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

Abstract

Resonance states of a two-electron quantum dot 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.

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Cited by in corpus (16)

• Controlled energy-selected electron capture and release in double quantum dots
• Quantum state transfer in a XX chain with impurities
• Impurity Effects in Two-Electron Coupled Quantum Dots: Entanglement Modulation
• Magnetic alteration of entanglement in two-electron quantum dots
• Near-threshold properties of the electronic density of layered quantum-dots
• Fidelity susceptibility and geometric phase in critical phenomenon
• Long- and short-range interaction footprints in entanglement entropies of two-particle Wigner molecules in 2D quantum traps
• Detecting dimensional crossover and finite Hilbert space through entanglement entropies
• Bipartite correlations in quantum resonance states
• Resonance states in a cylindrical quantum dot with an external magnetic field
• Spatial entanglement of fermions in one-dimensional quantum dots
• The scaling of the density of states in systems with resonance states
• Study of the transition from resonance to bound states in quantum dots embedded on a nanowire using the $\mathbf{k}\cdot \mathbf{p}$ method
• Real stabilization of resonance states employing two parameters: basis set size and coordinate scaling
• Energy and lifetime of resonant states with real basis sets
• Entanglement properties of bound and resonant few-body states