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Title: de Sitter space as a tensor network: Cosmic no-hair, complementarity, and complexity

Journal Article · · Physical Review D
 [1];  [1];  [1];  [1]
  1. California Inst. of Technology (CalTech), Pasadena, CA (United States)
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Here, we investigate the proposed connection between de Sitter spacetime and the multiscale entanglement renormalization ansatz (MERA) tensor network, and ask what can be learned via such a construction. We show that the quantum state obeys a cosmic no-hair theorem: the reduced density operator describing a causal patch of the MERA asymptotes to a fixed point of a quantum channel, just as spacetimes with a positive cosmological constant asymptote to de Sitter space. The MERA is potentially compatible with a weak form of complementarity (local physics only describes single patches at a time, but the overall Hilbert space is infinite dimensional) or, with certain specific modifications to the tensor structure, a strong form (the entire theory describes only a single patch plus its horizon, in a finite-dimensional Hilbert space). Furthermore, we suggest that de Sitter evolution has an interpretation in terms of circuit complexity, as has been conjectured for anti–de Sitter space.

Research Organization:
California Institute of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Grant/Contract Number:
SC0011632
OSTI ID:
1597496
Alternate ID(s):
OSTI ID: 1416433
Journal Information:
Physical Review D, Vol. 96, Issue 12; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 20 works
Citation information provided by
Web of Science

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Cited By (3)

Towards a Fisher-Information Description of Complexity in de Sitter Universe journal November 2019
Complexity growth of rotating black holes with a probe string journal December 2018
Conformal Quasicrystals and Holography text January 2018

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79 ASTRONOMY AND ASTROPHYSICS
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