Metrics for two electron random potential systems

Abstract

Metrics have been used to investigate the relationship between wavefunction distances and density distances for families of specific systems. We extend this research to look at random potentials for time-dependent single electron systems, and for ground-state two electron systems. We find that Fourier series are a good basis for generating random potentials. These random potentials also yield quasi-linear relationships between the distances of ground-state densities and wavefunctions, providing a framework in which Density Functional Theory can be explored.

5 pages, 4 figures

References in corpus (3)

• DFT-inspired methods for quantum thermodynamics
• Metric space approach to potentials and its relevance to density functional theory
• Measuring adiabaticity in non-equilibrium quantum systems

Cited by in corpus (4)

• Metric-space approach for distinguishing quantum phase transitions in spin-imbalanced systems
• Characterizing Adiabaticity in Quantum Many-Body Systems at Finite Temperature
• Insights into one-body density matrices using deep learning
• Tracking Adiabaticity in Non-Equilibrium Many-Body Systems: The Hard Case of the X-ray Photoemission in Metals