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We study the single-particle spectral function of resonantly-interacting fermions in the unitary regime, as described by the three-dimensional attractive Hubbard model in the dilute limit. Our approach, based on the Dynamical Cluster…

Quantum Gases · Physics 2013-05-29 Shi-Quan Su , Daniel E. Sheehy , Juana Moreno , Mark Jarrell

We use variational quantum Monte Carlo to calculate the density-functional exchange-correlation hole n_{xc}, the exchange-correlation energy density e_{xc}, and the total exchange-correlation energy E_{xc}, of several electron gas systems…

Materials Science · Physics 2009-10-31 Maziar Nekovee , W. M. C. Foulkes , R. J. Needs

Restricted path integral Monte Carlo simulations are used to calculate the equilibrium properties of hydrogen in the density and temperature range of $9.83 \times 10^{-4}\rm \leq \rho \leq 0.153 \rm gcm^{-3}$ and $5000 \leq T \leq 250 000…

Plasma Physics · Physics 2009-11-07 B. Militzer , D. M. Ceperley

We calculate the ground-state properties of unpolarized two-component Fermi gas by the diffusion quantum Monte Carlo (DMC) methods. Using an extrapolation to the zero effective range of the attractive two-particle interaction, we find…

Quantum Gases · Physics 2013-05-29 Xin Li , Jindrich Kolorenc , Lubos Mitas

Variational and diffusion quantum Monte Carlo methods are employed to investigate the zero-temperature phase diagram of the three-dimensional homogeneous electron gas at very low density. Fermi fluid and body-centered cubic Wigner crystal…

Strongly Correlated Electrons · Physics 2022-07-13 Sam Azadi , N. D. Drummond

One-dimensional world is very unusual as there is an interplay between quantum statistics and geometry, and a strong short-range repulsion between atoms mimics Fermi exclusion principle, fermionizing the system. Instead, a system with a…

Quantum Gases · Physics 2016-11-16 N. Matveeva , G. E. Astrakharchik

We develop a Monte Carlo framework to analyze the statistics of quantum work in correlated electron systems. Using the Ising-Kondo model in heavy fermions as a paradigmatic platform, we thoroughly illustrate the process of determining the…

Statistical Mechanics · Physics 2025-05-23 Qian-Xi Zhao , Jian-Jun Dong , Zi-Xiang Hu

Understanding quantum many-body states of correlated electrons is one main theme in modern condensed matter physics. Given that the Fermi-Hubbard model, the prototype of correlated electrons, has been recently realized in ultracold optical…

Strongly Correlated Electrons · Physics 2021-01-27 Bin-Bin Chen , Chuang Chen , Ziyu Chen , Jian Cui , Yueyang Zhai , Andreas Weichselbaum , Jan von Delft , Zi Yang Meng , Wei Li

We study the ferromagnetic Kondo model with classical corespins via unbiased Monte-Carlo simulations and derive a simplified model for the treatment of the corespins at any temperature. Our simplified model captures the main aspects of the…

Strongly Correlated Electrons · Physics 2007-05-23 Winfried Koller , Alexander Pruell , Hans Gerd Evertz , Wolfgang von der Linden

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…

Computational Physics · Physics 2007-05-23 Carlo Pierleoni , David M. Ceperley

Uniform neutron matter is approximated by a cubic box containing a finite number of neutrons, with periodic boundary conditions. We report variational and Green's function Monte Carlo calculations of the ground state of fourteen neutrons in…

Nuclear Theory · Physics 2009-11-10 J. Carlson , J. Morales , V. R. Pandharipande , D. G. Ravenhall

We have performed realistic atomistic simulations at finite temperatures using Monte Carlo and atomistic spin dynamics simulations incorporating quantum (Bose-Einstein) statistics. The description is much improved at low temperatures…

Materials Science · Physics 2018-01-10 Lars Bergqvist , Anders Bergman

We present results of the numerical simulation of the two-dimensional Thirring model at finite density and temperature. The severe sign problem is dealt with by deforming the domain of integration into complex field space. This is the first…

High Energy Physics - Lattice · Physics 2017-01-11 Andrei Alexandru , Gokce Basar , Paulo F. Bedaque , Gregory W. Ridgway , Neill C. Warrington

We present a Monte Carlo study of the finite temperature properties of an extended Hubbard-Peierls model describing one dimensional $\pi$-conjugated polymers. The model incorporates electron-phonon and hyperfine interaction and it is solved…

Mesoscale and Nanoscale Physics · Physics 2010-12-17 S. Bhattacharya , M. S. Ferreira , S. Sanvito

We derive analytically the leading beyond-mean field contributions to the zero-temperature equation of state and to the fermionic quasi-particle residue and effective mass of a dilute Bose-Fermi mixture in two dimensions. In the repulsive…

We introduce a quantum Monte Carlo method at finite temperature for interacting fermionic models in the canonical ensemble, where the conservation of the particle number is enforced. Although general thermodynamic arguments ensure the…

Statistical Mechanics · Physics 2017-10-19 Zhenjiu Wang , Fakher F. Assaad , Francesco Parisen Toldin

Exponential observables, formulated as $\log \langle e^{\hat{X}}\rangle$ where $\hat{X}$ is an extensive quantity, play a critical role in study of quantum many-body systems, examples of which include the free-energy and entanglement…

Strongly Correlated Electrons · Physics 2024-05-28 Xu Zhang , Gaopei Pan , Bin-Bin Chen , Kai Sun , Zi Yang Meng

Ultracold atomic Fermi gases have been a popular topic of research, with attention being paid recently to two-dimensional (2D) gases. In this work, we perform T=0 ab initio diffusion Monte Carlo calculations for a strongly interacting…

Quantum Gases · Physics 2016-02-02 Alexander Galea , Hillary Dawkins , Stefano Gandolfi , Alexandros Gezerlis

The interplay between lattice gauge theories and fermionic matter accounts for fundamental physical phenomena ranging from the deconfinement of quarks in particle physics to quantum spin liquid with fractionalized anyons and emergent gauge…

Strongly Correlated Electrons · Physics 2019-05-06 Xiao Yan Xu , Yang Qi , Long Zhang , Fakher F. Assaad , Cenke Xu , Zi Yang Meng

Warm dense matter (WDM) -- an exotic state of highly compressed matter -- has attracted high interest in recent years in astrophysics and for dense laboratory systems. At the same time, this state is extremely difficult to treat…

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