Theory of relaxation oscillations in exciton-polariton condensates

Opala, Andrzej; Pieczarka, Maciej; Matuszewski, Michał

doi:10.1103/physrevb.98.195312

Cited by 15 publications

(9 citation statements)

References 40 publications

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“…For example, features equivalent to biological neuron excitability and refractory period may be enabled based on oscillatory dynamics of polaritons which here we have not observed. [41,72] This promise is even more intriguing considering that the polaritonic platform potentially provides means for ultrafast end energy efficient spike processing which copes with aspirations of the neuromorphic engineering field.…”

Section: Discussionmentioning

confidence: 99%

“…[39,40] Importantly, polaritons also provide non-linear oscillatory dynamics under pulsed excitation. [41] These unique properties allowed the demonstration of Josephson junctions, [42] polariton transistors and logical gates, [43,44] classical artificial neurons, [45] non-linear phenomena at the femtojoule level, [46] and polariton-based reservoir computing. [47] Our proof-of-principle polariton binarized neural network has shown the capability of efficient handwritten digit recognition with high accuracy.…”

Section: Introductionmentioning

confidence: 99%

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Leaky Integrate‐and‐Fire Mechanism in Exciton–Polariton Condensates for Photonic Spiking Neurons

Tyszka

Furman

Mirek

et al. 2022

Laser & Photonics Reviews

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This paper introduces a new approach to neuromorphic photonics in which microcavities exhibiting strong exciton–photon interaction may serve as building blocks of optical spiking neurons. The experimental results demonstrate the intrinsic property of exciton–polaritons to resemble the Leaky Integrate‐and‐Fire (LIF) spiking mechanism. It is shown that exciton–polariton microcavities when non‐resonantly pumped with a pulsed laser exhibit leaky integration due to relaxation of the excitonic reservoir, threshold‐and‐fire mechanism due to transition to Bose–Einstein Condensate (BEC), and resetting due to stimulated emission of photons. These effects, evidenced in photoluminescence characteristics, arise within sub‐ns timescales. The presented approach provides means for ultrafast processing of spike‐like laser pulses with energy efficiency at the level below 1 pJ per spike.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Leaky Integrate‐and‐Fire Mechanism in Exciton–Polariton Condensates for Photonic Spiking Neurons

Tyszka

Furman

Mirek

et al. 2022

Laser & Photonics Reviews

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“…Apart from the novelty value for fundamental research, the present results are also of high importance for practical applications, e.g., a realization of tunable multi-wavelength sources of coherent light with an ultra-low lasing threshold or development of integrated, all-optical devices performing logic operations. [58][59][60] For instance, excitation power dependent intensity switching and blueshift of signals from the two lowest polariton levels provide two outputs, enabling the realization of all-optical two-qubit gates [61].…”

Section: Discussionmentioning

confidence: 99%

Polariton lasing and energy-degenerate parametric scattering in non-resonantly driven coupled planar microcavities

Sawicki¹,

Sturges²,

Ściesiek³

et al. 2021

Preprint

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Multi-level exciton-polariton systems offer an attractive platform for studies of non-linear optical phenomena. However, studies of such consequential non-linear phenomena as polariton condensation and lasing in planar microcavities have so far been limited to two-level systems, where the condensation takes place in the lowest attainable state. Here, we report non-equilibrium Bose-Einstein condensation of exciton-polaritons and low threshold, dual-wavelength polariton lasing in vertically coupled, double planar microcavities. Moreover, we find that the presence of the non-resonantly driven condensate triggers interbranch exciton-polariton transfer in the form of energy-degenerate parametric scattering. Such an effect has so far been observed only under excitation that is strictly resonant in terms of the energy and incidence angle. We describe theoretically our time-integrated and time-resolved photoluminescence investigations by a set of rate equations involving an opendissipative Gross-Pitaevskii equation. Our platform's inherent tunability is promising for construction of planar lattices, enabling three-dimensional polariton hopping and realization of photonic devices, such as two-qubit polariton-based logic gates.

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“…The influence of noise and modulational instability in polaritons have been discussed in Refs. [48][49][50]. However, they all consider the reservoir has no fluctuations and substitutes the steady-state of the reservoir to get two coupling equations.…”

Section: Introductionmentioning

confidence: 99%

Nonequilibrium Landau-Zener tunneling in exciton-polariton condensates

Zhang

Liang

2020

Phys. Rev. A

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For describing a coherent quantum two-level system driven by a linearly time-dependent detuning, the Landau-Zener model is routine to serve as a textbook model of its dynamics. Along this research line, a particularly intriguing question is whether such framework can be extended to capture an intrinsic nonequilibrium nature for a quantum system with coherent and dissipative dynamics occurring on an equal footing. In this work, we are motivated to investigate the Landau-Zener problem of polariton condensates in a periodic potential under nonresonant pumping by using the driven-dissipative Gross-Pitaevskii equations coupled to the rate equation. Within the two-mode approximation, a nonequilibrium Landau-Zener model, characterized by coherent and dissipative dynamics occurring on an equal footing, are derived. Fundamentally different from the previous Landau-Zener model, the total density of nonequilibrium Landau-Zener model general is not the conserved quantity anymore due to the dissipative nature. In surprise, the parameter regimes of the total density still being conserved can still be found. The motion of Hamiltonian of non-equilibrium Landau-Zener problem in phase space is further discussed, which is directly corresponding to the tunneling rate. The instability of the band structure can also be studied by the curvatures in phase space and there may be two loops in the middle of the Brillouin zone. Detailed analysis on the non-equlibrium nature on the tunneling rate will open a new perspective toward understanding the Landau-Zener problem.

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Theory of relaxation oscillations in exciton-polariton condensates

Cited by 15 publications

References 40 publications

Leaky Integrate‐and‐Fire Mechanism in Exciton–Polariton Condensates for Photonic Spiking Neurons

Leaky Integrate‐and‐Fire Mechanism in Exciton–Polariton Condensates for Photonic Spiking Neurons

Polariton lasing and energy-degenerate parametric scattering in non-resonantly driven coupled planar microcavities

Nonequilibrium Landau-Zener tunneling in exciton-polariton condensates

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