https://doi.org/10.1007/s100530050051
Bistable behaviour in squeezed vacua: I. Stationary analysis
1
Ain Shams University, Faculty of Science, Mathematics Department, Cairo, Egypt
2
King Abdul-Aziz University, Faculty of Science, Mathematics Department (Women's
Section), P.O. Box 41101,
Jeddah 21521, Saudi Arabia
3
Department of Mathematics and Physics, Manchester Metropolitan University,
Manchester M1 5GD, England
4
UMIST, Mathematics Department, P.O. Box 88, Manchester M60 1QD, England
Received:
12
March
1999
Revised:
20
August
1999
Published online: 15 March 2000
A time-independent theoretical and numerical analysis of
an optical bistable model of two-level atoms in a ring
cavity, driven by a coherent field and in contact with
a squeezed vacuum field is presented in the two cases
of absorptive and dispersive optical bistability (OB).
In the former case, a suitable choice of the phase
of the squeezed vacuum field reduces the threshold
for OB to occur compared with the normal vacuum
case. In the latter case, regions of OB are identified as one
or two disconnected simple closed curves
depending on the cooperation parameter
0pt[0pt]
:
is the maximum possible value of the critical
value of C at fixed values of the squeezed vacuum field
parameters. Phase
switching effects between different
(output) states of the system is investigated in detail. In the
absorptive case, one- or two-way optical switching is
possible depending on
0pt[0pt].
We also present results which
demonstrate more complicated
switching behaviour in the dispersive case.
PACS: 42.65.Pc – Optical bistability, multistability, and switching / 42.65.Sf – Dynamics of nonlinear optical systems, optical instabilities and optical chaos and complexity, and optical spatio-temporal dynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2000
