Work

Underlying SUSY in a generalized Jaynes–Cummings model

Year: 2021

Type: article

Abstract: We present a general qubit-boson interaction Hamiltonian that describes the Jaynes-Cummings model and its extensions as a single Hamiltonian class. Our model includes non-linear processes for both the free qubit and boson field as well as non-linear, multi-boson excitation exchange between them. It shows an underlying algebra with supersymmetric quantum mechanics features allowing an operator based diagonalization that simplifies the calculations of observables. As a practical example, we show the evolution of the population inversion and the boson quadratures for an initial state consisting of the qubit in the ground state interacting with a coherent field for a selection of cases covering the standard Jaynes-Cummings model and some of its extensions including Stark shift, Kerr-like, intensity dependent coupling, multi-boson exchange and algebraic deformations.

Source: Scientific Reports

DOI: 10.1038/s41598-021-95259-1

Authors: F. H. Maldonado-Villamizar, C. A. González-Gutiérrez, L. Villanueva-Vergara, B. M. Rodríguez-Lara

Institutions: National Institute of Astrophysics, Optics and Electronics, Secretaría de Ciencia, Humanidades, Tecnología e Innovación, Universidad de Zaragoza, Instituto de Nanociencia y Materiales de Aragón, Tecnológico de Monterrey

Language: English

Topic: Quantum optics and atomic interactions

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,990

Funders: Consejo Nacional de Ciencia y Tecnología, Ministerio de Ciencia e Innovación, Dirección General de Asuntos del Personal Académico, Universidad Nacional Autónoma de México