Abstract

In this paper, the cyclotron motion of a charged harmonic oscillator in contact with a dissipative heat bath is considered. Exact results for the ac conductivity are presented for three popular models: Ohmic, Drude and blackbody radiation heat bath models. Significant differences compared to the no memory results are observed in the real and imaginary parts of the ac conductivity tensor due to the presence of non-Markovian (memory) terms and magnetic field. It is seen that the resonant behavior is solely modified by the magnetic field. Interesting interplay between dissipation and magnetic field in changing the line shape of absorption (real part of ac conductivity) and emission (imaginary part of ac conductivity) lines is demonstrated in this work.

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