|
Abstract
|
A thorough understanding of entropy production, which can be used as a natural quantifier
of the degree of irreversibility of a process, is both fundamentally relevant and technologically
desirable. Recently, Esposito et al. (J. Phys. 12, 013013 2010), have derived an
exact expression for the entropy production in terms of correlations between a system and
its reservoir. However, evaluation of the mentioned correlations is virtually impossible to
access in real world situations. Here, it is demonstrated that how we can overcome this problem
by considering an auxiliary system and using the monogamy relations. To this aim, we
consider a system A that is initially correlated with an auxiliary system B, which in turn
interacts with the environment E. In the presence of the auxiliary system B, the amount of
created classical and quantum correlations between the system A and the environment can
be obtained by using existed monogamy properties and consequently the associated entropy
production is determined. In addition, another situation is investigated in this work where
only the system A is interacting with the environment E and the auxiliary system B evolves
free of any direct interaction. As an example, this scenario is illustrated by considering
the systems A and B as two-level systems undergoing an amplitude damping process and
generalized amplitude damping proces
|