Quantum Dynamics of Topologically Nontrivial Systems with Coulomb Blockade Effects

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Under this project we plan to develop theoretical description of quantum dynamics of hybrid superconducting systems where charge transport properties are governed both by Coulomb blockade of electron tunneling and by nontrivial topology of superconducting state. The simplest example of a system where the interplay of a charge state and topology of superconducting phase manifests itself is a single-electron turnstile with a superconducting island and normal electrodes placed in time-dependent magnetic field. The resulting correlation of the charge tunneling and the entrance/exit of vortices in a superconductor leads to nontrivial magnetoelectric effects. Besides, vortex state alternation influences significantly relaxation processes of quasiparticles in superconducting parts. This effect has been investigated in such systems as electronic turnstiles and coolers, superconducting qubits and resonators in several recent experiments. Development of an adequate theory of quasiparticle dynamics, their tunneling into vortex states in Coulomb blockade regime seems to us a relevant problem, which is essential for the description of these experiments, as well as for possible applications in the field of quantum computing based on localized Andreev states in superconductors.