Effective potential analytic continuation approach for real time quantum correlation functions involving nonlinear operators

Abstract

We apply the effective potential analytic continuation (EPAC) method to the calculation of real time quantum correlation functions involving operators nonlinear in the position operator $\hat{q}$. For a harmonic system the EPAC method provides the exact correlation function at all temperature ranges, while the other quantum dynamics methods, the centroid molecular dynamics and the ring polymer molecular dynamics, become worse at lower temperature. For an asymmetric anharmonic system, the EPAC correlation function is in very good agreement with the exact one at $t=0$. When the time increases from zero, the EPAC method gives good coincidence with the exact result at lower temperature. Finally, we propose a simplified version of the EPAC method to reduce the computational cost required for the calculation of the standard effective potential.

REVTeX4, 18 pages, 9 eps figures

References in corpus (4)

• A Fully Self-Consistent Treatment of Collective Fluctuations in Quantum Liquids
• Quantum dynamical correlations: Effective potential analytic continuation approach
• Non-Perturbative Renormalization Group Analysis in Quantum Mechanics
• Effective potential analytic continuation calculations of real time quantum correlation functions: Asymmetric systems

Cited by in corpus (4)

• How to remove the spurious resonances from ring polymer molecular dynamics
• Critical role of quantum dynamical effects in the Raman spectroscopy of liquid water
• Thermal quantum time-correlation functions from classical-like dynamics
• How to obtain thermostatted ring polymer molecular dynamics from exact quantum dynamics and when to use it