Dynamical phase diagram of parity-time symmetry with competing saturable channels
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2017
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| _version_ | 1866909164196855808 |
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| author | Yu, Sunkyu Piao, Xianji Park, Namkyoo |
| author_facet | Yu, Sunkyu Piao, Xianji Park, Namkyoo |
| contents | Nonlinear channels play a critical role in realizing dynamical functions. Neural ionic channels and non-volatile memristors each derive representative biological and electrical functionalities, such as repetitive firing or pinched hysteresis. In electromagnetics, saturable channels of amplification or absorption provide a large nonlinearity for nonequilibrium wave dynamics, from conventional lasing to mode locking to recent achievements of the non-reciprocity in complex potentials. Here, we investigate the dynamical phase diagram of parity-time symmetric systems, governed by competing nonlinear channels of saturable amplification and absorption. Determined by the relative strength and saturation level of the channels, three distinctive phases of fast- and slow-response equilibriums, and an oscillating nonequilibrium are demonstrated. On phase boundaries, we also reveal the chaotic existence of the strong oscillation state, which allows the non-reciprocal realization of repetitive resonator firing with fully tunable time delays. This work will promote the wave-based realization of nonlinear and chaotic temporal functions, toward light-based neural systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1707_07096 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Dynamical phase diagram of parity-time symmetry with competing saturable channels Yu, Sunkyu Piao, Xianji Park, Namkyoo Optics Quantum Physics Nonlinear channels play a critical role in realizing dynamical functions. Neural ionic channels and non-volatile memristors each derive representative biological and electrical functionalities, such as repetitive firing or pinched hysteresis. In electromagnetics, saturable channels of amplification or absorption provide a large nonlinearity for nonequilibrium wave dynamics, from conventional lasing to mode locking to recent achievements of the non-reciprocity in complex potentials. Here, we investigate the dynamical phase diagram of parity-time symmetric systems, governed by competing nonlinear channels of saturable amplification and absorption. Determined by the relative strength and saturation level of the channels, three distinctive phases of fast- and slow-response equilibriums, and an oscillating nonequilibrium are demonstrated. On phase boundaries, we also reveal the chaotic existence of the strong oscillation state, which allows the non-reciprocal realization of repetitive resonator firing with fully tunable time delays. This work will promote the wave-based realization of nonlinear and chaotic temporal functions, toward light-based neural systems. |
| title | Dynamical phase diagram of parity-time symmetry with competing saturable channels |
| topic | Optics Quantum Physics |
| url | https://arxiv.org/abs/1707.07096 |