  Open quantum walks (OQWs) are a new type of quantum walks which are entirely
driven by the dissipative interaction with external environments and are
formulated as completely positive trace-preserving maps on graphs. A
generalized quantum optical scheme for implementing OQWs that includes non-zero
temperature of the environment is suggested. In the proposed quantum optical
scheme, a two-level atom plays the role of the "walker", and the Fock states of
the cavity mode correspond to the lattice sites for the "walker". Using the
small unitary rotations approach the effective dynamics of the system is shown
to be an OQW. For the chosen set of parameters, an increase in the temperature
of the environment causes the system to reach the asymptotic distribution much
faster compared to the scheme proposed earlier where the temperature of the
environment is zero. For this case the asymptotic distribution is given by a
steady Gaussian distribution.
