Cosmological Complexity
- URL: http://arxiv.org/abs/2001.08664v2
- Date: Thu, 21 May 2020 10:47:30 GMT
- Title: Cosmological Complexity
- Authors: Arpan Bhattacharyya, Saurya Das, S. Shajidul Haque, Bret Underwood
- Abstract summary: We compute the quantum circuit complexity of the evolution of scalar curvature perturbations on expanding backgrounds.
We construct a simple cosmological model consisting of an early-time period of de Sitter expansion followed by a radiation-dominated era.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We compute the quantum circuit complexity of the evolution of scalar
curvature perturbations on expanding backgrounds, using the language of
squeezed vacuum states. In particular, we construct a simple cosmological model
consisting of an early-time period of de Sitter expansion followed by a
radiation-dominated era and track the evolution of complexity throughout this
history. During early-time de Sitter expansion the complexity grows linearly
with the number of e-folds for modes outside the horizon. The evolution of
complexity also suggests that the Universe behaves like a chaotic system during
this era, for which we propose a scrambling time and Lyapunov exponent. During
the radiation-dominated era, however, the complexity decreases until it
"freezes in" after horizon re-entry, leading to a "de-complexification" of the
Universe.
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