Mathematics – Probability
Scientific paper
2008-03-20
Mathematics
Probability
20 pages
Scientific paper
10.1088/1751-8113/41/27/275305
We study a XY model which consists of a spin chain coupled to heat baths. We give a repeated quantum interaction Hamiltonian describing this model. We compute the explicit form of the associated Lindblad generator in the case of the spin chain coupled to one, two and several heat baths. We further study the properties of quantum master equation such as approach to equilibrium, local equilibrium states, entropy production and quantum detailed balance condition.
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