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An approximate treatment of exchange in finite-temperature path integral Monte Carlo simulations for fermions has been proposed. In this method, some of the fine details of density matrix due to permutations have been smoothed over or…

Statistical Mechanics · Physics 2015-05-13 D. Y. Sun

We explore systems with a large number of fermionic degrees of freedom subject to non-local interactions. We study both vector and matrix-like models with quartic interactions. The exact thermal partition function is expressed in terms of…

High Energy Physics - Theory · Physics 2017-04-26 Dionysios Anninos , Guillermo A. Silva

Compared to ground state electronic structure optimizations, accurate simulations of molecular real-time electron dynamics are usually much more difficult to perform. To simulate electron dynamics, the time-dependent density matrix…

Chemical Physics · Physics 2024-11-15 Imam S. Wahyutama , Henrik R. Larsson

We study finite temperature dynamical correlation functions of the magnetization operator in the one-dimensional Ising quantum field theory. Our approach is based on a finite temperature form factor series and on a Fredholm determinant…

Statistical Mechanics · Physics 2024-12-11 István Csépányi , Márton Kormos

We address the calculation of dynamical correlation functions for many fermion systems at zero temperature, using the auxiliary-field quantum Monte Carlo method. The two-dimensional Hubbard hamiltonian is used as a model system. Although…

Strongly Correlated Electrons · Physics 2016-08-24 Ettore Vitali , Hao Shi , Mingpu Qin , Shiwei Zhang

Correlated systems at both zero and nonzero temperature are treated here from a novel angle using a functional method. This functional method is an extension of the usual effective potential method. Here, however the effective action is…

Condensed Matter · Physics 2007-05-23 A. Rebei , W. N. G. Hitchon

We propose a new mathematical tool for the study of transport properties of models for lattice vibrations in crystalline solids. By replication of dynamical degrees of freedom, we aim at a new dynamical system where the "local" dynamics can…

Mathematical Physics · Physics 2015-06-17 Jani Lukkarinen

We study numerically the paramagnetic phase of the spin-1/2 random transverse-field Ising chain, using a mapping to non-interacting fermions. We extend our earlier work, Phys. Rev. 53, 8486 (1996), to finite temperatures and to dynamical…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. P. Young

We consider the one-dimensional delta-interacting electron gas in the case of infinite repulsion. We use determinant representations to study the long time, large distance asymptotics of correlation functions of local fields in the gas…

Condensed Matter · Physics 2009-10-31 F. Göhmann , A. G. Izergin , V. E. Korepin , A. G. Pronko

We have developed and implemented a new quantum molecular dynamics approximation that allows fast and accurate simulations of dense plasmas from cold to hot conditions. The method is based on a carefully designed orbital-free implementation…

Plasma Physics · Physics 2015-06-22 Travis Sjostrom , Jerome Daligault

We combine the recent $\eta-$ensemble path integral Monte Carlo (PIMC) approach to the free energy [T.~Dornheim \textit{et al.}, \textit{Phys.~Rev.~B} \textbf{111}, L041114 (2025)] with a recent fictitious partition function technique based…

We present a hybrid Path Integral Monte Carlo (hPIMC) algorithm to calculate real-time quantum thermal correlation functions and demonstrate its application to open quantum systems. The hPIMC algorithm leverages the successes of classical…

Quantum Physics · Physics 2025-06-12 Elliot C. Eklund , Nandini Ananth

We propose a way to properly interpret the apparent thermal conductivity obtained for finite systems using equilibrium molecular dynamics simulations (EMD) with fixed or open boundary conditions in the transport direction. In such systems…

Statistical Mechanics · Physics 2021-01-27 Haikuan Dong , Shiyun Xiong , Zheyong Fan , Ping Qian , Yanjing Su , Tapio Ala-Nissila

We consider the local field dynamical temperature correlation function of the Quantum Nonlinear Schrodinger equation with the finite coupling constant. This correlation function admits a Fredholm determinant representation. The related…

Mathematical Physics · Physics 2009-10-31 A. R. Its , N. A. Slavnov

Numerical time evolution of transport states using time dependent Density Matrix Renormalization Group (td-DMRG) methods has turned out to be a powerful tool to calculate the linear and finite bias conductance of interacting impurity…

Strongly Correlated Electrons · Physics 2010-04-26 Alexander Branschädel , Guenter Schneider , Peter Schmitteckert

The general correlations between massless fermions are calculated in the Schwinger model at arbitrary temperature. The zero temperature calculations on the plane are reviewed and clarified. Then the finite temperature fermionic Green's…

High Energy Physics - Theory · Physics 2009-10-28 James V. Steele , Ajay Subramanian , Ismail Zahed

The exchange antisymmetry between identical fermions gives rise to the well known fermion sign problem, in the form of large cancellation between positive and negative contribution to the partition function, making any simulation methods…

Quantum Gases · Physics 2022-08-31 Xiong Yunuo , Xiong Hongwei

We calculate the long time and distance asymptotics of the one-particle correlation functions in the model of impenetrable spin 1/2 fermions in 1+1 dimensions. We consider the spin disordered zero temperature regime, which occurs when the…

Strongly Correlated Electrons · Physics 2009-11-10 Vadim V Cheianov , M B Zvonarev

After having developed a method that measures real time evolution of quantum systems at a finite temperature, we present here the simplest field theory where this scheme can be applied to, namely the 1+1 Ising model. We will compute the…

High Energy Physics - Theory · Physics 2016-09-06 E. Mendel

We introduce the transcorrelated Density Matrix Renormalization Group (tcDMRG) theory for the efficient approximation of the energy for strongly correlated systems. tcDMRG encodes the wave function as a product of a fixed Jastrow or…

Strongly Correlated Electrons · Physics 2020-11-13 Alberto Baiardi , Markus Reiher
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