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Self-learning Monte Carlo method [arXiv:1610.03137, 1611.09364] is a powerful general-purpose numerical method recently introduced to simulate many-body systems. In this work, we implement this method in the framework of determinantal…

Strongly Correlated Electrons · Physics 2018-07-12 Xiao Yan Xu , Yang Qi , Junwei Liu , Liang Fu , Zi Yang Meng

We perform \emph{ab initio} quantum Monte Carlo (QMC) simulations of the warm dense uniform electron gas in the thermodynamic limit. By combining QMC data with linear response theory we are able to remove finite-size errors from the…

A rational expansion of the Fermi density operator is proposed. This approach allows to calculate efficiently physical properties of fermionic systems at finite temperatures without solving an eigenvalue problem. Using N evaluations of the…

Computational Physics · Physics 2009-10-30 F. Gagel

We develop an all-electron path integral Monte Carlo (PIMC) method with free-particle nodes for warm dense matter and apply it to water and carbon plasmas. We thereby extend PIMC studies beyond hydrogen and helium to elements with core…

Materials Science · Physics 2012-03-22 Kevin Driver , Burkhard Militzer

Nonlinear real-time response of interacting particles is studied on the example of a one-dimensional tight-binding model of spinless fermions driven by electric field. Using equations of motion and numerical methods we show that for a…

Strongly Correlated Electrons · Physics 2010-11-05 Marcin Mierzejewski , Peter Prelovsek

We present a systematic study of a mobile impurity immersed in a three-dimensional Fermi sea of fermions at finite temperature, by using the standard non-self-consistent many-body $T$-matrix theory that is equivalent to a finite-temperature…

Quantum Gases · Physics 2022-05-05 Hui Hu , Xia-Ji Liu

Femtoscopic interferometry is a powerful tool for probing the spatio-temporal evolution of emission sources in heavy-ion collisions. A major challenge in the field is formulating a self-consistent description of the source function,…

Nuclear Theory · Physics 2026-03-11 Sheng Xiao , Yijie Wang , Zhigang Xiao

We review a recently proposed approach to the problem of alternating signs for fermionic many body Monte Carlo simulations in finite temperature simulations. We derive an estimate for fermion wandering lengths and introduce the notion of…

High Energy Physics - Lattice · Physics 2009-11-07 Dean Lee

Discrete symmetry breaking and possible restoration at finite temperature $T$ are analysed in 2D Gross-Neveu model by the real-time thermal field theory in the fermion bubble approximation. The dynamical fermion mass $m$ is proven to be…

High Energy Physics - Theory · Physics 2008-11-26 Zhou Bang-Rong

We use quantum Monte Carlo methods in the framework of the interacting nuclear shell model to calculate the statistical properties of nuclei at finite temperature and/or excitation energies. With this approach we can carry out realistic…

Nuclear Theory · Physics 2009-11-11 Y. Alhassid

The uniform electron gas (UEG) at finite temperature is of high current interest due to its key relevance for many applications including dense plasmas and laser excited solids. In particular, density functional theory heavily relies on…

Strongly Correlated Electrons · Physics 2016-01-15 Tobias Dornheim , Tim Schoof , Simon Groth , Alexey Filinov , Michael Bonitz

By means of the Direct Simulation Monte Carlo method, the Boltzmann equation is numerically solved for a gas of hard spheres enclosed between two parallel plates kept at different temperatures and subject to the action of a gravity field…

Statistical Mechanics · Physics 2008-09-15 E. E. Tahiri , M. Tij , A. Santos

Reliable simulations of correlated quantum systems, including high-temperature superconductors and frustrated magnets, are increasingly desired nowadays to further understanding of essential features in such systems. Quantum Monte Carlo…

Strongly Correlated Electrons · Physics 2019-03-28 Zi-Xiang Li , Hong Yao

Thermodynamic properties of the electron-positron plasma (or gas) at high and very high temperatures are investigated. To achieve this goal we have derived a number of analytical formulas for the Fermi-Dirac distribution functions (or…

Plasma Physics · Physics 2023-01-16 Alexei M. Frolov

We apply density functional theory to study the freezing of superfluid {$^{4}\rm{He}$}, charged bosons and charged fermions at zero temperature. We employ accurate Quantum Monte Carlo data for the linear response function in the uniform…

Condensed Matter · Physics 2009-10-28 C. N. Likos , Saverio Moroni , Gaetano Senatore

In this work we introduce a worldline based fermion Monte Carlo algorithm for studying few body quantum mechanics of self-interacting fermions in the Hamiltonian lattice formulation. Our motivation to construct the method comes from our…

Nuclear Theory · Physics 2025-02-28 Shailesh Chandrasekharan , Son T. Nguyen , Thomas R. Richardson

We provide an exact finite temperature extension to the recently developed Riemann-Hilbert approach for the calculation of response functions in nonadiabatically perturbed (multi-channel) Fermi gases. We give a precise definition of the…

Strongly Correlated Electrons · Physics 2007-05-23 Bernd Braunecker

We reinvestigate the interaction of massless fermions with massless bosons at finite temperature. Specifically, we calculate the self-energy of massless fermions due the interaction with massless bosons at high temperature, which is the…

High Energy Physics - Phenomenology · Physics 2015-06-25 H. C. de Godoy Caldas

In this work we analyze how effects of finite size may modify the thermodynamics of a system of strongly interacting fermions that we model using an effective field theory with four-point interactions at finite temperature and density and…

High Energy Physics - Theory · Physics 2015-06-11 Antonino Flachi

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