SU(4) based classification of four-level systems and their semiclassical solution

Abstract

We present a systematic method to classify the four-level system using $SU(4)$ symmetry as the basis group. It is shown that this symmetry allows three dipole transitions which eventually leads to six possible configurations of the four-level system. Using a dressed atom approach, the semi-classical version of each configuration is exactly solved under rotating wave approximation and the symmetry of the Rabi oscillation among various models is studied and its implication is discussed.

8 pages, 12 Figures

References in corpus (4)

• Four-level and two-qubit systems, sub-algebras, and unitary integration
• Geometric phases and Bloch sphere constructions for SU(N), with a complete description of SU(4)
• Electromagnetically induced transparency in an inverted Y-type four-level system
• Bloch space structure, the qutrit wave function and atom-field entanglement in three-level systems

Cited by in corpus (1)

• Collapse and Revival Oscillation in Double Jaynes-Cummings Model