Experimental simulation of quantum graphs by microwave networks (2004)
Hul, Oleh, Bauch, Szymon, Pakonski, Prot, Savytskyy, Nazar, Zyczkowski, Karol, Sirko, Leszek
We present the results of experimental and theoretical study of irregular, tetrahedral microwave networks consisting of coaxial cables (annular waveguides) connected by T-joints. The spectra of the...
Quantum dynamical entropy and decoherence rate (2003)
Alicki, Robert, Lozinski, Artur, Pakonski, Prot, Zyczkowski, Karol
We investigate quantum dynamical systems defined on a finite dimensional Hilbert space and subjected to an interaction with an environment. The rate of decoherence of initially pure states, measured...
Irreversible Quantum Baker Map (2002)
Lozinski, Artur, Pakonski, Prot, Zyczkowski, Karol
We propose a generalization of the model of classical baker map on the torus, in which the images of two parts of the phase space do overlap. This transformation is irreversible and cannot be...
Families of line-graphs and their quantization (2001)
Pakonski, Prot, Tanner, Gregor, Zyczkowski, Karol
Any directed graph G with N vertices and J edges has an associated line-graph L(G) where the J edges form the vertices of L(G). We show that the non-zero eigenvalues of the adjacency matrices are the...
Kepler Map for H atom driven by microwaves with arbitrary polarization (2000)
Pakonski, Prot, Zakrzewski, Jakub
Dynamics of hydrogen atom driven by microwave field of arbitrary polarization is approximated by the discrete mapping. The map describes the change of dynamical variables from an aphelion or a...
Classical 1D maps, quantum graphs and ensembles of unitary matrices (2000)
Pakonski, Prot, Zyczkowski, Karol, Kus, Marek
We study a certain class of classical one dimensional piecewise linear maps. For these systems we introduce an infinite family of Markov partitions into equal cells. The symbolic dynamics generated...
Different Traces of Quantum Systems Having the Same Classical Limit (1999)
Many quantum systems may have the same classical limit. We argue that in the classical limit their traces do not necessarily converge one to another. The trace formula allows to express quantum...
Dynamical entropy for systems with stochastic perturbation (1999)
Ostruszka, Andrzej, Pakonski, Prot, Slomczynski, Wojciech, Zyczkowski, Karol
Dynamics of deterministic systems perturbed by random additive noise is characterized quantitatively. Since for such systems the KS-entropy diverges we analyse the difference between the total...
Quantum baker map on the sphere (1998)
Pakonski, Prot, Ostruszka, Andrzej, Zyczkowski, Karol
We define a class of dynamical systems on the sphere analogous to the baker map on the torus. The classical maps are characterized by dynamical entropy equal to ln 2. We construct and investigate a...