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We consider a system of two semifluxons of opposite polarity in a 0-pi-0 longJosephson junction, which classically can be in one of two degenerate states:up-down or down-up. When the distance $a$ between the 0-pi boundaries(semifluxon's centers) is a bit larger than the crossover distance $a_c$, thesystem can switch from one state to the other due to thermal fluctuations orquantum tunneling. We map this problem to the dynamics of a single particle ina double well potential and estimate parameters for which quantum effectsemerge. We also determine the classical-to-quantum crossover temperature aswell as the tunneling rate (energy level splitting) between the states up-downand down-up.Comment: submitted to PRB, comments/questions are welcom

physical review. b, condensed matter and materials physics

Quantum tunneling of semifluxons in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>0</mml:mn><mml:mtext>−</mml:mtext><mml:mi>π</mml:mi><mml:mtext>−</mml:mtext><mml:mn>0</mml:mn></mml:mrow></mml:math>long Josephson junction

Quantum tunneling of semifluxons in a0−π−0long Josephson junction