Cosmological Complexity

Show simple item record Bhattacharyya, Arpan Das, Saurya Haque, S. Shajidul Underwood, Bret 2020-02-22T06:10:46Z 2020-02-22T06:10:46Z 2020-01
dc.identifier.citation Bhattacharyya, Arpan; Das, Saurya; Haque, S. Shajidul and Underwood, Bret, "Cosmological complexity", arXiv, Cornell University Library, DOI: arXiv:2001.08664, Jan. 2020. en_US
dc.description.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.
dc.description.statementofresponsibility by Arpan Bhattacharyya, Saurya Das, S. Shajidul Haque and Bret Underwood
dc.language.iso en_US en_US
dc.publisher Cornell University Library en_US
dc.subject High Energy Physics - Theory (hep-th) en_US
dc.subject General Relativity and Quantum Cosmology (gr-qc) en_US
dc.subject Quantum Physics (quant-ph) en_US
dc.title Cosmological Complexity en_US
dc.type Pre-Print en_US
dc.relation.journal arXiv

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