Nonlinear time-independent and time-dependent propagation of light in direct-gap semiconductors with paired excitons bound into biexcitons |
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Authors: | A Kh Rotaru V Z Tronchu |
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Institution: | (1) State University of Moldova, 277000 Kishinev, Moldova;(2) Institute of Applied Physics, Academy of Sciences of Moldova, 277028 Kishinev, Moldova |
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Abstract: | We study a new class of nonlinear cooperative phenomena that occur when light propagates in direct-gap semiconductors. The
nonlinearity here is due to a process, first discussed by A. L. Ivanov, L. V. Keldysh, and V. V. Panashchenko, in which two
excitons are bound into a biexciton by virtue of their Coulomb interaction. For the geometry of a ring cavity, we derive a
system of nonlinear differential equations describing the dynamical evolution of coherent excitons, photons, and biexcitons.
For the time-independent case we arrive at the equation of state of optical bistability theory, and this equation is found
to differ considerably from the equations of state in the two-level atom model and in the exciton region of the spectrum.
We examine the stability of the steady states and determine the switchover times between the optical bistability branches.
We also show that in the unstable sections of the equation of state, nonlinear periodic and chaotic self-pulsations may arise,
with limit cycles and strange attractors being created in the phase space of the system. The scenario for the transition to
the dynamical chaos mode is found. A computer experiment is used to study the dynamic optical bistability. Finally, we discuss
the possibility of detecting these phenomena in experiments.
Zh. éksp. Teor. Fiz. 112, 1778–1790 (November 1997) |
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