Showing papers on "Amplitude damping channel published in 1984"
TL;DR: In this paper, it is shown that if a quantum system has a classically chaotic analog, the overlap tends to a very small value, with small fluctuations, while if the classical analog is regular, it remains appreciable and its fluctuations are much larger.
Abstract: The evolution of a quantum state is altered when a small perturbation is added to the Hamiltonian. As time progresses, the overlap of the perturbed and unperturbed states gives an indication of the stability of quantum motion. It is shown that if a quantum system has a classically chaotic analog, this overlap tends to a very small value, with small fluctuations. On the other hand, if the classical analog is regular, the overlap remains appreciable (on a time average) and its fluctuations are much larger.
544 citations
01 Jan 1984
TL;DR: In this article, a model of irreversible deterministic quantum dynamics is proposed for quantum dynamical semigroups and a hierarchy of mixing properties for non-commutative K-systems.
Abstract: Some trends and problems in quantum probability.- Scattering theory for quantum dynamical semigroups.- Quantum stochastic processes.- On dynamical semigroups and compact group actions.- Irreversibility and chaos in quantum systems.- Noncommutative integration and conditioning.- Stochastic representation of thermal functionals.- Statistical independence of local algebras.- On the problem of non configurational observables in stochastic mechanics.- Markovian limits of multi time correlation functions for open quantum systems.- On stationary markov dilations of quantum dynamical semigroups (some remarks inspired by the workshop).- A model of irreversible deterministic quantum dynamics.- Probability and quantum mechanics the conceptual foundations of stochastic mechanics.- Kolmogorovian statistical invariants for the aspect-rapisarda experiment.- Covariant measurements and imprimitivity systems.- Construction of quantum diffusions.- The analytic continuation of a osterwalder-schrader positive representation of the euclidean group to a representation of the poincare group.- Appendix: A connection between quantum systems and stochastic processes.- Extensions of gleason theorem.- Examples of markov dilations over the 2x2 matrices.- Hamiltonian models of classical and quantum stochastic processes.- Quantum entropy and irreversibility.- Quantum ergodic theorems.- The quantum measurement process and the observation of continuous trajectories.- Generalized transition probabilities and applications.- Some remarks on quantum logics and ordered vector spaces.- A hierarchy of mixing properties for non-commutative K-systems.- Type and normality properties of some infrared representations.- Quantum theory of continuous measurements.- On the implementability of certain positive maps.- Energy versus entropy balance arguments in classical lattice systems.- Ito solution of the linear quantum stochastic differential equation describing light emission and absorption.
69 citations
TL;DR: In this article, it was shown that under the synchronizing effect of the rf-field, the array behaves as a superposition of coherent quantum oscillators connected in series.
Abstract: The observation of quantum interference transitions in the dynamic resistance of a large two-dimensional array of proximity-effect junctions driven by superposed dc- and rf-currents is reported. It is shown that, under the synchronizing effect of the rf-field, the array behaves as a superposition of coherent quantum oscillators connected in series.
5 citations
TL;DR: In this article, a model for quantum dynamics is presented in terms of a generalization of Markov chains, and the existence of an arbitrary quantum chain is proved using path chains.
Abstract: A model for quantum dynamics is presented in terms of a generalization of Markov chains. We first consider measurements and events on an amplitude space. Markov amplitude chains on an amplitude space are then studied. Quantum chains are defined and characterized by a Markov and weak stationarity property. We then consider random phase transformations and study the changes that result in an amplitude space and in the quantum chains due to such transformations. A perturbation expansion involving a potential perturbing the ‘‘free’’ motion is proved. Quantum processes are defined and their relation to quantum chains is discussed. The existence of an arbitrary quantum chain is proved using path chains.
3 citations