Journal of Physics: Conference Series 865
, 012002 (2017)
Energy spectrum inverse problem of q-deformed harmonic oscillator and entanglement of composite bosons
Nguyen Anh Sang, Do Thi Thu Thuy, Nguyen Thi Ha Loan, Nguyen Tri Lan and Nguyen Ai Viet
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.
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 effects: 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 effect outside a confined box.