Linear entropy and squeezing of the interaction between two quantum system described by su (1, 1) and su(2) Lie group in presence of two external terms | Zendy

M. Sebawe Abdalla | Zendy; E. M. Khalil | Zendy; A.S. F. Obada | Zendy; Jan Peřina | Zendy; J. Křepelka | Zendy

Open Access

Linear entropy and squeezing of the interaction between two quantum system described by su (1, 1) and su(2) Lie group in presence of two external terms

Author(s) -

M. Sebawe Abdalla,

E. M. Khalil,

A.S. F. Obada,

Jan Peřina,

J. Křepelka

Publication year - 2017

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4973916

Subject(s) - quantum entanglement , quantum mechanics , physics , lie algebra , quantum system , lie group , special unitary group , hamiltonian (control theory) , entropy (arrow of time) , quantum , mathematics , mathematical physics , pure mathematics , mathematical optimization

A Hamiltonian, that describes the interaction between a two-level atom (su(2) algebra) and a system governed by su(1,1) Lie algebra besides two external interaction, is considered. Two canonical transformations are used, which results into removing the external terms and changing the frequencies of the interacting systems. The solution of the equations of motion of the operators is obtained and used to discuss the atomic inversion, entanglement, squeezing and correlation functions of the present system. Initially the atom is considered to be in the excited state while the other systems is in the Perelomov coherent state. Effects of the variations in the coupling parameters to the external systems are considered. They are found to be sensitive to changing entanglement, variance and entropy squeezing

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