108 citations · 200 across the 11 of their papers we have counts for
6 papers · 1 filter
D-divisible quantum evolution families
Krzysztof Szczygielski
We propose and explore a notion of decomposably divisible (D-divisible) differentiable quantum evolution families on matrix algebras. This is achieved by replacing the complete pos…
On the Lyapunov-Perron reducible Markovian Master Equation
Krzysztof Szczygielski
We consider an open quantum system in governed by quasiperiodic Hamiltonian with rationally independent frequencies and under assumption of Lyapunov-Perron redu…
Markovian dynamics under weak periodic coupling
Krzysztof Szczygielski
We examine a completely positive and trace preserving evolution of finite dimensional open quantum system, coupled to large environment via periodically modulated interaction Hamil…
On the Floquet analysis of commutative periodic Lindbladians in finite dimension
Krzysztof Szczygielski
We consider the Markovian Master Equation over matrix algebra , governed by periodic Lindbladian in standard (Kossakowski-Lindblad-Gorini-Sudarshan) form. It is…
On Howland time-independent formulation of CP-divisible quantum evolutions
Krzysztof Szczygielski, Robert Alicki
We extend Howland time-independent formalism to the case of completely positive and trace preserving dynamics of finite dimensional open quantum systems governed by periodic, time…
On the application of Floquet theorem in development of time-dependent Lindbladians
Krzysztof Szczygielski
In this paper, the mathematical framework providing a description of completely positive and trace preserving dynamics of open quantum systems is addressed. Special case of time-de…