Explicit Form of Solution of Two Atoms Tavis-Cummings Model

Abstract

In this paper we consider the two atoms Tavis--Cummings model and give an explicit form to the solution of this model which will play a central role in quantum computation based on atoms of laser--cooled and trapped linearly in a cavity. We also present a problem of three atoms Tavis--Cummings model which is related to the construction of controlled--controlled NOT operation (gate) in quantum computation.

Latex file, 11 pages. After submitting the paper we received some comments, so we add Appendix to reply to one of them

References in corpus (2)

• Quantum Optical Construction of Generalized Pauli and Walsh-Hadamard Matrices in Three Level Systems
• Dynamical decoherence in a cavity with a large number of two-level atoms

Cited by in corpus (3)

• From Quantum Optics to Non-Commutative Geometry : A Non-Commutative Version of the Hopf Bundle, Veronese Mapping and Spin Representation
• Jaynes-Cummings Model and a Non-Commutative "Geometry" : A Few Problems Noted
• Explicit Form of the Evolution Operator for the Four Atoms Tavis-Cummings Model