Published August 2018
| Version v1
Journal article
Matrix diagonalization and exact solution of the k-photon Jaynes–Cummings model
- 1. Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Ed. 9, Unidad Profesional Adolfo López Mateos, Delegación Gustavo A. Madero (Mexico)
- 2. Escuela Superior de Cómputo, Instituto Politécnico Nacional, Av. Juan de Dios Bátiz esq. Av. Miguel Othón de Mendizábal, Col. Lindavista, Delegación Gustavo A. Madero (Mexico)
Description
We study and exactly solve the two-photon and k-photon Jaynes–Cummings models by using a novelty algebraic method. This algebraic method is based on the Pauli matrices realization and the tilting transformation of the SU(2) group and let us diagonalize the Hamiltonian of these models by properly choosing the coherent state parameters of the transformation. Finally, we explicitly obtain the energy spectrum and eigenfunctions for each model. Graphical abstract: .
Additional details
Identifiers
Publishing Information
- Journal Title
- European Physical Journal. D, Atomic, Molecular and Optical Physics
- Journal Volume
- 72
- Journal Issue
- 8
- Journal Page Range
- p. 1-7
- ISSN
- 1434-6060
INIS
- Country of Publication
- France
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 51077824
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- ANNIHILATION OPERATORS; EIGENSTATES; ENERGY SPECTRA; EXACT SOLUTIONS; HAMILTONIANS; MATRICES; PAULI SPIN OPERATORS; PHOTONS; SU-2 GROUPS
- Descriptors DEC
- ANGULAR MOMENTUM OPERATORS; BOSONS; ELEMENTARY PARTICLES; LIE GROUPS; MASSLESS PARTICLES; MATHEMATICAL OPERATORS; MATHEMATICAL SOLUTIONS; QUANTUM OPERATORS; SPECTRA; SU GROUPS; SYMMETRY GROUPS
Optional Information
- Copyright
- Copyright (c) 2018 EDP Sciences, SIF, Springer-Verlag GmbH Germany, part of Springer Nature
- Notes
- This record replaces 50016005; This record replaces 50034359