Dissipative dynamics of superconducting hybrid qubit systems

Details Dissipative dynamics of superconducting hybrid qubit systems Dissipative dynamics of superconducting hybrid qubit systems

2009-04-14

arxiv.org/abs/0904.2153v1

Journal of Physics: Conference Series 167 (2009) 012014

Physics

Condensed Matter

Superconductivity

To appear in J. Phys.: Conf. Series (2009)

Scientific paper

10.1088/1742-6596/167/1/012014

We perform a theoretical study of composite superconducting qubit systems for the case of a coupled qubit configuration based on a hybrid qubit circuit made of both charge and phase qubits, which are coupled via a sigma(x)xsigma(z) interaction. We compute the system's eigen-energies in terms of the qubit transition frequencies and the strength of the inter-qubit coupling, and describe the sensitivity of the energy crossing/anti-crossing features to such coupling. We compute the hybrid system's dissipative dynamics for the cases of i) collective and ii) independent decoherence, whereby the system interacts with one common and two different baths of harmonic oscillators, respectively. The calculations have been performed within the Bloch-Redfield formalism and we report the solutions for the populations and the coherences of the system's reduced density matrix. The dephasing and relaxation rates are explicitly calculated as a function of the heat bath temperature.

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