The special case of slow-roll attractors in de Sitter: Non-Markovian noise and evolution of entanglement entropy
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arXiv
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| Format: | Preprint |
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2024
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| author | Brahma, Suddhasattwa Calderón-Figueroa, Jaime Luo, Xiancong Seery, David |
| author_facet | Brahma, Suddhasattwa Calderón-Figueroa, Jaime Luo, Xiancong Seery, David |
| contents | We analyse the evolution of the reduced density matrix of inflationary perturbations, coupled to a heavy entropic field via the leading-order term within the Effective Field Theory of Inflation, for two nearly de Sitter backgrounds. We perform a full quantum treatment of the open system and derive a Fokker-Planck equation to describe decoherence and the entanglement structure of the adiabatic perturbations. We find that exotic phenomena, such as recoherence and transient negative growth of entanglement entropy, appearing for the attractor solution, are absent for the non-attractor background. We comment on the relationship of these to the non-Markovian nature of the system. Finally, we generalise to the case where a few e-folds of ultra-slow roll evolution are sandwiched between phases of slow-roll inflation to find its (memory) effects on the curvature perturbation. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_08632 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The special case of slow-roll attractors in de Sitter: Non-Markovian noise and evolution of entanglement entropy Brahma, Suddhasattwa Calderón-Figueroa, Jaime Luo, Xiancong Seery, David High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology We analyse the evolution of the reduced density matrix of inflationary perturbations, coupled to a heavy entropic field via the leading-order term within the Effective Field Theory of Inflation, for two nearly de Sitter backgrounds. We perform a full quantum treatment of the open system and derive a Fokker-Planck equation to describe decoherence and the entanglement structure of the adiabatic perturbations. We find that exotic phenomena, such as recoherence and transient negative growth of entanglement entropy, appearing for the attractor solution, are absent for the non-attractor background. We comment on the relationship of these to the non-Markovian nature of the system. Finally, we generalise to the case where a few e-folds of ultra-slow roll evolution are sandwiched between phases of slow-roll inflation to find its (memory) effects on the curvature perturbation. |
| title | The special case of slow-roll attractors in de Sitter: Non-Markovian noise and evolution of entanglement entropy |
| topic | High Energy Physics - Theory Cosmology and Nongalactic Astrophysics General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2411.08632 |