Superconducting Quantum Circuits in the light of Dirac's Constraint Analysis Framework

• URL: http://arxiv.org/abs/2308.10611v1
• Date: Mon, 21 Aug 2023 10:22:36 GMT
• Title: Superconducting Quantum Circuits in the light of Dirac's Constraint Analysis Framework
• Authors: Akshat Pandey and Subir Ghosh
• Abstract summary: We study different types of Superconducting Quantum Circuits (SQC) in a itunified and unambiguous way. The Lagrangian of a SQC reveals the constraints, that are classified in a Hamiltonian framework.
• Score: 1.1672776958819344
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In this work we introduce a new framework - Dirac's Hamiltonian formalism of constraint systems - to study different types of Superconducting Quantum Circuits (SQC) in a {\it{unified}} and unambiguous way. The Lagrangian of a SQC reveals the constraints, that are classified in a Hamiltonian framework, such that redundant variables can be removed to isolate the canonical degrees of freedom for subsequent quantization of the Dirac Brackets via a generalized Correspondence Principle. This purely algebraic approach makes the application of concepts such as graph theory, null vector, loop charge,\ etc that are in vogue, (each for a specific type of circuit), completely redundant.

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