47th Vietnam Conference on Theoretical Physics (VCTP-47)
Hội nghị Vật lý lý thuyết Việt Nam lần thứ 47
Tuy Hòa, 1-4 August 2022

Programme

P.11 -- Poster, VCTP-47

Date: Tuesday, 2 August 2022

Time: 08:30 - 10:00

The new entanglement criterion for two-mode systems and application

Ho Sy Chuong (1,2), Phan Ngoc Duy Tinh (1), Truong Minh Duc (1)

(1) Center for Theoretical and Computational Physics, University of Education, Hue University, Hue City, Viet Nam; (2) Dong Nai University, 09 Le Quy Don, Tan Hiep, Bien Hoa City, Dong Nai, Viet Nam

This paper proposes a new entanglement criterion for two-mode systems based on a phase difference operator with Hermite form and a particle difference operator. This new criterion is applied to quantify the entanglement degree of the pair coherent states (PCS) and the photon added and subtracted two-mode pair coherence states (PAASTMPCS). The results show that these states are strongly entangled, and their entanglement degree increases rapidly to the maximum when the coherence amplitude increases up a few units. Besides, adding and subtracting photons make the entanglement degree of PAASTMPCS improve significantly, especially in the region with small coherence amplitude. We also compared the results of applying the new entanglement criterion and the linear Entropy criterion for the states mentioned above and found many similarities between these two criteria. This criterion is created from the phase difference operator and the particle difference operator, so it has great potential to apply to the families of states where the phase parameter plays an important role.

Presenter: Ho Sy Chuong


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