Long-range coupling between superconducting quantum dots induced by periodic driving
Andriani Keliri, Benoît Douçot
DOI 10.1103/PhysRevB.108.184516 · Physical Review B
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Abstract
We consider a Josephson bijunction consisting of three superconducting reservoirs connected through two quantum dots. In equilibrium, the interdot coupling is sizable only for distances smaller than the superconducting coherence length. Application of commensurate dc voltages results in a time-periodic Hamiltonian and induces an interdot coupling at large distances. The basic mechanism of this long-range coupling is shown to be due to local multiple Andreev reflections on each dot, followed by quasiparticle propagation at energies larger than the superconducting gap. At large interdot distances, we derive an effective non-Hermitian Hamiltonian describing two resonances coupled through a continuum.
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