Conserved excitation number and U(1)-symmetry operator for the anti-rotating (anti-Jaynes-Cummings) term of the Rabi Hamiltonian

2021/03/11 by Joseph Akeyo Omolo, Omolo, Joseph Akeyo
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.2103.06577

openalex publication_date 2021/03/11 · openalex created_date 2021/03/15 · openalex updated_date 2026/07/28

Abstract

In this article we apply algebraic operator ordering property of the basic atom and field operators to construct and prove conservation of the excitation number operator of the anti-rotating (anti-Jaynes-Cummings) component of the quantum Rabi model. The corresponding U(1) and parity symmetry operators have also been derived in explicit form.

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