Critical fluctuations at a many-body exceptional point
Critical phenomena arise ubiquitously in various contexts of physics, from condensed matter, high-energy physics, cosmology, to biological systems, and consist of slow and long-distance fluctuations near a phase transition or critical point. Usually, these phenomena are associated with the softening...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-07-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.033018 |
| _version_ | 1797211442349342720 |
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| author | Ryo Hanai Peter B. Littlewood |
| author_facet | Ryo Hanai Peter B. Littlewood |
| author_sort | Ryo Hanai |
| collection | DOAJ |
| description | Critical phenomena arise ubiquitously in various contexts of physics, from condensed matter, high-energy physics, cosmology, to biological systems, and consist of slow and long-distance fluctuations near a phase transition or critical point. Usually, these phenomena are associated with the softening of a massive mode. Here, we show that a non-Hermitian-induced mechanism of critical phenomena that does not fall into this class can arise in the steady state of generic driven-dissipative many-body systems with coupled binary order parameters such as exciton-polariton condensates and driven-dissipative Bose-Einstein condensates in a double-well potential. The criticality of this “critical exceptional point” is attributed to the coalescence of the collective eigenmodes that convert all the thermal-and-dissipative-noise-activated fluctuations to the Goldstone mode, leading to anomalously giant phase fluctuations that diverge at spatial dimensions d≤4. Our dynamic renormalization group analysis shows that this gives rise to a strong-coupling fixed point at dimensions as high as d<8 associated with a universality class beyond the classification by Hohenberg and Halperin, indicating how anomalously strong the many-body corrections are at this point. We find that this anomalous enhancement of many-body correlation is due to the appearance of a sound mode at the critical exceptional point despite the system's dissipative character. |
| first_indexed | 2024-04-24T10:26:33Z |
| format | Article |
| id | doaj.art-f95a260530a44d52932959af9ba803ce |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:26:33Z |
| publishDate | 2020-07-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-f95a260530a44d52932959af9ba803ce2024-04-12T16:56:33ZengAmerican Physical SocietyPhysical Review Research2643-15642020-07-012303301810.1103/PhysRevResearch.2.033018Critical fluctuations at a many-body exceptional pointRyo HanaiPeter B. LittlewoodCritical phenomena arise ubiquitously in various contexts of physics, from condensed matter, high-energy physics, cosmology, to biological systems, and consist of slow and long-distance fluctuations near a phase transition or critical point. Usually, these phenomena are associated with the softening of a massive mode. Here, we show that a non-Hermitian-induced mechanism of critical phenomena that does not fall into this class can arise in the steady state of generic driven-dissipative many-body systems with coupled binary order parameters such as exciton-polariton condensates and driven-dissipative Bose-Einstein condensates in a double-well potential. The criticality of this “critical exceptional point” is attributed to the coalescence of the collective eigenmodes that convert all the thermal-and-dissipative-noise-activated fluctuations to the Goldstone mode, leading to anomalously giant phase fluctuations that diverge at spatial dimensions d≤4. Our dynamic renormalization group analysis shows that this gives rise to a strong-coupling fixed point at dimensions as high as d<8 associated with a universality class beyond the classification by Hohenberg and Halperin, indicating how anomalously strong the many-body corrections are at this point. We find that this anomalous enhancement of many-body correlation is due to the appearance of a sound mode at the critical exceptional point despite the system's dissipative character.http://doi.org/10.1103/PhysRevResearch.2.033018 |
| spellingShingle | Ryo Hanai Peter B. Littlewood Critical fluctuations at a many-body exceptional point Physical Review Research |
| title | Critical fluctuations at a many-body exceptional point |
| title_full | Critical fluctuations at a many-body exceptional point |
| title_fullStr | Critical fluctuations at a many-body exceptional point |
| title_full_unstemmed | Critical fluctuations at a many-body exceptional point |
| title_short | Critical fluctuations at a many-body exceptional point |
| title_sort | critical fluctuations at a many body exceptional point |
| url | http://doi.org/10.1103/PhysRevResearch.2.033018 |
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