WOM) method for calculating the Fermi-Dirac density matrix for electronic structure problems at finite temperature while preserving physicality by construction using the wave operator, i.e., the…

量子物理 · 物理学 2024-04-03 Jacob M. Leamer , William Dawson , Denys I. Bondar

We study a trapped system of fermions with an attractive zero-range two-body interaction using the Shell-Model Monte Carlo method. The method provides {\em ab initio} results in the low $N$ limit where mean-field theory is not applicable.…

超导电性 · 物理学 2008-08-04 N. T. Zinner , K. Mølmer , C. Özen , K. Langanke , D. J. Dean

We develop a new algorithm to estimate the temperature of a nonneutral plasma in a Penning-Malmberg trap. The algorithm analyzes data obtained by slowly lowering a voltage that confines one end of the plasma and collecting escaping charges,…

等离子体物理 · 物理学 2024-09-19 Adrianne Zhong , Joel Fajans , Jonathan S. Wurtele

The theoretical treatment of Fermi systems consisting of particles with unequal masses is challenging. Even in one spatial dimension analytic solutions are limited to special configurations and numerical progress with Monte Carlo…

量子气体 · 物理学 2018-07-19 Lukas Rammelmüller , Joaquín E. Drut , Jens Braun

We study, through the diffusion Monte Carlo method, a spin one-half fermion fluid, in the three dimensional Euclidean space, at zero temperature. The point particles, immersed in a uniform "neutralizing" background, interact with a…

强关联电子 · 物理学 2013-07-11 Riccardo Fantoni

Variational Monte Carlo is a many-body numerical method that scales well with system size. It has been extended to study the Green function only recently by Charlebois and Imada (2020). Here we generalize the approach to systems with open…

强关联电子 · 物理学 2022-12-20 P. Rosenberg , D. Sénéchal , A. -M. S. Tremblay , M. Charlebois

We compare two calculations of the particle density in the superfluid phase of the classical XY model with a chemical potential $\mu$ in 1+1 dimensions.The first relies on exact blocking formulas from the Tensor Renormalization Group (TRG)…

统计力学 · 物理学 2016-01-26 Li-Ping Yang , Yuzhi Liu , Haiyuan Zou , Z. Y. Xie , Y. Meurice

We study the zero-temperature phase diagram of bosons interacting via screened Coulomb (Yukawa) potential by means of the diffusion Monte Carlo method. The Yukawa potential is used as a model interaction in the neutron matter, dusty plasmas…

量子气体 · 物理学 2012-06-05 O. N. Osychenko , G. E. Astrakharchik , F. Mazzanti , J. Boronat

For strongly quantum-degenerate systems at finite temperatures, the fermion sign problem remains the major obstacle to first-principles simulations. In this work, we apply the recently proposed pseudo-fermion method - designed to overcome…

计算物理 · 物理学 2026-03-31 Yunuo Xiong , Tommaso Morresi , Hongwei Xiong

We give a simple toy model to study a famous Jahn-Teller type molecule. Finite lifetime due to non-adiabatic coupling and finite temperature effect results in the effective Hamiltonian to be non-Hermitian. This effect pulls a conical…

化学物理 · 物理学 2020-10-06 J. Li

We consider a gas of neutral fermionic atoms at ultra-low temperatures, with the attractive interaction tuned to Feshbach resonance. We calculate, the variation of the chemical potential and the energy per particle as a function of…

其他凝聚态物理 · 物理学 2009-11-11 R. K. Bhaduri , M. V. N. Murthy , M. K. Srivastava

Precise knowledge of the static density response function (SDRF) of the uniform electron gas (UEG) serves as key input for numerous applications, most importantly for density functional theory beyond generalized gradient approximations.…

强关联电子 · 物理学 2017-11-06 Simon Groth , Tobias Dornheim , Michael Bonitz

The physics of a two-component cold fermi gas is now frequently addressed in laboratories. Usually this is done for large samples of tens to hundreds of thousands of particles. However, it is now possible to produce few-body systems (1-100…

核理论 · 物理学 2014-08-15 C. Özen , N. T. Zinner

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 modified algorithm is proposed to include Pauli exclusion principle in Monte-Carlo simulations. This algorithm has significant advantages to implement in terms of simplicity, speed and memory storage. We show that even in moderately high…

材料科学 · 物理学 2015-06-25 Mona Zebarjadi , Ceyhun Bulutay , Keivan Esfarjani , Ali Shakouri

The spin 1/2 Heisenberg model on a square lattice with antiferromagnetic nearest- and next-nearest neighbour interactions (the $J_1$--$J_2$ model) has long been studied as a paradigm of a two-dimensional frustrated quantum magnet. Only very…

强关联电子 · 物理学 2007-05-23 Nic Shannon , Burkhard Schmidt , Karlo Penc , Peter Thalmeier

Quantum Monte Carlo belongs to the most accurate simulation techniques for quantum many-particle systems. However, for fermions, these simulations are hampered by the sign problem that prohibits simulations in the regime of strong…

计算物理 · 物理学 2020-10-28 A. Yilmaz , K. Hunger , T. Dornheim , S. Groth , M. Bonitz

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