Effective Heisenberg equations for quadratic Hamiltonians
A. E. Teretenkov
Abstract
In this paper, 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.
Topics & Concepts
PhysicsQuadratic equationMathematical physicsQuantum mechanicsTheoretical physicsMathematicsGeometryQuantum chaos and dynamical systemsQuantum Mechanics and Non-Hermitian PhysicsQuantum Mechanics and Applications