Dynamics and phonon-induced decoherence of Andreev level qubit

Details Dynamics and phonon-induced decoherence of Andreev level qubit Dynamics and phonon-induced decoherence of Andreev level qubit

2004-04-27

arxiv.org/abs/cond-mat/0404656v2

Physics

Condensed Matter

Superconductivity

22 pages, 7 figures

Scientific paper

10.1103/PhysRevB.71.214505

We present detailed theory for Andreev level qubit, the system consisting of a highly transmissive quantum point contact embedded in a superconducting loop. The two-level Hamiltonian for Andreev levels interacting with quantum phase fluctuations is derived by using the path integral method. We also derive kinetic equation describing qubit decoherence due to interaction of the Andreev levels with acoustic phonons. The collision terms are non-linear due to fermionic nature of the Andreev states, leading to slow non-exponential relaxation and dephasing of the qubit at temperature smaller than the qubit level spacing.

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