Abstract
When subject to an external time-periodic perturbation of frequencyf,a Josephson-coupled two-state Bose–Einstein condensate mayrespond with a constant chemical potential difference Δμ = khf, whereh is Planck’sconstant and kis an integer. We propose an experimental procedure to produce ac-driven atomicJosephson devices that can be used to define a standard of chemical potential. Weinvestigate how to circumvent some of the specific problems derived from thepresent lack of advanced atom circuit technology. We include the effect ofdissipation due to quasiparticles, which is essential to help the system relaxtowards the exact Shapiro resonance, and set limits to the range of values whichthe various physical quantities must have in order to favour the achievement of astable and accurate chemical potential difference between the macroscopiccondensates.
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