Chaos and complementarity in de Sitter space

Aalsma, Lars; Shiu, Gary

doi:10.1007/jhep05(2020)152

Cited by 62 publications

(77 citation statements)

References 59 publications

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“…For backgrounds that satisfy the null energy condition, de Sitter has the largest complexity growth, suggesting it is maximally chaotic among these backgrounds. We also conjecture a scrambling time for cosmological perturbations, finding rough agreement with other results in the literature [30][31][32].…”

Section: Introductionsupporting

confidence: 90%

“…Interestingly, this is of the same order (up to a factor of 2) as the scrambling time for de Sitter space proposed in [30], which was also found in a study of the out-of-time-order correlator for de Sitter space in [31,32], suggesting evidence in favor of this conjectured relationship. It is also identical to the timescale of the recently proposed Trans-Planckian Censorship Conjecture (see [35,36], among others), since it is simply the timescale for a Planck-scale wavelength to exit the horizon.…”

Section: A Complexity For Expanding Flrw Backgroundssupporting

confidence: 77%

“…where t 0 is the typical age of the universe for equation of state w. Again, we see that for de Sitter space our conjectured scrambling time (61) is of the same order (up to a factor of 2) as the scrambling times proposed in [30][31][32]. More generally, for w → −1/3, the conjectured scrambling time (61) vanishes, t scramb → 0.…”

Section: A Complexity For Expanding Flrw Backgroundssupporting

confidence: 67%

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Rise of cosmological complexity: Saturation of growth and chaos

Bhattacharyya

Das

Haque

et al. 2020

Phys. Rev. Research

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We compute the circuit complexity of scalar curvature perturbations on Friedmann-Lemaître-Robertson-Walker cosmological backgrounds with a fixed equation of state w using the language of squeezed vacuum states. Backgrounds that are accelerating and expanding, or decelerating and contracting, exhibit features consistent with chaotic behavior, including linearly growing complexity. Remarkably, we uncover a bound on the growth of complexity for both expanding and contracting backgrounds λ √ 2 |H |, similar to other bounds proposed independently in the literature. The bound is saturated for expanding backgrounds with an equation of state more negative than w = −5/3, and for contracting backgrounds with an equation of state larger than w = 1. For expanding backgrounds that preserve the null energy condition, de Sitter space has the largest rate of growth of complexity, and we find a scrambling time that is similar to other estimates up to order 1 factors.

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Section: Introductionsupporting

confidence: 90%

Section: A Complexity For Expanding Flrw Backgroundssupporting

confidence: 77%

Section: A Complexity For Expanding Flrw Backgroundssupporting

confidence: 67%

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Rise of cosmological complexity: Saturation of growth and chaos

Bhattacharyya

Das

Haque

et al. 2020

Phys. Rev. Research

View full text Add to dashboard Cite

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“…Examples of chaotic systems are QFTs which have a gravitational description, e.g. [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Interestingly, in holographic theories, it has been proposed that λ L and v B can be determined also by the retarded two point function G R (ω, k) of energy density T 00 in momentum space [27,28].…”

Section: Jhep09(2020)111mentioning

confidence: 99%

Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography

Ahn

Jahnke

Jeong

et al. 2020

J. High Energ. Phys.

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Motivated by the recent connection between pole-skipping phenomena of two point functions and four point out-of-time-order correlators (OTOCs), we study the pole structure of thermal two-point functions in d-dimensional conformal field theories (CFTs) in hyperbolic space. We derive the pole-skipping points of two-point functions of scalar and vector fields by three methods (one field theoretic and two holographic methods) and confirm that they agree. We show that the leading pole-skipping point of two point functions is related with the late time behavior of conformal blocks and shadow conformal blocks in four-point OTOCs.

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“…Finally, there has also been a recent study regarding chaos and complementarity for dS spacetimes [65]. In its application to inflationary backgrounds, the authors find that to have backreaction under control, a statement somewhat equivalent to the TCC can be made but only with a refinement such that…”

Section: Jhep08(2020)071mentioning

confidence: 99%

Role of trans-Planckian modes in cosmology

Berera

Brahma

Calderón

2020

J. High Energ. Phys.

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Motivated by the old trans-Planckian (TP) problem of inflationary cosmology, it has been conjectured that any consistent effective field theory should keep TP modes 'hidden' behind the Hubble horizon, so as to prevent them from turning classical and thereby affecting macroscopic observations. In this paper we present two arguments against the Hubble horizon being a scale of singular significance as has been put forward in the TP Censorship Conjecture (TCC). First, refinements of TCC are presented that allow for the TP modes to grow beyond the horizon while still keeping the de-Sitter conjecture valid. Second, we show that TP modes can turn classical even well within the Hubble horizon, which, as such, negates this rationale behind keeping them from crossing it. The role of TP modes is known to be less of a problem in warm inflation, because fluctuations start out usually as classical. This allows warm inflation to be more resilient to the TP problem compared to cold inflation. To understand how robust this is, we identity limits where quantum modes can affect the primordial power spectrum in one specific case.

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Chaos and complementarity in de Sitter space

Cited by 62 publications

References 59 publications

Rise of cosmological complexity: Saturation of growth and chaos

Rise of cosmological complexity: Saturation of growth and chaos

Pole-skipping of scalar and vector fields in hyperbolic space: conformal blocks and holography

Role of trans-Planckian modes in cosmology

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