MARK OVIAN PROPERTIES OF THE PAULI-FIERZ MODEL
Ameur Dhahri · Civil War Book Review · 2009
Abstract. The Hamiltonian approach of the Pauli-Fierz model is studied by Derezinski and Jaksic (cf. [7]). In this paper, we give the Markovian description of this model. Using the weak coupling limit, we derive the quan-tum Markovian semigroup of the Pauli-Fierz system from its Hamiltonian description. Also, we give the explicit form of the associated Lindblad gener-ator. As a consequence, we study the properties of the associated quantum master equation: Quantum detailed balance condition and return to equilib-rium. Finally, we give the associated quantum Langevin equation which can be obtained by a repeated quantum interaction Hamiltonian. 1.