TY - JOUR
T1 - Two-photon ladder climbing and transition to autoresonance in a chirped oscillator
AU - Barth, I.
AU - Friedland, L.
PY - 2013/5/31
Y1 - 2013/5/31
N2 - The two-photon ladder climbing (successive two-photon Landau-Zener-type transitions) in a chirped quantum nonlinear oscillator and its classical limit (subharmonic autoresonance) are discussed. An isomorphism between the chirped one- and two-photon resonances in the system is used in calculating the threshold for the phase-locking transition in both the classical and quantum limits. The theory is tested by solving the Schrödinger equation in the energy basis and illustrated via the Wigner function in phase space.
AB - The two-photon ladder climbing (successive two-photon Landau-Zener-type transitions) in a chirped quantum nonlinear oscillator and its classical limit (subharmonic autoresonance) are discussed. An isomorphism between the chirped one- and two-photon resonances in the system is used in calculating the threshold for the phase-locking transition in both the classical and quantum limits. The theory is tested by solving the Schrödinger equation in the energy basis and illustrated via the Wigner function in phase space.
UR - http://www.scopus.com/inward/record.url?scp=84878478941&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.87.053420
DO - 10.1103/PhysRevA.87.053420
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AN - SCOPUS:84878478941
SN - 1050-2947
VL - 87
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 053420
ER -