General theory of spontaneous emission near exceptional points
We present a general theory of spontaneous emission at exceptional points (EPs)- exotic degeneracies in non-Hermitian systems. Our theory extends beyond spontaneous emission to any light-matter interaction described by the local density of states (e.g., absorption, thermal emission, and nonlinear fr...
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| Format: | Article |
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The Optical Society
2018
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| Online Access: | http://hdl.handle.net/1721.1/115585 https://orcid.org/0000-0002-7572-4594 https://orcid.org/0000-0002-7184-5831 https://orcid.org/0000-0001-7327-4967 |
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| author | Pick, Adi Miller, Owen D. Hsu, Chia W. Rodriguez, Alejandro W. Zhen, Bo Hernandez, Felipe Soljacic, Marin Johnson, Steven G |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Pick, Adi Miller, Owen D. Hsu, Chia W. Rodriguez, Alejandro W. Zhen, Bo Hernandez, Felipe Soljacic, Marin Johnson, Steven G |
| author_sort | Pick, Adi |
| collection | MIT |
| description | We present a general theory of spontaneous emission at exceptional points (EPs)- exotic degeneracies in non-Hermitian systems. Our theory extends beyond spontaneous emission to any light-matter interaction described by the local density of states (e.g., absorption, thermal emission, and nonlinear frequency conversion). Whereas traditional spontaneous-emission theories imply infinite enhancement factors at EPs, we derive finite bounds on the enhancement, proving maximum enhancement of 4 in passive systems with second-order EPs and significantly larger enhancements (exceeding 400×) in gain-aided and higher-order EP systems. In contrast to non-degenerate resonances, which are typically associated with Lorentzian emission curves in systems with low losses, EPs are associated with non-Lorentzian lineshapes, leading to enhancements that scale nonlinearly with the resonance quality factor. Our theory can be applied to dispersive media, with proper normalization of the resonant modes. |
| first_indexed | 2024-09-23T09:05:13Z |
| format | Article |
| id | mit-1721.1/115585 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T09:05:13Z |
| publishDate | 2018 |
| publisher | The Optical Society |
| record_format | dspace |
| spelling | mit-1721.1/1155852022-09-26T10:20:56Z General theory of spontaneous emission near exceptional points Pick, Adi Miller, Owen D. Hsu, Chia W. Rodriguez, Alejandro W. Zhen, Bo Hernandez, Felipe Soljacic, Marin Johnson, Steven G Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Research Laboratory of Electronics Zhen, Bo Hernandez, Felipe Soljacic, Marin Johnson, Steven G We present a general theory of spontaneous emission at exceptional points (EPs)- exotic degeneracies in non-Hermitian systems. Our theory extends beyond spontaneous emission to any light-matter interaction described by the local density of states (e.g., absorption, thermal emission, and nonlinear frequency conversion). Whereas traditional spontaneous-emission theories imply infinite enhancement factors at EPs, we derive finite bounds on the enhancement, proving maximum enhancement of 4 in passive systems with second-order EPs and significantly larger enhancements (exceeding 400×) in gain-aided and higher-order EP systems. In contrast to non-degenerate resonances, which are typically associated with Lorentzian emission curves in systems with low losses, EPs are associated with non-Lorentzian lineshapes, leading to enhancements that scale nonlinearly with the resonance quality factor. Our theory can be applied to dispersive media, with proper normalization of the resonant modes. Massachusetts Institute of Technology. Institute for Soldier Nanotechnologies (Contract W911NF-13-D-0001) Solid-State Solar-Thermal Energy Conversion Center (Grant DESC0001299) United States-Israel Binational Science Foundation (Award 2013508) 2018-05-23T14:09:01Z 2018-05-23T14:09:01Z 2017-05 2017-04 2018-05-22T18:28:34Z Article http://purl.org/eprint/type/JournalArticle 1094-4087 http://hdl.handle.net/1721.1/115585 Pick, Adi, et al. “General Theory of Spontaneous Emission near Exceptional Points.” Optics Express, vol. 25, no. 11, May 2017, p. 12325. https://orcid.org/0000-0002-7572-4594 https://orcid.org/0000-0002-7184-5831 https://orcid.org/0000-0001-7327-4967 http://dx.doi.org/10.1364/OE.25.012325 Optics Express Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf The Optical Society arXiv |
| spellingShingle | Pick, Adi Miller, Owen D. Hsu, Chia W. Rodriguez, Alejandro W. Zhen, Bo Hernandez, Felipe Soljacic, Marin Johnson, Steven G General theory of spontaneous emission near exceptional points |
| title | General theory of spontaneous emission near exceptional points |
| title_full | General theory of spontaneous emission near exceptional points |
| title_fullStr | General theory of spontaneous emission near exceptional points |
| title_full_unstemmed | General theory of spontaneous emission near exceptional points |
| title_short | General theory of spontaneous emission near exceptional points |
| title_sort | general theory of spontaneous emission near exceptional points |
| url | http://hdl.handle.net/1721.1/115585 https://orcid.org/0000-0002-7572-4594 https://orcid.org/0000-0002-7184-5831 https://orcid.org/0000-0001-7327-4967 |
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