We study the entropy dynamics of a dephasing model, where a two-level system(TLS) is coupled with a squeezed thermal bath via non-demolition interaction.This model is exactly solvable, and the time dependent states of both the TLSand its bath can be obtained exactly. Based on these states, we calculate theentropy dynamics of both the TLS and the bath, and find that the dephasing rateof the system relies on the squeezing phase of the bath. In zero temperatureand high temperature limits, we prove that both the system and bath entropyincreases monotonically. Moreover, we find that the dephasing rate of thesystem relies on the squeezing phase of the bath, and this phase dependencecannot be precisely derived from the Born-Markovian approximation which iswidely adopted in open quantum systems.
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