Josephson phase

Josephson energy

Assume that at time ${\displaystyle t_{1}}$, the Josephson phase is ${\displaystyle \varphi _{1}}$; At a later time ${\displaystyle t_{2}}$, the Josephson phase evolved to ${\displaystyle \varphi _{2}}$. The energy increase in the junction is equal to the work done on the junction: