  The crossover from hadronic to quark matter is understood to be both a
deconfinement as well as a chiral symmetry restoring transition. Here, we study
observables related to both aspects using lattice simulations: the Polyakov
loop and its derivatives and the chiral condensate and its derivatives. At zero
baryochemical potential, and infinite volume, the chiral and deconfinement
crossover temperatures almost agree. However, chiral and deconfinement related
observables have a qualitatively different chemical potential and volume
dependence. In general, deconfinement related observables have a milder volume
dependence. Furthermore, while the deconfinement transition appears to get
broader with increasing $\mu_B$, the width as well as the strength of the
chiral transition is approximately constant. Our results are based on
simulations at zero and imaginary chemical potentials using 4stout-improved
staggered fermions with $N_\tau=12$ time-slices and physical quark masses.
