Dynamics of the quantum Duffing oscillator in the driving induced bistable regime

摘要

We investigate the nonlinear response of an anharmonic monostable quantummechanical resonator to strong external periodic driving. The driving therebyinduces an effective bistability in which resonant tunneling can be identified.Within the framework of a Floquet analysis, an effective Floquet-Born-Markovianmaster equation with time-independent coefficients can be established which canbe solved straightforwardly. Various effects including resonant tunneling andmulti-photon transitions will be described. Our model finds applications innano-electromechanical devices such as vibrating suspended nano-wires as wellas in non-destructive read-out procedures for superconducting quantum bitsinvolving the nonlinear response of the read-out SQUID.