An Extra Phase for Two-Mode Coherent States Displaced in Noncommutative Phase Space

Using deformed boson algebra, we study the property of two-mode coherent states in noncommutative phase space. When a two-mode field evolves in the noncommutative phase space, it can acquire an extra θ-dependent phase compared to the case of commutative space. This phase is detectable and may be used to test noncommutativity.