Dissipative flow equations

Lorenzo Rosso (1) , Fernando Iemini , Marco Schiro (2) , Leonardo Mazza (1)

1 LPTMS - Laboratoire de Physique Théorique et Modèles Statistiques
2 JEIPCdF - Jeunes Équipes de l'Institut de Physique du Collège de France

We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We introduce and discuss three different generators of the flow that transform a linear non-Hermitian operator into a diagonal one. We first test our dissipative flow equations on a generic matrix and on a physical problem with a drivendissipative single fermionic mode. We then move to problems with many fermionic modes and discuss the interplay between coherent (disordered) dynamics and localized losses. Our method can also be applied to non-Hermitian Hamiltonians.

Domaines: Physique [physics]

Lorenzo Rosso, Fernando Iemini, Marco Schiro, Leonardo Mazza. Dissipative flow equations. SciPost Physics, 2020, 9, ⟨10.21468/scipostphys.9.6.091⟩. ⟨hal-03425652⟩