3 papers
cond-mat.str-el2026
Understanding the sign problem from an exact Path Integral Monte Carlo model of interacting harmonic fermions
Siu A. Chin
This work shows that the recently discovered operator contraction identity for solving the discreet Path Integral of the harmonic oscillator can be applied equally to fermions in a…
physics.comp-ph2024
Simple proof that there is no sign problem in Path Integral Monte Carlo simulations of fermions in one dimension
Siu A. Chin
It is widely known that there is no sign problem in Path Integral Monte Carlo (PIMC) simulations of fermions in one dimension. Yet, as far as the author is aware, there is no direc…
quant-ph2024
Analytical evaluations of the Path Integral Monte Carlo thermodynamic and Hamiltonian energies for the harmonic oscillator
Siu A. Chin
By use of the recently derived discrete imaginary-time propagator of the harmonic oscillator, both thermodynamic and Hamiltonian energies can be given analytically, and…