Quantum phase transitions and vortex dynamics in superconducting networks
By Rosario Fazio, H. S. J. Zant. 2000
379 citations recorded by the source corpus.
Abstract Josephson-junction arrays are ideal model systems to study a variety of phenomena such as phase transitions, frustration effects, vortex dynamics and chaos. In this review, we focus on the quantum dynamical properties of low-capacitance Josephson-junction arrays. The two characteristic energy scales in these systems are the Josephson energy, associated with the tunneling of Cooper pairs between neighboring islands, and the charging energy, which is the energy needed to add an extra electron charge to a neutral island. The phenomena described in this review stem from the competition between single-electron effects with the Josephson effect. They give rise to (quantum) superconductor–insulator phase transitions that occur when the ratio between the coupling constants is varied or when the external fields are varied. We describe the dependence of the various control parameters on the phase diagram and the transport properties close to the quantum critical points. On the superconducting side of the transition, vortices are the topological excitations. In low-capacitance junction arrays these vortices behave as massive particles that exhibit quantum behavior. We review the various quantum–vortex experiments and theoretical treatments of their quantum dynamics.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/4b0629555abf4ff6ebceabc1c2351f2228b6ea49
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In Atomic and Molecular Physics, and Optics
- Michael J. Hartmann
- Andrew A. Houck
- Jens Koch
- W. Shanks
- Devin Underwood
- John R. Kirtley
- Steven M. Girvin
- Göran Wendin
In Condensed Matter Physics
Citations in the corpus
- Fundamental studies of superconductors using scanning magnetic imaging (2010, background): “Superconducting wire lattices, clusters, and nano-hole arrays Two dimensional arrays of Josephson junctions [135, 136, 137, 138, 139, 140] have been studied extensively, not only because they offer the possibility of studying Kosterlitz-Thouless effects [141] in an ordered 2-dimensional system, but ”
- Quantum simulation with interacting photons (2016, methodology): “Motivated by its application to Josephson junction arrays [78], this model received significant interest in the 1990s and its ground state phase diagram has been discussed by Fisher et al [85].”
- Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons (2012, background): “The development of such quantum simulators [2] has since been an active area of research in a number of physical systems, including ultracold atoms in traps and optical lattices [3, 4], trapped ions [5], and Josephson junction arrays [6].”