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A squeezed coherent state is obtained from the vacuum by a squeeze operator and a displacement operator. Its quadrature variances can differ while saturating the uncertainty product. With zero displacement it is a squeezed vacuum state.

The squeezed vacuum is the zero-displacement squeezed coherent state $|\gamma ⟩=S(\gamma )|0⟩$. Its position and momentum variances are rescaled in opposite directions,so it remains an minimum-uncertainty state with $\Delta X\Delta P=\hslash /2$.