For a bridgeland stability condition $(P,Z)$ on $\mathcal{C}$ and $a > b$ we know that $Hom^0(A,B)=0$ for $A,B \in P(a), P(b)$ respectively.

I would like to see the geometric incarnation of this under mirror symmetry, in the simplest case of an elliptic curve. Thus from now on we work with a torus\elliptic curve.

Namely, under many simplifications if I understand, we can think of a bridgeland stability condition as a choice of symplectic form $\omega$ on $E$ (compatible with a fixed complex structure $J$).

Now every curve in $E$ is a lagrangian, and it should be semistable (i.e from $P(A)$) sorta when it's a special lagrangian, which I found is correlative to being length minimizing wrt to the natural metric $g$ that $\omega, J$ induce in its homology class.

I am not sure how to geometrically see the slope, nor how to then see that if $a>b$, then the fukaya hom vanishes, and that is my question.