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Half-integer Shapiro-steps in superconducting qubit with a $$pi$$-Josephson junction

Mori, Michiyasu ; Maekawa, Sadamichi

A superconducting quantum interference device (SQUID) comprising 0- and $$pi$$-Josephson junctions (JJs), called $$pi$$-SQUID, is studied by the resistively shunted junction model. The $$pi$$-SQUID shows half-integer Shapiro-steps (SS) under microwave irradiation at the voltage $$V$$ = $$(hbar/2e)Omega (n/2)$$, with angular frequency $$Omega$$ and half-integer $$n$$/2 in addition to integer $$n$$. We show that the $$pi$$-SQUID can be a $$pi$$-qubit with spontaneous loop currents by which the half-integer SS are induced. Making the 0- and $$pi$$-JJs equivalent is a key for the half-integer SS and realizing the $$pi$$-qubit.

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Category:Physics, Applied

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