Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics

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This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics.

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13 p.

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Budini, Adrián A. & Grigolini, Paolo August 4, 2009.

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This article discusses non-Markovian nonstationary completely positive open-quantum-system dynamics.

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13 p.

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Copyright 2009 American Physical Society. The following article appeared in Physical Review A, 80:2; http://pra.aps.org/abstract/PRA/v80/i2/e022103

Abstract: By modeling the interaction of a system with an environment through a renewal approach, we demonstrate that completely positive non-Markovian dynamics may develop some unexplored nonstandard statistical properties. The renewal approach is defined by a set of disruptive events, consisting in the action of a completely positive superoperator over the system density matrix. The random time intervals between events are described by an arbitrary waiting-time distribution. We show that, in contrast to the Markovian case, if one performs a system preparation (measurement) at an arbitrary time, the subsequent evolution of the density-matrix evolution is modified. The nonstationary character refers to the absence of an asymptotic master equation even when the preparation is performed at arbitrary long times. In spite of this property, we demonstrate that operator expectation values and operators correlations have the same dynamical structure, establishing the validity of a nonstationary quantum regression hypothesis. The nonstationary property of the dynamics is also analyzed through the response of the system to an external weak perturbation.

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  • Physical Review A, 2009, College Park: American Physical Society

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  • Publication Title: Physical Review A
  • Volume: 80
  • Issue: 2
  • Pages: 13
  • Peer Reviewed: Yes

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  • August 4, 2009

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  • Sept. 9, 2011, 2:01 p.m.

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  • April 2, 2014, 4:21 p.m.

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Budini, Adrián A. & Grigolini, Paolo. Non-Markovian Nonstationary Completely Positive Open-Quantum-System Dynamics, article, August 4, 2009; [College Park, Maryland]. (digital.library.unt.edu/ark:/67531/metadc40393/: accessed June 27, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT College of Arts and Sciences.