Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics Condensed Matter

Stratification and switching fronts in a coherent state of excitons sustained by optical pumping

Yu. I. Balkareǐ, Alexander S. Cohen, Vladimir S. Posvyanskii

Published Feb 7, 1994• 2 citations
Publisher

Abstract

Instabilities of a coherent state of Wannier-Mott excitons sustained by a resonant pumping wave in cavity and cavityless cases are analysed. In particular, instability with respect to spatially periodic stratification can exist. The period of such stratification is L approximately L ex =(h(cross)/m gamma ) 1 2/, where m is the effective exciton mass, and gamma is the reciprocal exciton lifetime. The results of numerical modelling of corresponding non-linear structures are presented. For 'exciton-pumping' bistability, non-monotonic switching fronts are demonstrated numerically.

DOI
10.1088/0953-8984/6/6/005

Related papers

Excitonic Bistabilities, Instabilities and Chaos in Laser-pumped Semiconductors

Nguyen Ba An, Dan Trung Nguyen, Hoang Xuan Nguten

Abstract The Hurwitz criteria are used for a stability analysis of the steady state excitonic optical bistability curves in a semiconductor pumped by an exter- nal laser resonant with the exciton level. Besides the middle branch of the bistability curves which is unstable in the sense of the linear stability theory, we have found other domains of instability in the upper and lower branches of the steady state curves. Numerical results show that a possible route to chaos in the photon-exciton system is period-doubling self- oscillation process. The influence of the presence of free carriers that coexist with the excitons is also discussed. 1. Introduction Stability and instability are two sides of matter which are by no means independent but closely related. For example, in case the system state curve develops three branches, it is the unstable behaviour of the middle branch that causes a jumping up or down to the upper or lower branches thus generating the effect of bistability. Bistable devices them- selves may in turn manifest a rich variety of instabilities leading to spontaneous pulsations of both regular and irregular nature. Since 1987 a fully new direction of research dealing with optical self-pulsing and chaos has been orient- ed by the original works of McCall [l], Bonifacio and Lugiato

NASA STI/Recon Technical Report N•Jul 1, 1992•0 citations

Excitonic bistabilities, instabilities and chaos in laser-pumped semiconductors

Nguyen Ba An, Nguyen Trung Dan, Hoang Xuan Nguyen

The Hurwitz criteria are used for a stability analysis of the steady state excitonic optical bistability curves in a semiconductor pumped by an external laser resonant with the exciton level. Besides the middle branch of the bistability curves which is unstable in the sense of the linear stability theory, we have found other domains of instability in the upper and lower branches of the steady state curves. Numerical results show that a possible route to chaos in the photon-exciton system is period-doubling self-oscillation process. The influence of the presence of free carriers that coexist with the excitons is also discussed.

Physica Scripta•Mar 1, 1994•4 citations

Stratification and switching fronts of coherent state of excitons sustained by optical pumping

Yu. I. Balkareǐ, Alexander S. Cohen, Vladimir S. Posvyanskii

European Quantum Electronics Conference (EQEC)•Jan 1, 1994•0 citations

Optical bistability, switching, and self-pulsing in direct-gap semiconductors upon the binding of two excitons in a biexciton

A. Kh. Rotaru, V. Z. Tronchu

A system of nonlinear differential equations describing the dynamic evolution of coherent excitons, photons, and biexcitons is derived in the geometry of a ring cavity. Nonlinearity is caused by the direct binding of two excitons in a biexciton as a result of their Coulomb interaction, which was first predicted by Ivanov, Keldysh, and Panashchenko. The equation of state of the theory of optical bistability is obtained for the stationary case. The stability of stationary states is studied, and the switching times between the branches of the optical bistability curve are determined. It is shown that the appearance of nonlinear periodic and chaotic self-pulsations with the creation of a system of limit cycles and strange attractors in phase space is possible in the unstable portions of the equation of state. Dynamic optical bistability is studied, and the possibility of experimentally detecting the phenomena studied is discussed.

