Entanglement entropy at critical points of classical evolution in oscillatory and exotic singularity multiverse models Article Swipe
Adam Balcerzak
,
Samuel Barroso Bellido
,
Mariusz P. Da̧browski
,
Salvador Robles-Pérez
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1103/physrevd.103.043507
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.1103/physrevd.103.043507
Using the 3rd quantization formalism we study the quantum entanglement of\nuniverses created in pairs within the framework of standard homogeneous and\nisotropic cosmology. In particular, we investigate entanglement quantities\n(entropy, temperature) around maxima, minima and inflection points of the\nclassical evolution. The novelty from previous works is that we show how the\nentanglement changes in an extended minisuperspace parameterised by the scale\nfactor and additionally, by the massless scalar field. We study the\nentanglement quantities for the universes which classically exhibit Big-Bang\nand other than Big-Bang (exotic) singularities such as Big-Brake, Big-Freeze,\nBig-Separation, and Little-Rip. While taking into account the scalar field, we\nfind that the entanglement entropy is finite at the Big-Bang singularity and\ndiverges at maxima or minima of expansion. As for the exotic singularity models\nwe find that the entanglement entropy or the temperature in all the critical\npoints and singularities is either finite or infinite, but it never vanishes.\nThis shows that each of the universes of a pair is entangled to a degree\nparametrized by the entanglement quantities which measure the quantumness of\nthe system. Apart from the von Neumann entanglement entropy, we also check the\nbehaviour of the the Tsallis and the Renyi entanglement entropies, and find\nthat they behave similarly as the meters of the quantumness. Finally, we find\nthat the best-fit relation between the entanglement entropy and the Hubble\nparameter (which classically marks special points of the universe evolution) is\nof the logarithmic shape, and not polynomial, as one could initially expect.\n
Related Topics
Concepts
Quantum entanglement
Physics
Gravitational singularity
Minisuperspace
Scalar field
Squashed entanglement
Singularity
Entropy (arrow of time)
Joint quantum entropy
Theoretical physics
Mathematical physics
Quantum mechanics
Statistical physics
Quantum
Mathematics
Quantum cosmology
Quantum gravity
Geometry
Metadata
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/physrevd.103.043507
- OA Status
- green
- Cited By
- 6
- References
- 70
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3089826900
All OpenAlex metadata
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https://openalex.org/W3089826900Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/physrevd.103.043507Digital Object Identifier
- Title
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Entanglement entropy at critical points of classical evolution in oscillatory and exotic singularity multiverse modelsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2021Year of publication
- Publication date
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2021-02-03Full publication date if available
- Authors
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Adam Balcerzak, Samuel Barroso Bellido, Mariusz P. Da̧browski, Salvador Robles-PérezList of authors in order
- Landing page
-
https://doi.org/10.1103/physrevd.103.043507Publisher landing page
- Open access
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YesWhether a free full text is available
- OA status
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greenOpen access status per OpenAlex
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https://arxiv.org/pdf/2009.14058Direct OA link when available
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Quantum entanglement, Physics, Gravitational singularity, Minisuperspace, Scalar field, Squashed entanglement, Singularity, Entropy (arrow of time), Joint quantum entropy, Theoretical physics, Mathematical physics, Quantum mechanics, Statistical physics, Quantum, Mathematics, Quantum cosmology, Quantum gravity, GeometryTop concepts (fields/topics) attached by OpenAlex
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6Total citation count in OpenAlex
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2025: 1, 2022: 3, 2021: 2Per-year citation counts (last 5 years)
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10Other works algorithmically related by OpenAlex
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