Entropy, fidelity, and double orthogonality for resonance states in two-electron quantum dots

FEDERICO M. PONT; OMAR OSENDA; JULIO H. TOLOZA; PABLO SERRA

PHYSICAL REVIEW A - ATOMIC, MOLECULAR AND OPTICAL PHYSICS

American Physical Society

Lugar: College Park, Maryland; Año: 2010 vol. 81 p. 1 - 9

1050-2947

Resonance states of a two-electron quantum dots are studied using a variational expansion with both real basis-set functions and complex scaling methods. The two-electron entanglement (linear entropy) is calculated as a function of the electron repulsion at both sides of the critical value, where the ground (bound) state becomes a resonance (unbound) state. The linear entropy and fidelity and double orthogonality functions are compared as methods for the determination of the real part of the energy of a resonance. The complex linear entropy of a resonance state is introduced using complex scaling formalism.