An exact solution of the stochastic Liouville equation: The two-level system coupled to an asymmetric dichotomous field

1996 ◽  
Vol 218 (3-6) ◽  
pp. 343-348 ◽  
Author(s):  
E.G. Petrov ◽  
I.A. Goychuk ◽  
V.I. Teslenko ◽  
V. May
Keyword(s):  
Exact Solution ◽  
Liouville Equation ◽  
Level System ◽  
Stochastic Liouville Equation

FIELD PURIFICATION OF A GENERAL THREE-LEVEL SYSTEM INTERACTING WITH RADIATION

2003 ◽  
Vol 17 (07) ◽  
pp. 253-262 ◽  
Author(s):  
MAHMOUD ABDEL-ATY
Keyword(s):  
Exact Solution ◽  
Electromagnetic Field ◽  
Density Operator ◽  
Photon Number ◽  
Entangled State ◽  
Level System ◽  
Level Atom ◽  
Coherent Field ◽  
Field Purity ◽  
Intensity Dependent Coupling

In this essay we introduce a new Hamiltonian which represents the interaction between a three-level atom and a single electromagnetic field including arbitrary forms of nonlinearities of both the field and the intensity-dependent coupling. We derive an exact solution for the density operator of the system by means of which we study the field purity for the entangled state of the system. Also, the influences of the nonlinearities on the field purity and mean photon number are examined. Under the condition of an initial coherent field, the field purity shows the collapse-revival phenomenon. It is found that features of these phenomenon are sensitive to the changes of different kinds of the nonlinearities.

The stochastic Liouville equation and Pad� approximants

1988 ◽  
Vol 53 (1-2) ◽  
pp. 109-124 ◽  
Author(s):  
A. J. Dammers ◽  
Y. K. Levine ◽  
J. A. Tjon
Keyword(s):  
Liouville Equation ◽  
Stochastic Liouville Equation

Exact solution of the two-level system and the Einstein solid in the microcanonical formalism

2011 ◽  
Vol 32 (6) ◽  
pp. 1485-1493 ◽  
Author(s):  
Dalía S Bertoldi ◽  
Eduardo M Bringa ◽  
E N Miranda
Keyword(s):  
Exact Solution ◽  
Level System
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