Quantum entanglement of double excited resonance states in helium atom
Yen-Chang, Lin1*, Yew Kam, Ho1
1Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei, Taiwan
* presenting author:Yen-Chang Lin, email:linyc@pub.iams.sinica.edu.tw
Quantum entanglement is an interesting and important quantum phenomenon. It studies subsystem correlations in a multi-particle system and can be applied in quantum computing, quantum teleportation, and quantum cryptography. Furthermore, entanglement measures can be quantified with von Neumann entropy SvN=-Tr(ρlog2ρ) or linear entropy SL=1-Tr(ρ2), where ρ is the one-particle reduced density matrix. In our earlier publications, we discussed bound states of helium-like atom/ions with various Z values [1, 2], and the helium atom in plasma environments [3]. Here, we expand our method to investigate double excited resonance states. This issue has also been studied in other papers [4, 5]. Calculations of doubly excited resonance states are performed using the complex-scaling, stabilization, and Feshbach projection operator methods. We will compare three kinds of methods and show the energy and entropy results for the 1Se and 3Se states in the helium atom. Detailed results will be presented at the meeting.

This work is supported by the Ministry of Science and Technology in Taiwan.

Keywords: Quantum entanglement, Helium atom, double excited resonance state, complex-scaling method