Sympathetic Cooling of Mixed Species Two-Ion Crystals for Precision Spectroscopy

摘要: Sympathetic cooling of trapped ions has become an indispensable tool for quantum-information processing and precision spectroscopy. In the simplest situation a single Doppler-cooled ion sympathetically cools another which typically different mass. We analytically investigate effect mass ratio such crystal on achievable temperature limit in presence external heating. As example, we show that Al${}^{+}$ with Be${}^{+}$, Mg${}^{+}$, Ca${}^{+}$ provides similar results heating rates observed traps, whereas larger perform worse. Furthermore, present numerical simulation rethermalization dynamics after background gas collision Al${}^{+}$-Ca${}^{+}$ laser configurations.