A new method to obtain an operatorial exact solution of a wide class of Markovian master equations is presented. Its key point is the existence of a constant of motion partitioning the Hilbert space into finite-dimensional subspaces. The consequent possibility of representing the reduced density operator as a block diagonal matrix is shown. Each "block operator" evolves under the action of a non-unitary operator explicitly derived. Our mathematical approach is illustrated applying it to simple physical systems.
NAPOLI A, NICOLOSI S, MESSINA A (2005). A new mathematical tool for an exact treatment of open quantum system dynamics. ACTA PHYSICA HUNGARICA. HEAVY ION PHYSICS, 23, 83-90 [10.1556/APH.23.2005.1-2.12].
A new mathematical tool for an exact treatment of open quantum system dynamics
NAPOLI, Anna;MESSINA, Antonino
2005-01-01
Abstract
A new method to obtain an operatorial exact solution of a wide class of Markovian master equations is presented. Its key point is the existence of a constant of motion partitioning the Hilbert space into finite-dimensional subspaces. The consequent possibility of representing the reduced density operator as a block diagonal matrix is shown. Each "block operator" evolves under the action of a non-unitary operator explicitly derived. Our mathematical approach is illustrated applying it to simple physical systems.
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