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The charge states n = 0 and n = 1 correspond to the spin basis states |↓〉and |↑〉.
The charging energy controlled by a gate voltage Vg corresponds to the z-component of a magnetic field in spin notation.
Bz ≡ 4Wc ( 1 − 2ηg )
( 8 )
In the turn, the Josephson energy plays a role of the x-component of a magnetic field.
Bx ≡ Wj
( 9 )
