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Emergence of microfrequency comb via limit cycles in dissipatively coupled condensates

DOI:10.1103/PhysRevB.101.085302 期刊:Physical Review B 出版年份:2020 更新时间:2025-09-23 15:21:01
摘要: Self-sustained oscillations, limit cycles, are a fundamental phenomenon unique to nonlinear dynamic systems of high-dimensional phase space. They enable understanding of a wide range of cyclic processes in natural, social, and engineering systems. Here we show that limit cycles form in coupled polariton cavities following the breaking of Josephson coupling, leading to frequency-comb emission. The limit cycles and destruction of Josephson coupling both appear due to interplay between strong polariton-polariton interaction and a dissipative contribution to the cavity coupling. The resulting nonlinear dynamics of the condensates is characterized by asymmetric population distribution and nontrivial average phase difference between the two condensates, and by time-periodic modulation of their amplitudes and phases. The latter is manifested by coherent emission of new equidistant frequency components. The emission spectrum resembles that of a microfrequency comb, but originates from a fundamentally different mechanism than that of existing frequency combs. It allows nonresonant excitation with a power input much below the conventional semiconductor laser threshold. The comb line spacing is determined by the interaction and coupling strengths, and is adjustable up to multiterahertz frequency. The work establishes coupled polariton cavities as an experimental platform for rich nonlinear dynamic phenomena.
作者: Seonghoon Kim,Yuri G. Rubo,Timothy C. H. Liew,Sebastian Brodbeck,Christian Schneider,Sven H?fling,Hui Deng
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Investigating the emergence of limit cycles in coupled polariton cavities and their manifestation as frequency-comb emission.

The study demonstrates the formation of limit cycle oscillations in dissipatively coupled nonlinear polariton condensates, characterized by the generation of equidistant new frequency components, coherence revivals in g(1)(τ), asymmetric distribution in both real and Fourier space, and a nontrivial relative phase that is neither zero nor π. These findings establish coupled polariton cavities as a platform for exploring rich nonlinear dynamic phenomena and potential applications in nonresonantly pumped, low-power sources of microfrequency combs or terahertz waves.

The study is limited by the need for large on-site interaction α ? μ to produce the limit cycles, which can be realized with tight confinement of the EPs. Additionally, the dissipative coupling rate γ is estimated to be about one-tenth of the cavity decay rate, which may limit the observability of the limit cycle state under certain conditions.

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