Effective Heisenberg equations for quadratic Hamiltonians

Abstract

We discuss effective quantum dynamics obtained by averaging projector with respect to free dynamics. For unitary dynamics generated by quadratic fermionic Hamiltonians we obtain effective Heisenberg dynamics. By perturbative expansions we obtain the correspondent effective time-local Heisenberg equations. We also discuss a similar problem for bosonic case.

References in corpus (1)

• Non-Markovian generalization of the Lindblad theory of open quantum systems

Cited by in corpus (3)

• Time-convolutionless master equations for composite open quantum systems
• On time-dependent projectors and on generalization of thermodynamical approach to open quantum systems
• Superoperator master equations for depolarizing dynamics