Duality between coherent quantum phase-slip and the Josephson junction in nanowires by dual Hamiltonian method

Abstract

A method was devised to construct a generalized dual field theory with a quantum field theory named the dual Hamiltonian (DH) method. As a simple example using this method, we examined the duality between coherent quantum phase-slip and Josephson junction (JJ) in single junction systems and nanowires. This method was proved to be reliable within the Villain approximation.