A Lindblad model for a spin chain coupled to heat baths

Ameur Dhahri (1, 2)

1 ICJ - Institut Camille Jordan
2 CEREMADE - CEntre de REcherches en MAthématiques de la DEcision

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.

Mots clés: Spin chain; heat bath; repeated quantum interactions; master equation; approach to equilibrium; local states; entropy production

Domaines: Probabilités [math.PR]; Physique mathématique [math-ph]; Physique mathématique [math-ph]

Ameur Dhahri. A Lindblad model for a spin chain coupled to heat baths. 2007. ⟨hal-00258869⟩