3 papers
cond-mat.stat-mech2024
Harmonic Oscillator Staging Coordinates for Efficient Path Integral Simulations of Quantum Oscillators and Crystals
Sabry G. Moustafa, Andrew J. Schultz
Imaginary-time path integral (PI) is a rigorous tool to compute static properties at finite temperatures. However, the stiff PI internal modes poses a sampling challenge. This is c…
cond-mat.stat-mech2024
Generalized Path Integral Energy and Heat Capacity Estimators of Quantum Oscillators and Crystals using Harmonic Mapping
Sabry G. Moustafa, Andrew J. Schultz
Imaginary-time path integral (PI) is a rigorous tool to treat nuclear quantum effects in static properties. However, with its high computational demand, it is crucial to devise pre…
cond-mat.stat-mech2024
Accurate and Fast Estimation of the Continuum Limit in Path Integral Simulations of Quantum Oscillators and Crystals
Sabry G Moustafa
Convergence of path integral simulations requires a substantial number of beads when quantum effects are significant. Traditional Trotter scaling approaches estimate the continuum…