A Lindblad model for a spin chain coupled to heat baths
Dhahri, Ameur (2008), A Lindblad model for a spin chain coupled to heat baths, Journal of Physics A: Mathematical and Theoretical, 41, 27, p. Paper 275305. http://dx.doi.org/10.1088/1751-8113/41/27/275305
TypeArticle accepté pour publication ou publié
External document linkhttp://hal.archives-ouvertes.fr/hal-00258869/en/
Journal nameJournal of Physics A: Mathematical and Theoretical
Institute of Physics
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Abstract (EN)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.
Subjects / Keywordslocal states; repeated quantum interactions; master equation; Spin chain; heat bath; approach to equilibrium; entropy production
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