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In this paper we present a scheme for ground state cooling of a flexural modeof a nanomechanical beam incorporated in a loop-shaped Cooper-pair box (CPB)circuit. Via the Lorentz force coupling of the beam motion to circulatingCPB-circuit currents, energy is transferred to the CPB qubit which acts as adissipative two-level system. The cooling process is driven by a detunedgate-voltage drive acting on the CPB. We analyze the cooling force spectrum andpresent analytical expressions for the cooling rate and final occupation numberfor a wide parameter regime. In particular, we find that cooling is optimizedin a strong drive regime, and we present the necessary conditions forground-state cooling.

Ground state cooling of a nanomechanical resonator via a Cooper pair box qubit