Reentrance effect in macroscopic quantum tunneling and non-adiabatic Josephson dynamics in d-wave junctions

Abstract

We develop a theoretical description of non-adiabatic Josephson dynamics in superconducting junctions containing low energy quasiparticles. Within this approach we investigate the effects of midgap states in junctions of unconventional d-wave superconductors. We identify a reentrance effect in the transition between thermal activation and macroscopic quantum tunneling, and connect this phenomenon to the experimental observations in Phys. Rev. Lett. 94, 087003 (2005). It is also shown that nonlinear Josephson dynamics can be defined by resonant interaction with midgap states reminiscent to nonlinear optical phenomena in media of two-level atoms.

16 pages, 2 figures

References in corpus (3)

• Andreev bound states in high-$T_c$ superconducting junctions
• Dynamics and phonon-induced decoherence of Andreev level qubit
• Effect of zero energy bound states on macroscopic quantum tunneling in high-Tc superconductor junctions

Cited by in corpus (3)

• Control of Andreev bound state population and related charge-imbalance effect
• Transport theory for topological Josephson junctions with a Majorana qubit
• Intrinsic dissipation in superconducting junctions probed by qubit spectroscopy