https://doi.org/10.1007/s100530050068
Canonical dressing in the multimode two-quantum Jaynes-Cummings model
Dept. of Physics, The Chinese University of Hong Kong,
Shatin, New Territories, Hong Kong
Corresponding author: a cflo@phy.cuhk.edu.hk
Received:
5
July
1997
Revised:
3
November
1997
Accepted:
14
November
1997
Published online: 15 January 1998
Based upon the hidden Lie SU(1,1) symmetry, we have constructed the unitary decoupling transformation which diagonalizes the multimode two-quantum Jaynes-Cummings model and provides us with an extremely convenient basis to gain a deeper understanding of the dressing processes present in the matter-field interaction. This canonical transformation approach is very simple and can be easily extended to other generalized Jaynes-Cummings models.
PACS: 03.65.Fd – Algebraic methods / 32.80.Pj – Optical cooling of atoms; trapping / 42.50.Vk – Mechanical effects of light on atoms, molecules, electrons, and ions
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 1998