Quantum correlations in a gravitational collapse simulation with SpheriCo.jl
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916821886566400 |
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| author | Berczi, Benjamin Eriksson, Magdalena Giannakopoulos, Thanasis Saffin, Paul M. |
| author_facet | Berczi, Benjamin Eriksson, Magdalena Giannakopoulos, Thanasis Saffin, Paul M. |
| contents | We report on work using a newly developed code, SpheriCo.jl, that computes the gravitational collapse of a spherical scalar field, where the scalar can be either a classical field, or a quantum field operator. By utilising summation-by-parts methods for the numerical derivatives we are able to simulate the collapse longer than was possible previously due to enhanced numerical stability. We present a suite of tests for the code that tests its accuracy and stability, both for the classical and quantum fields. We are able to observe critical behavior of gravitational collapse for the classical setup, in agreement with expected results. The code is also used to compute two-point correlation functions, with results that hint at a non-trivial correlation across the horizon of Hawking quanta. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19722 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum correlations in a gravitational collapse simulation with SpheriCo.jl Berczi, Benjamin Eriksson, Magdalena Giannakopoulos, Thanasis Saffin, Paul M. General Relativity and Quantum Cosmology High Energy Physics - Theory We report on work using a newly developed code, SpheriCo.jl, that computes the gravitational collapse of a spherical scalar field, where the scalar can be either a classical field, or a quantum field operator. By utilising summation-by-parts methods for the numerical derivatives we are able to simulate the collapse longer than was possible previously due to enhanced numerical stability. We present a suite of tests for the code that tests its accuracy and stability, both for the classical and quantum fields. We are able to observe critical behavior of gravitational collapse for the classical setup, in agreement with expected results. The code is also used to compute two-point correlation functions, with results that hint at a non-trivial correlation across the horizon of Hawking quanta. |
| title | Quantum correlations in a gravitational collapse simulation with SpheriCo.jl |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.19722 |