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Physical Review B

Microcavity polariton spin quantum beats without a magnetic field: A manifestation of Coulomb exchange in dense and polarized polariton systems

P. Renucci, Th. Amand, X. Marie, P. Senellart, Jacqueline Bloch, B. Sermage, Kirill V. Kavokin

Published Aug 5, 2005• 154 citations
Publisher

Abstract

Microcavity polariton spin dynamics is investigated in high-finesse microcavities under resonant excitation using polarization- and time-resolved secondary emission spectroscopy. Using an appropriate calibration procedure, the instantaneous polariton occupation numbers of the modes with $\mathbf{k}\ensuremath{\approx}\mathbf{0}$ wave vectors can be determined. When the phase-matching conditions are achieved, we show that Coulomb scattering dominates the other processes, and that stimulation occurs when the occupation of the $\mathbf{k}\ensuremath{\approx}\mathbf{0}$ final state with a given mode polarization approaches unity. Under elliptically polarized light, we show that the stimulated polariton scattering leads to an increase with time of the circular polarization of the $\mathbf{k}\ensuremath{\approx}\mathbf{0}$ states, while the linear polarization dynamics is characterized first by a fast drop to negative or zero values immediately after the excitation pulse, followed by weak-amplitude nonperiodic oscillations. The latter are interpreted as the manifestation of the pseudospin precession of the pumped polariton modes around the self-induced exchange effective field.

DOI
10.1103/physrevb.72.075317

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Microcavity polariton spin dynamics is investigated in high-finesse microcavities under resonant excitation using polarization- and time-resolved secondary emission spectroscopy. Using an appropriate calibration procedure, the instantaneous polariton occupation numbers of the modes with k\ensuremath≈0\mathbf{k}\ensuremath{\approx}\mathbf{0}k\ensuremath≈0 wave vectors can be determined. When the phase-matching conditions are achieved, we show that Coulomb scattering dominates the other processes, and that stimulation occurs when the occupation of the k\ensuremath≈0\mathbf{k}\ensuremath{\approx}\mathbf{0}k\ensuremath≈0 final state with a given mode polarization approaches unity. Under elliptically polarized light, we show that the stimulated polariton scattering leads to an increase with time of the circular polarization of the k\ensuremath≈0\mathbf{k}\ensuremath{\approx}\mathbf{0}k\ensuremath≈0 states, while the linear polarization dynamics is characterized first by a fast drop to negative or zero values immediately after the excitation pulse, followed by weak-amplitude nonperiodic oscillations. The latter are interpreted as the manifestation of the pseudospin precession of the pumped polariton modes around the self-induced exchange effective field.
Experimental studies have been performed of the nonequilibrium transitions in multistable cavity-polariton systems under 10 ps long pulsed excitation, i.e., within nearly the shortest time scale necessary for the multistability to be revealed in GaAs-based microcavities. The experiments were aimed to determine the ratio of the strengths of the pair interactions between polaritons with parallel and antiparallel spins, which also was the question raised in a number of recent studies. We show that in contrast to the cases of continuous-wave or nanosecond long pumping conditions, in the fast pulse regime the system is not affected by the excitonic reservoir. The interaction between polaritons with opposite spins is definitely attractive at a nearly zero detuning of exciton and photon modes; as a result, optical response can be essentially multistable at a linearly polarized excitation. With increasing pulse duration up to 100 ps, the reservoir can start manifesting itself in a reduction of the spin multistability.
From the canonical and rotating-wave transformations, we obtained the effective lower-polariton Hamiltonian depending on the applied magnetic field from the coupling of one of the quantum-well excitons and photons in a semiconductor microcavity. When the pump field is circularly polarized, the nonlinear interaction can induce a strong polariton blockade near the resonant peaks, which can be suppressed by a large pump in weak magnetic field situations. Thus, the platform behavior in the variation of the polariton occupation proves the polariton quantum blockade. On the other hand, when the pump field is linearly polarized, we achieve a single-photon emitter whose polariton polarization can be adjusted by an applied magnetic field. Polaritons with opposite spins, on the other hand, are anti-bunching in the lower excitation regime and become bunching only in weak magnetic field situations and a high excitation regime. Our findings constitute a potential step toward the realization of strongly coupled polaritonic systems.
We study the relaxation dynamics of spin-polarized exciton-polaritons using a technique in a pump-probe configuration: According to their total angular momentum, exciton-polaritons can be excited by circularly polarized light of either σ+ or σ− helicities. In addition, a bound state of two excitons may exist to which the transition is only allowed when using two photons of opposite helicities. After excitation by a pump pulse of σ+ helicity, additional polaritons from a probe pulse of σ− helicity may be absorbed to excite biexcitons, while absorption of those with σ+ helicity becomes possible only after a spin-flip process. It is characterized by a time-constant τs, which can be determined by a time-resolved study of the induced transmission changes at the exciton–biexciton transition. We demonstrate this method using bulk CuCl, in which the biexciton binding energy is large and in which effects due to polariton propagation can be nicely evidenced. We thus identify a spectral region where the spin-flip process is dominating, which is situated just below the polariton bottleneck.
We study the dynamics of exciton polaritons in a double-well configuration. The system consists of two weakly coupled Bose-Josephson junctions, each corresponding to a different circular polarization of the polaritons, forming a Josephson double dimer. We show that the Josephson oscillation between the wells is strongly coupled to the polarization rotation and that, consequently, Josephson excitation is periodically exchanged between the two polarizations. Linearized analysis agrees well with numerical simulations using typical experimental parameters.