Sudden quench in a model Hamiltonian with interactions: The time-dependent components ofWigner’s correlation

摘要

Based on the correlated ground-state wave function of an exactly solvable interacting one-dimensional twoelectronnmodel Hamiltonian we address the switch-off of the external confining interaction in order to calculatenthe exact time-evolving wave function from a correlated initial state. The Hartree-Fock approximation fornthe initial state of the model system is considered as well. By taking the differences of kinetic and potentialnenergy terms obtained with these treatments, the time-dependent components ofWigner’s correlation energy arendetermined.