skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Finite Group Invariance and Solution of Jaynes-Cummings Hamiltonian

Journal Article · · AIP Conference Proceedings
DOI:https://doi.org/10.1063/1.1814729· OSTI ID:20630231
;  [1]
  1. Department of Physics, Faculty of Engineering University of Gaziantep, 27310 Gaziantep (Turkey)

The finite group invariance of the E x {beta} and Jaynes-Cummings models are studied. A method is presented to obtain finite group invariance of the E x {beta} system.A suitable transformation of a Jaynes-Cummings Hamiltonian leads to equivalence of E x {beta} system. Then a general method is applied to obtain the solution of Jaynes-Cummings Hamiltonian with Kerr nonlinearity. Number operator for this structure and the generators of su(2) algebra are used to find the eigenvalues of the Jaynes-Cummings Hamiltonian for different states. By using the invariance of number operator the solution of modified Jaynes-Cummings Hamiltonian is also discussed.

OSTI ID:
20630231
Journal Information:
AIP Conference Proceedings, Vol. 729, Issue 1; Conference: International workshop on global analysis, Ankara (Turkey), 15-17 Apr 2004; Other Information: DOI: 10.1063/1.1814729; (c) 2004 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
Country of Publication:
United States
Language:
English

Similar Records

Entanglement invariant for the double Jaynes-Cummings model
Journal Article · Mon Oct 15 00:00:00 EDT 2007 · Physical Review. A · OSTI ID:20630231

Grassmann phase space theory and the Jaynes–Cummings model
Journal Article · Mon Jul 15 00:00:00 EDT 2013 · Annals of Physics (New York) · OSTI ID:20630231

Integrability and superintegrability of the generalized n-level many-mode Jaynes-Cummings and Dicke models
Journal Article · Thu Oct 15 00:00:00 EDT 2009 · Journal of Mathematical Physics · OSTI ID:20630231