https://doi.org/10.1007/s100530050238
Quasiclassical dynamics of resonantly driven Rydberg states
1
Max-Planck-Institut für Quantenoptik,
Hans-Kopfermann-Str. 1, 85748 Garching, Germany
2
Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet
Jagielloński, ulica Reymonta 4, 30-059 Kraków, Poland
3
Laboratoire Kastler-Brossel,
tour 12, étage 1, 4 place Jussieu, 75252 Paris Cedex 05, France
Received:
23
June
1998
Accepted:
10
November
1998
Published online: 15 February 1999
We present a semiclassical analysis of the dynamics of Rydberg states
of atomic hydrogen driven by a resonant microwave field of linear polarization.
The semiclassical quasienergies of the atom in the field are found to be in
very good agreement with the exact
quantum solutions.
The ionization rates of individual eigenstates of the
atom dressed by the field reflect their quasiclassical dynamics along classical
periodic orbits in the near integrable regime, but exhibit a transition to
nonspecific rates when global chaos takes over in phase space.
We concentrate both on the principal resonance where the unperturbed
Kepler frequency 
is equal to the driving field frequency ω and on the higher primary
resonance 
The latter case allows for the construction of
nondispersive wave packets which propagate along Kepler ellipses of
intermediate eccentricity.
PACS: 05.45.+b – Theory and models of chaotic systems / 32.80.Rm – Multiphoton ionization and excitation to highly excited states (e.g., Rydberg states) / 42.50.Hz – Strong-field excitation of optical transitions in quantum systems; multi-photon processes; dynamic Stark shift
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1999
