Circuit Quantisation in Hamiltonian Framework: A Constraint Analysis Approach
Quantum Physics
2024-10-28 v1 Mesoscale and Nanoscale Physics
High Energy Physics - Theory
Abstract
In this work we apply Dirac's Constraint Analysis (DCA) to solve Superconducting Quantum Circuits (SQC). 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. We demonstrate the robustness of DCA unlike certain other set of ideas like null vector and loop charge which are each applicable only to specific types of quantum circuits.
Cite
@article{arxiv.2410.19004,
title = {Circuit Quantisation in Hamiltonian Framework: A Constraint Analysis Approach},
author = {Akshat Pandey and Subir Ghosh},
journal= {arXiv preprint arXiv:2410.19004},
year = {2024}
}
Comments
11 pages, version accepted for publication in Academia Quantum. Substantial overlap with arXiv:2308.10611