6533b872fe1ef96bd12d444e
RESEARCH PRODUCT
A new mathematical tool for an exact treatment of open quantum system dynamics
S. NicolosiAnna NapoliAntonino Messinasubject
Constant of motionOperator (physics)Hilbert spaceBlock matrixCondensed Matter Physicssymbols.namesakeOpen quantum systemMultiplication operatorQuantum mechanicsequationsMaster equationsymbolsApplied mathematicsUnitary operatormathematical toolMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-04-01 |