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Stability of quantum motion and correlation decay
Tomaz Prosen, Marko Znidaric
We derive a simple and general relation between the fidelity of quantum motion, characterizing the stability of quantum dynamics with respect to arbitrary static perturbation of th…
in Kicked Harper Model: Reassurances and Surprises
Indubala I Satija, Tomaz Prosen
We investigate classical-quantum correspondence for kicked Harper model for extremely small values of the Planck constant . In the asymmetric case a pure quantum state shows…
Can quantum chaos enhance stability of quantum computation?
Tomaz Prosen, Marko Znidaric
We consider stability of a general quantum algorithm with respect to a fixed but unknown residual interaction between qubits, and show a surprising fact, namely that the average fi…
On general relation between quantum ergodicity and fidelity of quantum dynamics
Tomaz Prosen
General relation is derived which expresses the fidelity of quantum dynamics, measuring the stability of time evolution to small static variation in the hamiltonian, in terms of er…
Anomalous diffusion and dynamical localization in a parabolic map
Tomaz Prosen, Marko Znidaric
We study numerically classical and quantum dynamics of a piecewise parabolic area preserving map on a cylinder which emerges from the bounce map of elongated triangular billiards.…
Dimer Decimation and Intricately Nested Localized-Ballistic Phases of Kicked Harper
Tomaž Prosen, Indubala I Satija, Nausheen R. Shah
Dimer decimation scheme is introduced in order to study the kicked quantum systems exhibiting localization transition. The tight-binding representation of the model is mapped to a…