
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Given an ellipse $\frac {x^{2}}{a^{2}}+ \frac {y^{2}}{b^{2}}=1$ $(a>b>0)$ with eccentricity $e= \frac { \sqrt {3}}{2}$, the area of the rhombus formed by connecting the four vertices of the ellipse is 4.
(1) Find the equation of the ellipse;
(2) Let the line $l$ intersect the ellipse at two distinct points $A$ and $B$, given that the coordinate of point $A$ is $(-a, 0)$, and point $Q(0, y_0)$ is on the perpendicular bisector of segment $AB$, also given that $\overrightarrow {QA} \cdot \overrightarrow {QB}=4$, find the value of $y_0$.

Present the answer in LaTex format: \boxed{Your answer}
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