Document Type : Original Article
Authors
1 Faculty of Science, University of Mohaghegh Ardabili. Ardabil, Iran
2 ,Faculty of Science, University of Mohaghegh Ardabili. Ardabil, Iran
3 Faculty of Science, University of Mohaghegh Ardabili. Ardabil, Iran.
Abstract
Advances in quantum information science have created new premises for geometric phase applications and new insights into its physical, mathematical, and conceptual nature. Geometric phases play an essential role in quantum information theory and quantum computing because they are independent of energy and dependent on the inherent geometry of state space. This paper investigates the geometric phase of the qutrit-like entangled coherent state undergoing a unitary evolution. We consider the two-partite unbalanced qutrit-like coherent state and transform it under rotational transformations. Then, we calculate the total, dynamical, and, geometric phases for a cyclic evolution. It has been shown that the total phase is zero under certain conditions, and as a result, the value of the dynamical phase is equal to the geometric phase. We also study the effect of the parameters involved in the problem on the geometric phase and conclude that the geometric phase is highly sensitive to the selection of parameters in the initial coherent state.
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