Physics of the Solid State•Oct 1, 1998•2 citations

Transverse patterns in nascent optical bistability

Mustapha Tlidi, Miltos Georgiou, Paul Mandel

We study the Swift-Hohenberg equation describing a passive optical cavity driven by an external coherent field, valid close to the onset of optical bistability. A linear analysis shows that the system can sustain nontrivial stationary structures for small positive detunings. A weakly nonlinear analysis in the vicinity of the instability points reveals the existence of stable hexagonal structures which eventually give way to rolls. Numerical simulations support such a bifurcation scenario.

Physical Review A•Dec 1, 1993•92 citations

Modulation instability of homogeneous resonant excitation regimes of molecular J aggregates

Nikolay A. Veretenov, Leonid A. Nesterov, Nikolay N. Rosanov +1 more

We have performed a linear analysis of the stability of stationary states of homogeneous resonant excitation regimes of molecular J aggregates with coherent sustaining radiation. In the analysis, we have taken into account not only two-particle but also three-particle interactions of molecules, which are related to the exciton-exciton annihilation mechanism. Our detailed investigation of the stability of stationary states has allowed us to determine stability and instability regions and correlate them with the existence of bistability boundaries.

Optics and Spectroscopy•Aug 1, 2014•1 citation
Instabilities of a coherent state of Wannier-Mott excitons sustained by a resonant pumping wave in cavity and cavityless cases are analysed. In particular, instability with respect to spatially periodic stratification can exist. The period of such stratification is L approximately L ex =(h(cross)/m gamma ) 1 2/, where m is the effective exciton mass, and gamma is the reciprocal exciton lifetime. The results of numerical modelling of corresponding non-linear structures are presented. For 'exciton-pumping' bistability, non-monotonic switching fronts are demonstrated numerically.
Abstract The Hurwitz criteria are used for a stability analysis of the steady state excitonic optical bistability curves in a semiconductor pumped by an exter- nal laser resonant with the exciton level. Besides the middle branch of the bistability curves which is unstable in the sense of the linear stability theory, we have found other domains of instability in the upper and lower branches of the steady state curves. Numerical results show that a possible route to chaos in the photon-exciton system is period-doubling self- oscillation process. The influence of the presence of free carriers that coexist with the excitons is also discussed. 1. Introduction Stability and instability are two sides of matter which are by no means independent but closely related. For example, in case the system state curve develops three branches, it is the unstable behaviour of the middle branch that causes a jumping up or down to the upper or lower branches thus generating the effect of bistability. Bistable devices them- selves may in turn manifest a rich variety of instabilities leading to spontaneous pulsations of both regular and irregular nature. Since 1987 a fully new direction of research dealing with optical self-pulsing and chaos has been orient- ed by the original works of McCall [l], Bonifacio and Lugiato
The Hurwitz criteria are used for a stability analysis of the steady state excitonic optical bistability curves in a semiconductor pumped by an external laser resonant with the exciton level. Besides the middle branch of the bistability curves which is unstable in the sense of the linear stability theory, we have found other domains of instability in the upper and lower branches of the steady state curves. Numerical results show that a possible route to chaos in the photon-exciton system is period-doubling self-oscillation process. The influence of the presence of free carriers that coexist with the excitons is also discussed.
A system of nonlinear differential equations describing the dynamic evolution of coherent excitons, photons, and biexcitons is derived in the geometry of a ring cavity. Nonlinearity is caused by the direct binding of two excitons in a biexciton as a result of their Coulomb interaction, which was first predicted by Ivanov, Keldysh, and Panashchenko. The equation of state of the theory of optical bistability is obtained for the stationary case. The stability of stationary states is studied, and the switching times between the branches of the optical bistability curve are determined. It is shown that the appearance of nonlinear periodic and chaotic self-pulsations with the creation of a system of limit cycles and strange attractors in phase space is possible in the unstable portions of the equation of state. Dynamic optical bistability is studied, and the possibility of experimentally detecting the phenomena studied is discussed.
We have performed a linear analysis of the stability of stationary states of homogeneous resonant excitation regimes of molecular J aggregates with coherent sustaining radiation. In the analysis, we have taken into account not only two-particle but also three-particle interactions of molecules, which are related to the exciton-exciton annihilation mechanism. Our detailed investigation of the stability of stationary states has allowed us to determine stability and instability regions and correlate them with the existence of bistability boundaries.