Decoherence in an exactly solvable qubit model with initial qubit-environment correlations

Details Decoherence in an exactly solvable qubit model with initial qubit-environment correlations Decoherence in an exactly solvable qubit model with initial qubit-environment correlations

2011-06-28

arxiv.org/abs/1106.5654v3

Physics

Quantum Physics

10 pages, 5 figures

Scientific paper

We study a model of dephasing (decoherence) in a two-state quantum system (qubit) coupled to a bath of harmonic oscillators. An exact analytic solution for the reduced dynamics of a two-state system in this model has been obtained previously for factorizing initial states of the combined system. We show that the model admits exact solutions for a large class of correlated initial states which are typical in the theory of quantum measurements. We derive exact expressions for the off-diagonal elements of the qubit density matrix, which hold for an arbitrary strength of coupling between the qubit and the bath. The influence of initial correlations on decoherence is considered for different bath spectral densities. Time behavior of the qubit entropy in the decoherence process is discussed.

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