Weak ergodicity breaking in Josephson-junction arrays

Duality in Josephson Junction Arrays

Various properties of mesoscopic two-dimensional Josephson junction arrays are reviewed. Particular attention is paid to structure of the topological excitations, charges and vortices, which are shown to be dual to each other. This duality persists in the presence of external magnetic fields and offset charges, which influence vortices and charges in an equivalent way. A double-layer junction a...

Geometrical Defects in Josephson Junction Arrays

Dislocations and disclinations in a lattice of Josephson junctions will affect the dynamics of vortex excitations within the array. These defects effectively distort the space in which the excitations move and interact. We calculate the interaction energy between such defects and excitations, determine vortex trajectories in twisted lattices, and discuss the consequences for experiment. Typeset...

Quantum Phase Transitions in Josephson Junction Arrays

In this chapter we review the quantum phase transitions and transport properties of low-capacitance Josephson junction arrays. We will present the models and introduce the relevant topological excitations. The phase diagram depends in a very rich way on various control parameters. We will discuss the universality or or absence of universality of the transport properties at the quantum phase tra...

Self-field effects in Josephson junction arrays.

Synchronization of underdamped Josephson-junction arrays

Our recent experiments show that arrays of underdamped Josephson junctions radiate coherently only above a threshold number of junctions switched onto the radiating state. For each junction, the radiating state is a resonant step in the current-voltage characteristics due to the interaction between the junctions in the array and an electromagnetic cavity. Here we show that a model of a one-dime...