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Open Quantum Systems Decoherence

Bath dynamics in an exactly solvable qubit model with initial qubit-environment correlations

arXiv
Authors: V. V. Ignatyuk, V. G. Morozov

Year

2013

Paper ID

32529

Status

Preprint

Abstract Read

~2 min

Abstract Words

114

Citations

N/A

Abstract

We study the bath dynamics in the dephasing model of a two-state quantum system (qubit) coupled to an environment of harmonic oscillators. This model was shown [Morozov et al., Phys. Rev. A, 2012, 85, 022101] to admit the analytic solution for the qubit and environment dynamics. Using this solution, we derive the exact expression for the bath reduced density matrix in the presence of initial qubit-environment correlations. We obtain the non-equilibrium phonon distribution function and discuss in detail the time behavior of the bath energy. It is shown that only the inclusion of dynamic correlations between the qubit and the bath ensures the proper time behavior of the quantity which may be interpreted as the "environment energy".

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  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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  • We study the bath dynamics in the dephasing model of a two-state quantum system (qubit) coupled to an environment of harmonic oscillators.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1310.1236 [2] arXiv https://arxiv.org/abs/1310.1236 [3] Publisher https://arxiv.org/abs/1310.1236

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