Conduction electrons and the decoherence of solid state qubits

Details Conduction electrons and the decoherence of solid state qubits Conduction electrons and the decoherence of solid state qubits

2005-02-26

arxiv.org/abs/cond-mat/0502629v3

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 4 figures typos corrected, changes to discussion

Scientific paper

We study the dynamics of impurity bound electrons interacting with a bath of conduction band electrons in a semiconductor. Only the exchange interaction is considered. We derive master equations for the density matrices of single and two qubit systems under the usual Born and Markov approximations. The bath mediated RKKY interaction in the two qubit case arises naturally. It leads to an energy shift significant only when the ratio ($R_{T}$) of the inter-qubit distance to the thermal deBroglie wavelength of the bath electrons is small. This bath mediated interaction also has a profound impact on the decoherence times; the effect decreases monotonically with $R_{T}$.

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