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Quantum dynamics of a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi></mml:mrow></mml:math> kink in Josephson junction parallel arrays with large kinetic inductance

Quantum dynamics of a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>4</mml:mn><mml:mi>π</mml:mi></mml:mrow></mml:math> kink in Josephson junction parallel arrays with large kinetic inductance

We present a theoretical study of the quantum dynamics of two magnetic fluxons trapped in Josephson junction parallel arrays (JJPAs) with large kinetic inductances. The Josephson phase distribution of two trapped magnetic fluxons satisfies a topological constraint, i.e., the total variation of Josephson phases along a JJPA is $4\ensuremath{\pi}$. In …