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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