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 semiclassical 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.

Collapse and revival oscillation in Double Jaynes–Cummings model

“…In particular, it is shown that for some specific pairs of Bell states, the model precisely recovers the collapse and revival time of typical JCM at each local sites. Going beyond multifaceted applications of photonic entanglement, the study of the entanglement scenario of atomic or molecular system with two or three levels 38,39 has a very special appeal as they are connected with plethora of quantum-optical phenomena such as, intensity-intensity correlation, squeezing phenomenon, Moller splitting, bunching and anti-bunching effect etc 41 including the manipulation of the bulk properties of materials such as EIT 43 . Studies of the diverse class of bipartite system within the framework of the D-JCM may provide a handle to explore a new arena of quantum correlation where the manipulation and control of various optical properties could be done nonlocally.…”

“…For Scenario-I, to solve the D-JCM using the dressed state formalism, we define the initial dressed wave function by a orthogonal transformation of the bare state in Eq. ( 9) 37,39 ,…”

“…Among them, the four-level system defined in Hilbert space H (4) , is related with the phenomena like four-level EIT effect 32 , pulse propagation in coherently prepared four-level system 33,34 , qubit-induced micro-switching 35,36 , Rabi oscillation in the equidistant four-level system 37 etc. Recently, in a series of work we have developed a dressed state formalism to solve the three 38 and four-level system 37,39 and studied their Rabi oscillation and other possible properties. To generalize that approach, in the present paper we extend the dressed state formalism to solve the D-JCM in the Bell basis.…”