Kraus representation of quantum evolution and fidelity as manifestations of Markovian and non-Markovian forms

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.042107· OSTI ID:21450708

Rajagopal, A K; Rendell, R W ^[1]; Usha Devi, A R ^[1]

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1. Inspire Institute Inc., Alexandria, Virginia 22303 (United States)

It is shown that the fidelity of the dynamically evolved system with its earlier time-density matrix provides a signature of non-Markovian dynamics. Also, the fidelity associated with the initial state and the dynamically evolved state is shown to be larger in the non-Markovian evolution compared to that in the corresponding Markovian case. Starting from the Kraus representation of quantum evolution, the Markovian and non-Markovian features are discerned in its short-time structure. These two features are in concordance with each other and they are illustrated with the help of four models of interaction of the system with its environment.

• OSTI ID: 21450708
• Journal Information: Physical Review. A, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevA.82.042107; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DENSITY MATRIX
ENERGY LEVELS
EVOLUTION
MARKOV PROCESS
QUANTUM MECHANICS
QUANTUM STATES
MATRICES
MECHANICS
STOCHASTIC PROCESSES