A theoretical investigation into the microwave spectroscopy of a phosphorus-donor charge-qubit in silicon: Coherent control in the Si:P quantum computer architecture

摘要

We present a theoretical analysis of a microwave spectroscopy experiment on acharge qubit defined by a P$_2^+$ donor pair in silicon, for which we calculateHamiltonian parameters using the effective-mass theory of shallow donors. Wesolve the master equation of the driven system in a dissipative environment topredict experimental outcomes. We describe how to calculate physical parametersof the system from such experimental results, including the dephasing time,$T_2$, and the ratio of the resonant Rabi frequency to the relaxation rate.Finally we calculate probability distributions for experimentally relevantsystem parameters for a particular fabrication regime.