The Dual Canonical Formalism in the Quantum Junction Systems
Morishige Yoneda, Masaaki Niwa, Mitsuya Motohashi
TL;DR
This paper develops a dual canonical formalism to analyze quantum dual systems, establishing relationships between current, voltage, phase, and particle number in dual junction configurations.
Contribution
It introduces a novel dual canonical formalism for quantum systems and applies it to analyze dualities in superconducting and insulating junctions.
Findings
Derived relationships between phase and particle number in dual systems
Analyzed duality between different quantum junction configurations
Established a formalism for studying quantum dual systems
Abstract
We have constructed a theory of dual canonical formalism, to study the quantum dual systems. In such a system, as the relationship between current and voltage of each, we assumed the duality conditions. As a simple example, we examined the duality between the SC / SI / SC junction and SI / SC / SI junction. We derived the relationship between the phase and the number of particles in a dual system of each other.
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Taxonomy
TopicsForce Microscopy Techniques and Applications · Neural Networks and Applications · Surface and Thin Film Phenomena