Jaynes-Cummings model without rotating wave approximation. Asymptotics of eigenvalues

2002/11/22 by Eduard Tur, É. A. Tur, Tur, Eduard
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum optics and atomic interactions #Spectral Theory (math.SP) #math-ph #math.MP #math.SP

paper · pdf · doi:10.48550/arxiv.math-ph/0211055

12 pages, MikTeX

arxiv created 2002/11/22 · openalex publication_date 2002/11/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper the perturbation theory with the frequency of transition in atom as perturbation parameter is constructed. The estimation of the reminder term of series of this perturbation theory is given. With the help of this perturbation theory we have found an exact asymptotics of eigenvalues of complete hamiltonian in the limit of high quantum numbers. It is shown that the counter-rotating terms keep a leading term but absolutely change a second term of this asymptotic.

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