title: Sharp tunneling peaks in a parametric oscillator: quantum resonances missing in the rotating wave approximation.
abstract: We describe a new mechanism of tunneling between period-two vibrational states of a weakly nonlinear, parametrically modulated oscillator. The tunneling results from resonant transitions induced by the fast oscillating terms conventionally disregarded in the rotating wave approximation (RWA). The tunneling amplitude displays resonant peaks as a function of the modulation frequency; near the maxima it is exponentially larger than the RWA tunneling amplitude.
authors.affiliation: Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.
authors.forename: V
authors.initials: V
authors.lastname: Peano
authors.forename: M
authors.initials: M
authors.lastname: Marthaler
authors.forename: M I
authors.initials: MI
authors.lastname: Dykman