  We study Khovanov homology classes which have state cycle representatives,
and examine how they interact with Jacobsson homomorphisms and Lee's map
$\Phi$. As an application, we describe a general procedure, quasipositive
modification, for constructing H-thick knots in rational Khovanov homology.
Moreover, we show that specific families of such knots cannot be detected by
Khovanov's thickness criteria. We also exhibit a sequence of prime links
related by quasipositive modification whose width is increasing.
