Abstract
The dynamics of a qubit in two different environments are investigated theoretically. The first environment is a two level system coupled to a bosonic bath. And the second one is a damped harmonic oscillator. Based on a unitary transformation, we find that the decoherence of the qubit can be reduced with increasing temperature in the first case, which agree with the results in [Phys. Rev. Lett. 100, 120401], whereas, it can not be reduced with in the second case. In both cases, the qubit dynamics are changed substantially as the coupling increases or finite detuning appears.
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