N-Level System Interacting with Single Radiation Mode and Multi Cat States of Schrodinger in the Strong Coupling Regime

Abstract

In this paper we consider some (generalized) models which deal with n--level atom interacting with a single radiation mode and study a general structure of Rabi floppings of these generalized ones in the strong coupling regime. To solve these models we introduce multi cat states of Schr{\" o}dinger in our terminology and extend the result in (quant--ph/0203135) which Rabi frequencies are given by matrix elements of generalized coherent operators (quant--ph/0202081) under the rotating--wave approximation. Our work is a full generalization of Frasca (quant--ph/0111134) and Fujii (quant--ph/0203135). In last we make a brief comment on an application to Quantum Computation on the space of qudits.

Latex file, 29 pages; new section (Unitary Operations in Quantum Computation) added and some references added

References in corpus (1)

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

Cited by in corpus (6)

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• A Generalized Hamiltonian Characterizing the Interaction of the Two-Level Atom and both the Single Radiation Mode and External Field
• Cavity QED and Quantum Computation in the Strong Coupling Regime II : Two Atoms Case