108 citations · 200 across the 11 of their papers we have counts for
11 papers
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…
New constructive counterexamples to additivity of minimum output Rényi p-entropy of quantum channels
Krzysztof Szczygielski, Michał Studziński
In this paper, we present new families of quantum channels for which corresponding minimum output Rényi -entropy is not additive. Our manuscript is motivated by the results of G…
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…
Note on Wermuth's theorem on commuting operator exponentials
Krzysztof Szczygielski
We apply Wermuth's theorem on commuting operator exponentials to show that if , being Banach space and of -congruence free spectrum, then $e^A B = B e^A…
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…
Markovian theory of dynamical decoupling by periodic control
Krzysztof Szczygielski, Robert Alicki
The recently developed formalism of Markovian master equations for quantum open systems with external periodic driving is applied to the theory of dynamical decoupling by periodic…
Solar cell as self-oscillating heat engine
Robert Alicki, David Gelbwaser-Klimovsky, Krzysztof Szczygielski
Solar cells are engines converting energy supplied by the photon flux into work. All known types of macroscopic engines and turbines are also self-oscillating systems which yield a…
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…
Markovian Master Equation and Thermodynamics of Two-level System in Strong Laser Field
K. Szczygielski, D. Gelbwaser-Klimovsky, R. Alicki
The recently developed technique combining the weak coupling limit with the Floquet formalism is applied to a model of two-level atom driven by a strong laser field and weakly coup…