Running-phase state in a Josephson washboard potential

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Abstract
We investigate the dynamics of the phase variable of an ideal underdamped Josephson junction in switching current experiments. These experiments have provided the first evidence for macroscopic quantum tunneling in large Josephson junctions and are currently used for state readout of superconducting qubits. We calculate the shape of the resulting macroscopic wave packet and predict that the propagation of the wave packet long enough after a switching event leads to an average voltage increasing linearly with time.
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