scholarly journals A complex path around the sign problem

2018 ◽  
Vol 175 ◽  
pp. 01020 ◽  
Author(s):  
Paulo F. Bedaque
Keyword(s):  
Monte Carlo ◽  
Real Time ◽  
Path Integral ◽  
Field Theories ◽  
Monte Carlo Calculations ◽  
Sign Problem ◽  
Low Dimensional ◽  
Theoretical Foundations

We review recent attempts at dealing with the sign problem in Monte Carlo calculations by deforming the region of integration in the path integral from real to complex fields. We discuss the theoretical foundations, the algorithmic issues and present some results for low dimensional field theories in both imaginary and real time.

scholarly journals Monte Carlo simulations of the electron short-range quantum ordering in Coulomb systems and the “fermionic sign problem”.

2021 ◽  
Author(s):  
Vladimir S Filinov ◽  
Pavel Levashov ◽  
Alexander Larkin
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Path Integral ◽  
Short Range ◽  
Coulomb Systems ◽  
Thermodynamic Characteristics ◽  
Distribution Functions ◽  
Path Integral Monte Carlo ◽  
Path Integral Representation ◽  
Sign Problem

Abstract To account for the interference effects of the Coulomb and exchange interactions of electrons the new path integral representation of the density matrix has been developed in the canonical ensemble at finite temperatures. The developed representation allows to reduce the notorious ``fermionic sign problem'' in the path integral Monte Carlo simulations of fermionic systems. The obtained results for pair distribution functions in plasma and uniform electron gas demonstrate the short--range quantum ordering of electrons associated in literature with exchange--correlation excitons. The charge estimations show the excitonic electric neutrality. Comparison of the internal energy with available ones in the literature demonstrates that the short range ordering does not give noticeable contributions in integral thermodynamic characteristics. This fine physical effect was not observed earlier in the standard path integral Monte Carlo simulations.

Path Integral Monte Carlo Calculations of Orientational Ordering in CompressedH2

1993 ◽  
Vol 70 (19) ◽  
pp. 2974-2974 ◽  
Author(s):  
K. J. Runge ◽  
Michael P. Surh ◽  
C. Mailhiot ◽  
E. L. Pollock
Keyword(s):  
Monte Carlo ◽  
Path Integral ◽  
Path Integral Monte Carlo ◽  
Monte Carlo Calculations ◽  
Orientational Ordering

scholarly journals Fermi gases with imaginary mass imbalance and the sign problem in Monte-Carlo calculations

2014 ◽  
Vol 41 (5) ◽  
pp. 055110 ◽  
Author(s):  
Dietrich Roscher ◽  
Jens Braun ◽  
Jiunn-Wei Chen ◽  
Joaquín E Drut
Keyword(s):  
Monte Carlo ◽  
Fermi Gases ◽  
Mass Imbalance ◽  
Monte Carlo Calculations ◽  
Sign Problem
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