The time-dependent Schr\"odinger equation for a two-dimensional electron gas in a strong magnetic field and an intense terahertz laser field is solved by constructing unitary transformations. We calculate the charge-density fluctuation under a weak probing potential. It is found that the induced charge density oscillates rapidly in time with two characteristic frequencies, the cyclotron frequency and the laser frequency.
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Fujita et al. (2003) studied this question.
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