Energy spectrum inverse problem of q-deformed harmonic oscillator and entanglement of composite bosons

41st Vietnam National Conference on Theoretical Physics

Sang, Nguyen Anh^1 ; Thuy, Do Thi Thu^1 ; Loan, Nguyen Thi Ha^1 ; Lan, Nguyen Tri^2 ; Viet, And Nguyen Ai^2

Hanoi Pedagogical University No.2, Nguyen Van Linh Street, Phuc Yen Town, Vinh Phuc, Viet Nam^1

Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Thu Le, Ba Dinh, Ha Noi, Viet Nam^2

关键词: Anharmonic potential;    Deformation energy;    Deformation parameter;    Energy separations;    Entanglement entropy;    Harmonic oscillators;    Special relativity;    Three-level models;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/865/1/012002/pdf
DOI  :  10.1088/1742-6596/865/1/012002

来源: IOP

【 摘 要 】

Using the simple deformed three-level model (D3L model) proposed in our early work, we study the entanglement problem of composite bosons. Consider three first energy levels are known, we can get two energy separations, and can define the level deformation parameter δ. Using connection between q-deformed harmonic oscillator and Morse-like anharmonic potential, the deform parameter q also can be derived explicitly. Like the Einstein's theory of special relativity, we introduce the observer ects: out side observer (looking from outside the studying system) and inside observer (looking inside the studying system). Corresponding to those observers, the outside entanglement entropy and inside entanglement entropy will be defined.. Like the case of Foucault pendulum in the problem of Earth rotation, our deformation energy level investigation might be useful in prediction the environment ect outside a confined box.