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arXiv:1205.1024 · Physical Review B

Spin multistability in dissipative polariton channels

Özgür Bozat, Ivan G. Savenko, Ivan Andreevich Shelykh

Published Jul 10, 2012• 20 citations
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Abstract

We present a model for the theoretical description of the dynamics of a system of spinor cavity polaritons in real space and time, accounting for all relevant types of the interactions and effective magnetic fields. We apply our general formalism for the consideration of the polarization dynamics of the coherently driven, one-dimensional polariton channel. We investigate the effect of the temperature and the longitudinal-transverse splitting on the spin (polarization) multistability and hysteresis arising from the polarization-dependent polariton-polariton interaction. We show that the effect of the phase of the driving laser pump is as important as its strength, and demonstrate that the multistability behavior can survive up to high temperatures in the presence of longitudinal-transverse splitting.

DOI
10.1103/physrevb.86.035413

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We present a model for the theoretical description of the dynamics of a system of spinor cavity polaritons in real space and time, accounting for all relevant types of the interactions and effective magnetic fields. We apply our general formalism for the consideration of the polarization dynamics of the coherently driven, one-dimensional polariton channel. We investigate the effect of the temperature and the longitudinal-transverse splitting on the spin (polarization) multistability and hysteresis arising from the polarization-dependent polariton-polariton interaction. We show that the effect of the phase of the driving laser pump is as important as its strength, and demonstrate that the multistability behavior can survive up to high temperatures in the presence of longitudinal-transverse splitting.
We present a theoretical study of spin multistability and hysteresis in resonantly pumped exciton–polaritons within semiconductor microcavities. This multistable behavior arises from the nonlinear, polarization-dependent anisotropy of polariton–polariton interactions. Unlike conventional optical bistability in spinless nonlinear optical systems, the dynamics are governed by spin-selective coupling. We calculate the steady-state polariton density and degree of circular polarization of the intracavity polariton field, demonstrating that for a fixed pump polarization, wave vector, and detuning, the degree of polarization could take on multiple values depending on the pump strength. This spin-sensitive multistability lays the groundwork for multichannel optical switches governed not just by total pump intensity but also by its pump polarization.
New effects of polarization multistability and polarization hysteresis in a coherently driven polariton system in a semiconductor microcavity are predicted and theoretically analyzed. The multistability arises due to polarization-dependent polariton-polariton interactions and can be revealed in polarization resolved photoluminescence experiments. The pumping power required to observe this effect is 4 orders of magnitude lower than the characteristic pumping power in conventional bistable optical systems.
We investigate the influence of transverse-electric–transverse-magnetic (TE–TM) splitting on the nonlinear response and bistability of resonantly driven spinor exciton-polaritons in a spatially homogeneous microcavity system. Using a coupled exciton–photon mean-field model, we find that TE–TM splitting significantly modifies the bistability threshold, hysteresis width, and spin composition of the steady states. In particular, TE–TM splitting counteracts the spin imbalance imposed by elliptically polarized pumping, leading to nearly equal populations of the two spin components and strongly suppressed degree of circular polarization in the steady state. The pump momentum plays a crucial role through its connection to the curvature of the lower polariton dispersion, resulting in distinct nonlinear regimes with different switching thresholds and dynamical responses. The intermediate branch within the hysteresis loop is unstable but may exhibit slow instability growth rates, giving rise to long-lived transient states. These results clarify how TE–TM splitting reshapes bistability and nonlinear spin dynamics in polariton systems and provide insight into the controlling polariton switching behavior through cavity anisotropy and pump parameters.
Chirality of cavity polaritons, brought on by lifted degeneracy of right- and left-circularly polarized polariton levels, makes possible a new kind of multistability that manifests itself in fast (few tens of picoseconds) spin-flip transitions in the cavity field under a resonant pump with fixed polarization but varying intensity. This effect is due to resonance-shifting polariton-polariton interactions; it has been described within a coherent mean-field approach and observed experimentally using pulsed 70 picosecond long excitation in a magnetic field.
The polarization dependence of nonequilibrium transitions in a multistable cavity-polariton system is studied under nanosecond-long resonant optical excitation at normal and magic angle incidences with various polarizations of the pump beam. The temporal correlations between the frequency, intensity, and optical polarization of the intracavity field, which all undergo sharp threshold-like changes due to the spin-dependent interaction of cavity polaritons, are visualized. The observed dynamics cannot be reproduced within the conventional semiclassical model based on the Gross-Pitaevskii equations. To explain the observed phenomena, it is necessary to take into account the unpolarized exciton reservoir that brings on an additional blue shift of bright excitons, the same for the ${\ensuremath{\sigma}}^{+}$ and ${\ensuremath{\sigma}}^{\ensuremath{-}}$ polarization components. This model explains the effect of polarization instability under both pulsed- and continuous-wave resonant excitation conditions, consistently with the spin ring pattern formation that has recently been observed under Gaussian-shaped excitation.
We investigate exciton-polariton condensates with a rotating potential induced by an electric field in a semiconductor microcavity ring. In the absence of transverse-electric-transverse-magnetic (TE-TM) splitting, we find that there is a critical laser pump rate, above which the quantized phase slips appear with hysteresis, and there exist quantized average angular momenta at fixed angular velocities, regardless of the pump rate. When considering the TE-TM splitting, we find that there are a series of hysteresis loops with the same intervals which are modulated by the magnitude of the splitting for a linear polarization laser. Further, multistability occurs at large pump rate, and there arises a phase slip for only one spin with large absolute value of the polarization degree, owing to the competition of the TE-TM splitting and energy induced by rotation. These results can be verified experimentally with current technology, and are useful for future electro-optic devices.