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We model theoretically the time-dependent transport through an asymmetricdouble quantum dot etched in a two-dimensional wire embedded in a FIR photoncavity. For the transient and the intermediate time regimes the currents andthe average photon number are calculated by solving a Markovian master equationin the dressed-states picture, with the Coulomb interaction also being takeninto account. We predict that in the presence of a transverse magnetic fieldthe interdot Rabi oscillations appearing in the intermediate and transientregime coexist with slower non-equilibrium fluctuations in the occupation ofstates for opposite spin orientation. The interdot Rabi oscillation inducescharge oscillations across the system and a phase difference between thetransient source and drain currents. We point out a difference between thesteady-state correlation functions in the Coulomb blocking and thephoton-assisted transport regimes.

Coexisting spin and Rabi-oscillations at intermediate time in electron transport through a photon cavity