Article

Jaynes-Cummings model: What emerges first beyond the rotating-wave approximation?

03/2012;
Source: arXiv

ABSTRACT The Jaynes-Cummings model without the rotating-wave approximation can be
solved exactly by extended Swain's ansatz with the conserved parity. The
analytical approximations are then performed at different levels. The
well-known rotating-wave approximation is naturally covered in the present zero
and first approximations. The effect of the counter rotating-wave term emerges
clearly in the second order approximation. The concise analytical expressions
are given explicitly and can be applicable up to the ultra-strong coupling
regime. The preliminary application to the vacuum Rabi splitting is shown to be
very successful.

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Keywords

analytical approximations
 
conserved parity
 
counter rotating-wave term
 
first approximations
 
Jaynes-Cummings model
 
rotating-wave approximation
 
Swain's ansatz
 
vacuum Rabi splitting
 
well-known rotating-wave approximation