We present a short account of the recent progress in the study of a no
vel strong-field phenomenon recently uncovered: atoms and molecules ma
y be stabilized by intense laser fields. The laser-induced atomic and
molecular stabilization arises from quite different origins. We presen
t a complex-scaling Fourier-grid Hamiltonian method for the discretiza
tion and solutior of the Schrodinger equation within the non-Hermitian
Floquet Hamiltonian formalism. The method provides a simple, yet accu
rate and highly efficient, new technique for the determination of the
complex quasienergies (E(R), -Gamma/2) Of atoms and molecules. The rea
l parts, E(R), provide the a.c. Stark shifts, and the imaginary parts,
Gamma, give rise to multiphoton ionization rates of atoms or multipho
ton dissociation rates of molecules. The method is applied to the stud
ies of (i) stabilization and ionization suppression of negative ions i
n high-frequency superintense laser fields; (ii) laser-induced molecul
ar stabilization and chemical bond hardening in strong laser fields.